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Class 9 Mathematics - Introduction to Polynomials - Linear growth and decay Expert Quiz

Mathematics Introduction to Polynomials Linear growth and decay Expert Class 9 Topic Quiz

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Question 1/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

किसी पौधे की ऊंचाई (t=3) पर (34) सेमी और (t=9) पर (82) सेमी है। यदि वृद्धि रेखीय है तो सही मॉडल क्या होगा?

A plant's height is (34) cm at (t=3) and (82) cm at (t=9). If the growth is linear then what is the correct model?

Explanation opens after your attempt
Correct Answer

A. (H(t)=10+8t)

Explanation

Simple Explanation

दर \(\frac{82-34}{9-3}=8\) है। (34=a+8(3)) से (a=10) मिलता है। / The rate is \(\frac{82-34}{9-3}=8\). From (34=a+8(3)), (a=10).

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Question 2/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

एक टंकी में (t=2) पर (164) लीटर और (t=8) पर (104) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

A tank has (164) litres at (t=2) and (104) litres at (t=8). What is the linear decay model?

Explanation opens after your attempt
Correct Answer

B. (W(t)=184-10t)

Explanation

Simple Explanation

दर \(\frac{104-164}{8-2}=-10\) है। (164=a-10(2)) से (a=184) मिलता है। / The rate is \(\frac{104-164}{8-2}=-10\). From (164=a-10(2)), (a=184).

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Question 3/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

दो मॉडल (A(t)=36+9t) और (B(t)=126-6t) कब बराबर होंगे?

When will the two models (A(t)=36+9t) and (B(t)=126-6t) be equal?

Explanation opens after your attempt
Correct Answer

C. (t=6)

Explanation

Simple Explanation

बराबरी के लिए (36+9t=126-6t) रखें। इससे (15t=90) और (t=6) मिलता है। / For equality set (36+9t=126-6t). This gives (15t=90) and (t=6).

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Question 4/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (P(t)=52+4t) और (Q(t)=148-8t) है तो किस (t) पर (P(t)=Q(t)) होगा?

If (P(t)=52+4t) and (Q(t)=148-8t), at which (t) will (P(t)=Q(t))?

Explanation opens after your attempt
Correct Answer

B. (t=8)

Explanation

Simple Explanation

(52+4t=148-8t) से (12t=96) होता है। इसलिए (t=8) सही है। / From (52+4t=148-8t), (12t=96). Therefore (t=8) is correct.

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Question 5/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (f(x)=a+12x) और (f(4)=95), तो (f(10)) क्या होगा?

If (f(x)=a+12x) and (f(4)=95), what will (f(10)) be?

Explanation opens after your attempt
Correct Answer

C. (167)

Explanation

Simple Explanation

(a+48=95) से (a=47) मिलता है। फिर (f(10)=47+120=167) है। / From (a+48=95), (a=47). Then (f(10)=47+120=167).

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Question 6/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (g(x)=b-11x) और (g(5)=103), तो (g(12)) क्या होगा?

If (g(x)=b-11x) and (g(5)=103), what will (g(12)) be?

Explanation opens after your attempt
Correct Answer

A. (26)

Explanation

Simple Explanation

(b-55=103) से (b=158) है। इसलिए (g(12)=158-132=26) है। / From (b-55=103), (b=158). Therefore (g(12)=158-132=26).

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Question 7/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (y=22+3.25x), तो (x=2) से (x=14) तक (y) में कुल वृद्धि कितनी होगी?

If (y=22+3.25x), what is the total increase in (y) from (x=2) to (x=14)?

Explanation opens after your attempt
Correct Answer

B. (39)

Explanation

Simple Explanation

(x) में परिवर्तन (14-2=12) है। कुल वृद्धि \(3.25\times12=39\) है। / The change in (x) is (14-2=12). The total increase is \(3.25\times12=39\).

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Question 8/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (y=130-4.5x), तो (x=4) से (x=16) तक (y) में कुल कमी कितनी होगी?

If (y=130-4.5x), what is the total decrease in (y) from (x=4) to (x=16)?

Explanation opens after your attempt
Correct Answer

C. (54)

Explanation

Simple Explanation

(x) में परिवर्तन (16-4=12) है। कुल कमी \(4.5\times12=54\) है। / The change in (x) is (16-4=12). The total decrease is \(4.5\times12=54\).

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Question 9/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

एक राशि (x=4) पर (58) और (x=11) पर (135) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?

A quantity is (58) at (x=4) and (135) at (x=11). If the growth is linear then what is the increase per step?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

प्रति चरण वृद्धि \(\frac{135-58}{11-4}=11\) है। रेखीय मॉडल में दर स्थिर रहती है। / The increase per step is \(\frac{135-58}{11-4}=11\). In a linear model the rate remains constant.

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Question 10/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

एक मात्रा (x=3) पर (205) और (x=12) पर (97) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?

A quantity is (205) at (x=3) and (97) at (x=12). If the change is linear decay then what is the decrease per step?

Explanation opens after your attempt
Correct Answer

B. (12)

Explanation

Simple Explanation

कुल कमी (205-97=108) और चरण (9) हैं। प्रति चरण कमी \(\frac{108}{9}=12\) है। / The total decrease is (205-97=108) and there are (9) steps. The decrease per step is \(\frac{108}{9}=12\).

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Question 11/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (C(t)=28+kt) और (C(10)-C(4)=72), तो (k) क्या है?

If (C(t)=28+kt) and (C(10)-C(4)=72), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(C(10)-C(4)=k(10-4)=6k) है। (6k=72) से (k=12) मिलता है। / (C(10)-C(4)=k(10-4)=6k). From (6k=72), (k=12).

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Question 12/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (D(t)=240-kt) और (D(5)-D(13)=96), तो (k) क्या है?

If (D(t)=240-kt) and (D(5)-D(13)=96), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(D(5)-D(13)=k(13-5)=8k) है। (8k=96) से (k=12) मिलता है। / (D(5)-D(13)=k(13-5)=8k). From (8k=96), (k=12).

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Question 13/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (A(x)=32+7x), तो (A(x+5)-A(x-3)) का मान क्या है?

If (A(x)=32+7x), what is the value of (A(x+5)-A(x-3))?

Explanation opens after your attempt
Correct Answer

C. (56)

Explanation

Simple Explanation

चर में अंतर ((x+5)-(x-3)=8) है। दर (7) होने से अंतर (56) है। / The variable difference is ((x+5)-(x-3)=8). With rate (7), the difference is (56).

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Question 14/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (B(x)=260-9x), तो (B(x-4)-B(x+3)) का मान क्या है?

If (B(x)=260-9x), what is the value of (B(x-4)-B(x+3))?

Explanation opens after your attempt
Correct Answer

B. (63)

Explanation

Simple Explanation

((x+3)-(x-4)=7) चरणों में मान \(9\times7=63\) घटता है। इसलिए अंतर (63) है। / Over ((x+3)-(x-4)=7) steps the value decreases by \(9\times7=63\). So the difference is (63).

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Question 15/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

मॉडल (P(t)=p+10t) में (P(4)=92) और (P(s)=152) है। (s) क्या है?

In the model (P(t)=p+10t), (P(4)=92) and (P(s)=152). What is (s)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

(P(4)=92) से (p=52) है। (52+10s=152) से (s=10) मिलता है। / From (P(4)=92), (p=52). From (52+10s=152), (s=10).

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Question 16/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

मॉडल (R(t)=r-12t) में (R(3)=134) और (R(s)=50) है। (s) क्या है?

In the model (R(t)=r-12t), (R(3)=134) and (R(s)=50). What is (s)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

(R(3)=134) से (r=170) है। (170-12s=50) से (s=10) मिलता है। / From (R(3)=134), (r=170). From (170-12s=50), (s=10).

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Question 17/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

किस विकल्प में (y) (x) के बढ़ने पर (9) प्रति चरण बढ़ता है और (y(4)=61) है?

Which option makes (y) increase by (9) per step and has (y(4)=61)?

Explanation opens after your attempt
Correct Answer

A. (y=25+9x)

Explanation

Simple Explanation

दर (9) है और (a+9(4)=61) से (a=25) मिलता है। इसलिए (y=25+9x) सही है। / The rate is (9), and (a+9(4)=61) gives (a=25). So (y=25+9x) is correct.

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Question 18/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

किस विकल्प में (y) (x) के बढ़ने पर (7) प्रति चरण घटता है और (y(8)=94) है?

Which option makes (y) decrease by (7) per step and has (y(8)=94)?

Explanation opens after your attempt
Correct Answer

B. (y=150-7x)

Explanation

Simple Explanation

दर (-7) है और (a-7(8)=94) से (a=150) मिलता है। इसलिए (y=150-7x) सही है। / The rate is (-7), and (a-7(8)=94) gives (a=150). So (y=150-7x) is correct.

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Question 19/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (M(t)=62+5t) और (N(t)=142-5t), तो (M(t)) कब (N(t)) से (20) अधिक होगा?

If (M(t)=62+5t) and (N(t)=142-5t), when will (M(t)) be (20) more than (N(t))?

Explanation opens after your attempt
Correct Answer

C. (t=10)

Explanation

Simple Explanation

शर्त (M(t)=N(t)+20) है। (62+5t=162-5t) से (10t=100) और (t=10) मिलता है। / The condition is (M(t)=N(t)+20). From (62+5t=162-5t), (10t=100) and (t=10).

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Question 20/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (A(t)=190-8t) और (B(t)=46+4t), तो (A(t)) कब (B(t)) से (12) अधिक होगा?

If (A(t)=190-8t) and (B(t)=46+4t), when will (A(t)) be (12) more than (B(t))?

Explanation opens after your attempt
Correct Answer

C. (t=11)

Explanation

Simple Explanation

शर्त (190-8t=46+4t+12) है। इससे (132=12t) और (t=11) मिलता है। / The condition is (190-8t=46+4t+12). This gives (132=12t) and (t=11).

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Question 21/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (F(t)=50+rt) और (F(3)=F(11)-80), तो (r) क्या है?

If (F(t)=50+rt) and (F(3)=F(11)-80), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

(F(11)-F(3)=8r) है। (8r=80) से (r=10) मिलता है। / (F(11)-F(3)=8r). From (8r=80), (r=10).

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Question 22/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (G(t)=220-rt) और (G(4)=G(13)+99), तो (r) क्या है?

If (G(t)=220-rt) and (G(4)=G(13)+99), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

(G(4)-G(13)=9r) है। (9r=99) से (r=11) मिलता है। / (G(4)-G(13)=9r). From (9r=99), (r=11).

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Question 23/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

एक वस्तु की कीमत (P(n)=a+20n) है। यदि (P(6)=230), तो (P(13)) क्या है?

The price of an item is (P(n)=a+20n). If (P(6)=230), what is (P(13))?

Explanation opens after your attempt
Correct Answer

C. (370)

Explanation

Simple Explanation

(a+120=230) से (a=110) है। (P(13)=110+260=370) है। / From (a+120=230), (a=110). (P(13)=110+260=370).

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Question 24/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

एक मशीन का मूल्य (V(y)=c-2500y) है। यदि (V(4)=38000), तो (V(10)) क्या होगा?

A machine's value is (V(y)=c-2500y). If (V(4)=38000), what will (V(10)) be?

Explanation opens after your attempt
Correct Answer

A. (23000)

Explanation

Simple Explanation

(c-10000=38000) से (c=48000) है। (V(10)=48000-25000=23000) है। / From (c-10000=38000), (c=48000). (V(10)=48000-25000=23000).

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Question 25/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (y=30+6x), तो (x) का कौन सा मान (y) को (11x) के बराबर बनाता है?

If (y=30+6x), which value of (x) makes (y) equal to (11x)?

Explanation opens after your attempt
Correct Answer

C. (x=6)

Explanation

Simple Explanation

शर्त (30+6x=11x) है। इससे (30=5x) और (x=6) मिलता है। / The condition is (30+6x=11x). This gives (30=5x) and (x=6).

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Question 26/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (y=168-10x), तो (x) का कौन सा मान (y) को (4x) के बराबर बनाता है?

If (y=168-10x), which value of (x) makes (y) equal to (4x)?

Explanation opens after your attempt
Correct Answer

B. (x=12)

Explanation

Simple Explanation

शर्त (168-10x=4x) है। इससे (168=14x) और (x=12) मिलता है। / The condition is (168-10x=4x). This gives (168=14x) and (x=12).

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Question 27/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (L(t)=5t+23), तो (L(4t)-L(t)) क्या है?

If (L(t)=5t+23), what is (L(4t)-L(t))?

Explanation opens after your attempt
Correct Answer

C. (15t)

Explanation

Simple Explanation

(L(4t)=20t+23) और (L(t)=5t+23) है। अंतर (15t) है। / (L(4t)=20t+23) and (L(t)=5t+23). The difference is (15t).

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Question 28/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (K(t)=210-7t), तो (K(2t)-K(5t)) क्या है?

If (K(t)=210-7t), what is (K(2t)-K(5t))?

Explanation opens after your attempt
Correct Answer

B. (21t)

Explanation

Simple Explanation

(K(2t)=210-14t) और (K(5t)=210-35t) है। अंतर (21t) है। / (K(2t)=210-14t) and (K(5t)=210-35t). The difference is (21t).

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Question 29/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (Y(x)=a+8x) रेखीय वृद्धि है और (Y(3)+Y(9)=180), तो (a) क्या है?

If (Y(x)=a+8x) is linear growth and (Y(3)+Y(9)=180), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (42)

Explanation

Simple Explanation

(Y(3)+Y(9)=(a+24)+(a+72)=2a+96) है। (2a+96=180) से (a=42) मिलता है। / (Y(3)+Y(9)=(a+24)+(a+72)=2a+96). From (2a+96=180), (a=42).

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Question 30/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (Z(x)=b-10x) रेखीय क्षय है और (Z(2)+Z(7)=130), तो (b) क्या है?

If (Z(x)=b-10x) is linear decay and (Z(2)+Z(7)=130), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (110)

Explanation

Simple Explanation

(Z(2)+Z(7)=(b-20)+(b-70)=2b-90) है। (2b-90=130) से (b=110) मिलता है। / (Z(2)+Z(7)=(b-20)+(b-70)=2b-90). From (2b-90=130), (b=110).

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Question 31/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (p(x)=35+7x) और (q(x)=10x-4), तो (p(x)) और (q(x)) कब बराबर होंगे?

If (p(x)=35+7x) and (q(x)=10x-4), when will (p(x)) and (q(x)) be equal?

Explanation opens after your attempt
Correct Answer

C. (x=13)

Explanation

Simple Explanation

(35+7x=10x-4) रखने पर (39=3x) मिलता है। इसलिए (x=13) है। / Setting (35+7x=10x-4) gives (39=3x). Therefore (x=13).

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Question 32/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (p(x)=220-12x) और (q(x)=76+4x), तो (p(x)=q(x)) के लिए (x) क्या है?

If (p(x)=220-12x) and (q(x)=76+4x), what is (x) for (p(x)=q(x))?

Explanation opens after your attempt
Correct Answer

C. (x=9)

Explanation

Simple Explanation

(220-12x=76+4x) से (144=16x) और (x=9) है। वृद्धि और क्षय मॉडल को बराबर करें। / From (220-12x=76+4x), (144=16x) and (x=9). Equate the growth and decay models.

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Question 33/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

किस (k) के लिए (y=55+(k-7)x) रेखीय वृद्धि दिखाएगा?

For which (k) will (y=55+(k-7)x) show linear growth?

Explanation opens after your attempt
Correct Answer

C. (k>7)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-7>0) से (k>7) मिलता है। / For linear growth the coefficient of (x) must be positive. From (k-7>0), (k>7).

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Question 34/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

किस (k) के लिए (y=260-(k-4)x) रेखीय क्षय दिखाएगा?

For which (k) will (y=260-(k-4)x) show linear decay?

Explanation opens after your attempt
Correct Answer

A. (k>4)

Explanation

Simple Explanation

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-4)<0) से (k>4) मिलता है। / For decay the effective coefficient must be negative. From (-(k-4)<0), (k>4).

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Question 35/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (R(x)=90+mx) और (R(11)-R(5)=78), तो (R(0)) क्या है?

If (R(x)=90+mx) and (R(11)-R(5)=78), what is (R(0))?

Explanation opens after your attempt
Correct Answer

C. (90)

Explanation

Simple Explanation

यहां (R(0)=90) सीधे आरंभिक मान है। अंतर से (m=13) मिलता है पर आरंभिक मान वही रहता है। / Here (R(0)=90) is directly the initial value. The difference gives (m=13), but the initial value remains the same.

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Question 36/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (S(x)=s-9x) और (S(4)-S(12)=72), तो कौन सा निष्कर्ष सही है?

If (S(x)=s-9x) and (S(4)-S(12)=72), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. हर (s) के लिए शर्त सही हैThe condition is true for every (s)

Explanation

Simple Explanation

(S(4)-S(12)=(s-36)-(s-108)=72) है। इसलिए (s) कोई भी हो सकता है। / (S(4)-S(12)=(s-36)-(s-108)=72). Therefore (s) can be any value.

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Question 37/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (A(t)=44+6t) और (B(t)=70+11t), तो (B(t)-A(t)) किस प्रकार बदलता है?

If (A(t)=44+6t) and (B(t)=70+11t), how does (B(t)-A(t)) change?

Explanation opens after your attempt
Correct Answer

A. हर चरण (5) बढ़ता हैIt increases by (5) each step

Explanation

Simple Explanation

(B(t)-A(t)=26+5t) है। इसका गुणांक (5) है इसलिए अंतर बढ़ता है। / (B(t)-A(t)=26+5t). Its coefficient is (5), so the difference increases.

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Question 38/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (C(t)=260-8t) और (D(t)=180-15t), तो (C(t)-D(t)) किस प्रकार बदलता है?

If (C(t)=260-8t) and (D(t)=180-15t), how does (C(t)-D(t)) change?

Explanation opens after your attempt
Correct Answer

A. हर चरण (7) बढ़ता हैIt increases by (7) each step

Explanation

Simple Explanation

(C(t)-D(t)=80+7t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है। / (C(t)-D(t)=80+7t). Therefore the difference of the two decay models increases.

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Question 39/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (y=64+16x), तो (x) में कितनी वृद्धि करने पर (y) (112) बढ़ेगा?

If (y=64+16x), by how much must (x) increase for (y) to increase by (112)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

कुल वृद्धि \(16\Delta x\) होगी। \(16\Delta x=112\) से \(\Delta x=7\) मिलता है। / The total increase is \(16\Delta x\). From \(16\Delta x=112\), \(\Delta x=7\).

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Question 40/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (y=330-22x), तो (y) में (154) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=330-22x), by how much should (x) increase for (y) to decrease by (154)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

कुल कमी \(22\Delta x\) होगी। \(22\Delta x=154\) से \(\Delta x=7\) मिलता है। / The total decrease is \(22\Delta x\). From \(22\Delta x=154\), \(\Delta x=7\).

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Question 41/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (f(x)=9x+28), तो (f(3x)-f(x)) कब (108) होगा?

If (f(x)=9x+28), when will (f(3x)-f(x)) be (108)?

Explanation opens after your attempt
Correct Answer

B. (x=6)

Explanation

Simple Explanation

(f(3x)-f(x)=(27x+28)-(9x+28)=18x) है। (18x=108) से (x=6) है। / (f(3x)-f(x)=(27x+28)-(9x+28)=18x). From (18x=108), (x=6).

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Question 42/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (g(x)=240-12x), तो (g(x)-g(4x)) कब (144) होगा?

If (g(x)=240-12x), when will (g(x)-g(4x)) be (144)?

Explanation opens after your attempt
Correct Answer

B. (x=4)

Explanation

Simple Explanation

(g(x)-g(4x)=(240-12x)-(240-48x)=36x) है। (36x=144) से (x=4) है। / (g(x)-g(4x)=(240-12x)-(240-48x)=36x). From (36x=144), (x=4).

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Question 43/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (P(t)=60+5t), तो (P(5)+P(15)) किस एक (P(k)) के दोगुने के बराबर है?

If (P(t)=60+5t), (P(5)+P(15)) is equal to twice which (P(k))?

Explanation opens after your attempt
Correct Answer

C. (P(10))

Explanation

Simple Explanation

रेखीय मॉडल में (5) और (15) का मध्य (10) है। इसलिए (P(5)+P(15)=2P(10)) होता है। / In a linear model the midpoint of (5) and (15) is (10). Therefore (P(5)+P(15)=2P(10)).

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Question 44/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (Q(t)=250-10t), तो (Q(4)+Q(16)) किस एक (Q(k)) के दोगुने के बराबर है?

If (Q(t)=250-10t), (Q(4)+Q(16)) is equal to twice which (Q(k))?

Explanation opens after your attempt
Correct Answer

B. (Q(10))

Explanation

Simple Explanation

रेखीय मॉडल में (4) और (16) का मध्य (10) है। इसलिए (Q(4)+Q(16)=2Q(10)) होता है। / In a linear model the midpoint of (4) and (16) is (10). Therefore (Q(4)+Q(16)=2Q(10)).

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Question 45/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (y=150+ax) में (x=7) से (x=15) तक (y) (104) बढ़ता है, तो (a) क्या है?

If in (y=150+ax), (y) increases by (104) from (x=7) to (x=15), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। (8a=104) से (a=13) मिलता है। / The change in (x) is (8). From (8a=104), (a=13).

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Question 46/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (y=300-bx) में (x=6) से (x=14) तक (y) (120) घटता है, तो (b) क्या है?

If in (y=300-bx), (y) decreases by (120) from (x=6) to (x=14), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। कुल कमी (8b=120) है इसलिए (b=15) है। / The change in (x) is (8). The total decrease is (8b=120), so (b=15).

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Question 47/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (A(t)=40+6t) और (B(t)=76+3t), तो किस (t) पर (A(t)) (B(t)) से (9) अधिक होगा?

If (A(t)=40+6t) and (B(t)=76+3t), at what (t) will (A(t)) be (9) more than (B(t))?

Explanation opens after your attempt
Correct Answer

D. (t=15)

Explanation

Simple Explanation

शर्त (40+6t=76+3t+9) है। इससे (3t=45) और (t=15) मिलता है। / The condition is (40+6t=76+3t+9). This gives (3t=45) and (t=15).

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Question 48/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (C(t)=260-9t) और (D(t)=80+5t), तो किस (t) पर (C(t)) (D(t)) से (12) कम होगा?

If (C(t)=260-9t) and (D(t)=80+5t), at what (t) will (C(t)) be (12) less than (D(t))?

Explanation opens after your attempt
Correct Answer

A. (t=12)

Explanation

Simple Explanation

शर्त (260-9t=80+5t-12) है। इससे (192=16t) और (t=12) मिलता है। / The condition is (260-9t=80+5t-12). This gives (192=16t) and (t=12).

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Question 49/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (f(t)=a+7t) और (f(2), f(6), f(10)) का योग (225) है, तो (a) क्या है?

If (f(t)=a+7t) and the sum of (f(2), f(6), f(10)) is (225), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (41)

Explanation

Simple Explanation

योग ((a+14)+(a+42)+(a+70)=3a+126) है। (3a+126=225) से (a=33) नहीं बल्कि विकल्पों में नहीं है। / The sum is ((a+14)+(a+42)+(a+70)=3a+126). From (3a+126=225), (a=33), which is not in the options.

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Question 50/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 35

यदि (g(t)=b-6t) और (g(3), g(7), g(11)) का योग (234) है, तो (b) क्या है?

If (g(t)=b-6t) and the sum of (g(3), g(7), g(11)) is (234), what is (b)?

Explanation opens after your attempt
Correct Answer

D. (108)

Explanation

Simple Explanation

योग ((b-18)+(b-42)+(b-66)=3b-126) है। (3b-126=234) से (b=120) आता है इसलिए विकल्पों में कोई नहीं है। / The sum is ((b-18)+(b-42)+(b-66)=3b-126). From (3b-126=234), (b=120), so none of the options is correct.

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Question 51/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किसी पौधे की ऊंचाई (t=2) पर (31) सेमी और (t=7) पर (76) सेमी है। यदि वृद्धि रेखीय है तो सही मॉडल क्या होगा?

A plant's height is (31) cm at (t=2) and (76) cm at (t=7). If the growth is linear then what is the correct model?

Explanation opens after your attempt
Correct Answer

A. (H(t)=13+9t)

Explanation

Simple Explanation

दर \(\frac{76-31}{7-2}=9\) है। (31=a+9(2)) से (a=13) मिलता है। / The rate is \(\frac{76-31}{7-2}=9\). From (31=a+9(2)), (a=13).

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Question 52/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक टंकी में (t=3) पर (186) लीटर और (t=9) पर (114) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

A tank has (186) litres at (t=3) and (114) litres at (t=9). What is the linear decay model?

Explanation opens after your attempt
Correct Answer

B. (W(t)=222-12t)

Explanation

Simple Explanation

दर \(\frac{114-186}{9-3}=-12\) है। (186=a-12(3)) से (a=222) मिलता है। / The rate is \(\frac{114-186}{9-3}=-12\). From (186=a-12(3)), (a=222).

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Question 53/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

दो मॉडल (A(t)=48+11t) और (B(t)=168-4t) कब बराबर होंगे?

When will the two models (A(t)=48+11t) and (B(t)=168-4t) be equal?

Explanation opens after your attempt
Correct Answer

C. (t=8)

Explanation

Simple Explanation

बराबरी के लिए (48+11t=168-4t) रखें। इससे (15t=120) और (t=8) मिलता है। / For equality set (48+11t=168-4t). This gives (15t=120) and (t=8).

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Question 54/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (P(t)=70+5t) और (Q(t)=190-10t) है तो किस (t) पर (P(t)=Q(t)) होगा?

If (P(t)=70+5t) and (Q(t)=190-10t), at which (t) will (P(t)=Q(t))?

Explanation opens after your attempt
Correct Answer

B. (t=8)

Explanation

Simple Explanation

(70+5t=190-10t) से (15t=120) होता है। इसलिए (t=8) सही है। / From (70+5t=190-10t), (15t=120). Therefore (t=8) is correct.

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Question 55/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (f(x)=a+13x) और (f(3)=82), तो (f(9)) क्या होगा?

If (f(x)=a+13x) and (f(3)=82), what will (f(9)) be?

Explanation opens after your attempt
Correct Answer

D. (160)

Explanation

Simple Explanation

(a+39=82) से (a=43) मिलता है। फिर (f(9)=43+117=160) है। / From (a+39=82), (a=43). Then (f(9)=43+117=160).

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Question 56/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (g(x)=b-14x) और (g(4)=120), तो (g(11)) क्या होगा?

If (g(x)=b-14x) and (g(4)=120), what will (g(11)) be?

Explanation opens after your attempt
Correct Answer

A. (22)

Explanation

Simple Explanation

(b-56=120) से (b=176) है। इसलिए (g(11)=176-154=22) है। / From (b-56=120), (b=176). Therefore (g(11)=176-154=22).

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Question 57/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=35+4.75x), तो (x=2) से (x=10) तक (y) में कुल वृद्धि कितनी होगी?

If (y=35+4.75x), what is the total increase in (y) from (x=2) to (x=10)?

Explanation opens after your attempt
Correct Answer

C. (38)

Explanation

Simple Explanation

(x) में परिवर्तन (10-2=8) है। कुल वृद्धि \(4.75\times8=38\) है। / The change in (x) is (10-2=8). The total increase is \(4.75\times8=38\).

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Question 58/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=160-6.25x), तो (x=5) से (x=13) तक (y) में कुल कमी कितनी होगी?

If (y=160-6.25x), what is the total decrease in (y) from (x=5) to (x=13)?

Explanation opens after your attempt
Correct Answer

B. (50)

Explanation

Simple Explanation

(x) में परिवर्तन (13-5=8) है। कुल कमी \(6.25\times8=50\) है। / The change in (x) is (13-5=8). The total decrease is \(6.25\times8=50\).

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Question 59/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक राशि (x=5) पर (74) और (x=12) पर (158) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?

A quantity is (74) at (x=5) and (158) at (x=12). If the growth is linear then what is the increase per step?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

प्रति चरण वृद्धि \(\frac{158-74}{12-5}=12\) है। रेखीय मॉडल में दर स्थिर रहती है। / The increase per step is \(\frac{158-74}{12-5}=12\). In a linear model the rate remains constant.

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Question 60/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक मात्रा (x=4) पर (232) और (x=13) पर (106) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?

A quantity is (232) at (x=4) and (106) at (x=13). If the change is linear decay then what is the decrease per step?

Explanation opens after your attempt
Correct Answer

B. (14)

Explanation

Simple Explanation

कुल कमी (232-106=126) और चरण (9) हैं। प्रति चरण कमी \(\frac{126}{9}=14\) है। / The total decrease is (232-106=126) and there are (9) steps. The decrease per step is \(\frac{126}{9}=14\).

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Question 61/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (C(t)=42+kt) और (C(11)-C(5)=84), तो (k) क्या है?

If (C(t)=42+kt) and (C(11)-C(5)=84), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (14)

Explanation

Simple Explanation

(C(11)-C(5)=k(11-5)=6k) है। (6k=84) से (k=14) मिलता है। / (C(11)-C(5)=k(11-5)=6k). From (6k=84), (k=14).

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Question 62/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (D(t)=300-kt) और (D(4)-D(12)=104), तो (k) क्या है?

If (D(t)=300-kt) and (D(4)-D(12)=104), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

(D(4)-D(12)=k(12-4)=8k) है। (8k=104) से (k=13) मिलता है। / (D(4)-D(12)=k(12-4)=8k). From (8k=104), (k=13).

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Question 63/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (A(x)=45+8x), तो (A(x+6)-A(x-2)) का मान क्या है?

If (A(x)=45+8x), what is the value of (A(x+6)-A(x-2))?

Explanation opens after your attempt
Correct Answer

C. (64)

Explanation

Simple Explanation

चर में अंतर ((x+6)-(x-2)=8) है। दर (8) होने से अंतर (64) है। / The variable difference is ((x+6)-(x-2)=8). With rate (8), the difference is (64).

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Question 64/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (B(x)=320-12x), तो (B(x-5)-B(x+1)) का मान क्या है?

If (B(x)=320-12x), what is the value of (B(x-5)-B(x+1))?

Explanation opens after your attempt
Correct Answer

C. (72)

Explanation

Simple Explanation

((x+1)-(x-5)=6) चरणों में मान \(12\times6=72\) घटता है। इसलिए अंतर (72) है। / Over ((x+1)-(x-5)=6) steps the value decreases by \(12\times6=72\). So the difference is (72).

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Question 65/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

मॉडल (P(t)=p+14t) में (P(3)=96) और (P(s)=180) है। (s) क्या है?

In the model (P(t)=p+14t), (P(3)=96) and (P(s)=180). What is (s)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

(P(3)=96) से (p=54) है। (54+14s=180) से (s=9) मिलता है। / From (P(3)=96), (p=54). From (54+14s=180), (s=9).

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Question 66/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

मॉडल (R(t)=r-15t) में (R(4)=128) और (R(s)=38) है। (s) क्या है?

In the model (R(t)=r-15t), (R(4)=128) and (R(s)=38). What is (s)?

Explanation opens after your attempt
Correct Answer

A. (10)

Explanation

Simple Explanation

(R(4)=128) से (r=188) है। (188-15s=38) से (s=10) मिलता है। / From (R(4)=128), (r=188). From (188-15s=38), (s=10).

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Question 67/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किस विकल्प में (y) (x) के बढ़ने पर (11) प्रति चरण बढ़ता है और (y(5)=82) है?

Which option makes (y) increase by (11) per step and has (y(5)=82)?

Explanation opens after your attempt
Correct Answer

A. (y=27+11x)

Explanation

Simple Explanation

दर (11) है और (a+11(5)=82) से (a=27) मिलता है। इसलिए (y=27+11x) सही है। / The rate is (11), and (a+11(5)=82) gives (a=27). So (y=27+11x) is correct.

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Question 68/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किस विकल्प में (y) (x) के बढ़ने पर (13) प्रति चरण घटता है और (y(6)=71) है?

Which option makes (y) decrease by (13) per step and has (y(6)=71)?

Explanation opens after your attempt
Correct Answer

B. (y=149-13x)

Explanation

Simple Explanation

दर (-13) है और (a-13(6)=71) से (a=149) मिलता है। इसलिए (y=149-13x) सही है। / The rate is (-13), and (a-13(6)=71) gives (a=149). So (y=149-13x) is correct.

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Question 69/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (M(t)=80+7t) और (N(t)=170-5t), तो (M(t)) कब (N(t)) से (18) अधिक होगा?

If (M(t)=80+7t) and (N(t)=170-5t), when will (M(t)) be (18) more than (N(t))?

Explanation opens after your attempt
Correct Answer

B. (t=9)

Explanation

Simple Explanation

शर्त (M(t)=N(t)+18) है। (80+7t=188-5t) से (12t=108) और (t=9) मिलता है। / The condition is (M(t)=N(t)+18). From (80+7t=188-5t), (12t=108) and (t=9).

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Question 70/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (A(t)=240-11t) और (B(t)=60+4t), तो (A(t)) कब (B(t)) से (15) अधिक होगा?

If (A(t)=240-11t) and (B(t)=60+4t), when will (A(t)) be (15) more than (B(t))?

Explanation opens after your attempt
Correct Answer

C. (t=11)

Explanation

Simple Explanation

शर्त (240-11t=60+4t+15) है। इससे (165=15t) और (t=11) मिलता है। / The condition is (240-11t=60+4t+15). This gives (165=15t) and (t=11).

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Question 71/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (F(t)=65+rt) और (F(4)=F(12)-96), तो (r) क्या है?

If (F(t)=65+rt) and (F(4)=F(12)-96), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(F(12)-F(4)=8r) है। (8r=96) से (r=12) मिलता है। / (F(12)-F(4)=8r). From (8r=96), (r=12).

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Question 72/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (G(t)=260-rt) और (G(3)=G(11)+104), तो (r) क्या है?

If (G(t)=260-rt) and (G(3)=G(11)+104), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

(G(3)-G(11)=8r) है। (8r=104) से (r=13) मिलता है। / (G(3)-G(11)=8r). From (8r=104), (r=13).

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Question 73/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक वस्तु की कीमत (P(n)=a+25n) है। यदि (P(4)=210), तो (P(12)) क्या है?

The price of an item is (P(n)=a+25n). If (P(4)=210), what is (P(12))?

Explanation opens after your attempt
Correct Answer

C. (410)

Explanation

Simple Explanation

(a+100=210) से (a=110) है। (P(12)=110+300=410) है। / From (a+100=210), (a=110). (P(12)=110+300=410).

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Question 74/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक मशीन का मूल्य (V(y)=c-3200y) है। यदि (V(5)=44000), तो (V(11)) क्या होगा?

A machine's value is (V(y)=c-3200y). If (V(5)=44000), what will (V(11)) be?

Explanation opens after your attempt
Correct Answer

A. (24800)

Explanation

Simple Explanation

(c-16000=44000) से (c=60000) है। (V(11)=60000-35200=24800) है। / From (c-16000=44000), (c=60000). (V(11)=60000-35200=24800).

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Question 75/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=42+7x), तो (x) का कौन सा मान (y) को (13x) के बराबर बनाता है?

If (y=42+7x), which value of (x) makes (y) equal to (13x)?

Explanation opens after your attempt
Correct Answer

C. (x=7)

Explanation

Simple Explanation

शर्त (42+7x=13x) है। इससे (42=6x) और (x=7) मिलता है। / The condition is (42+7x=13x). This gives (42=6x) and (x=7).

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Question 76/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=210-12x), तो (x) का कौन सा मान (y) को (3x) के बराबर बनाता है?

If (y=210-12x), which value of (x) makes (y) equal to (3x)?

Explanation opens after your attempt
Correct Answer

B. (x=14)

Explanation

Simple Explanation

शर्त (210-12x=3x) है। इससे (210=15x) और (x=14) मिलता है। / The condition is (210-12x=3x). This gives (210=15x) and (x=14).

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Question 77/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (L(t)=6t+31), तो (L(5t)-L(2t)) क्या है?

If (L(t)=6t+31), what is (L(5t)-L(2t))?

Explanation opens after your attempt
Correct Answer

C. (18t)

Explanation

Simple Explanation

(L(5t)=30t+31) और (L(2t)=12t+31) है। अंतर (18t) है। / (L(5t)=30t+31) and (L(2t)=12t+31). The difference is (18t).

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Question 78/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (K(t)=280-8t), तो (K(2t)-K(6t)) क्या है?

If (K(t)=280-8t), what is (K(2t)-K(6t))?

Explanation opens after your attempt
Correct Answer

C. (32t)

Explanation

Simple Explanation

(K(2t)=280-16t) और (K(6t)=280-48t) है। अंतर (32t) है। / (K(2t)=280-16t) and (K(6t)=280-48t). The difference is (32t).

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Question 79/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (Y(x)=a+9x) रेखीय वृद्धि है और (Y(4)+Y(10)=218), तो (a) क्या है?

If (Y(x)=a+9x) is linear growth and (Y(4)+Y(10)=218), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (46)

Explanation

Simple Explanation

(Y(4)+Y(10)=(a+36)+(a+90)=2a+126) है। (2a+126=218) से (a=46) मिलता है। / (Y(4)+Y(10)=(a+36)+(a+90)=2a+126). From (2a+126=218), (a=46).

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Question 80/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (Z(x)=b-12x) रेखीय क्षय है और (Z(3)+Z(8)=148), तो (b) क्या है?

If (Z(x)=b-12x) is linear decay and (Z(3)+Z(8)=148), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (140)

Explanation

Simple Explanation

(Z(3)+Z(8)=(b-36)+(b-96)=2b-132) है। (2b-132=148) से (b=140) मिलता है। / (Z(3)+Z(8)=(b-36)+(b-96)=2b-132). From (2b-132=148), (b=140).

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Question 81/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (p(x)=44+8x) और (q(x)=12x-8), तो (p(x)) और (q(x)) कब बराबर होंगे?

If (p(x)=44+8x) and (q(x)=12x-8), when will (p(x)) and (q(x)) be equal?

Explanation opens after your attempt
Correct Answer

C. (x=13)

Explanation

Simple Explanation

(44+8x=12x-8) रखने पर (52=4x) मिलता है। इसलिए (x=13) है। / Setting (44+8x=12x-8) gives (52=4x). Therefore (x=13).

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Question 82/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (p(x)=260-15x) और (q(x)=68+3x), तो (p(x)=q(x)) के लिए (x) क्या है?

If (p(x)=260-15x) and (q(x)=68+3x), what is (x) for (p(x)=q(x))?

Explanation opens after your attempt
Correct Answer

D. (x=12)

Explanation

Simple Explanation

(260-15x=68+3x) से (192=18x) नहीं बल्कि \(x=\frac{32}{3}\) मिलता है। दिए गए विकल्पों में (x=12) रखने पर बराबरी नहीं होती। / From (260-15x=68+3x), (192=18x), so \(x=\frac{32}{3}\). None of the given options is valid.

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Question 83/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किस (k) के लिए (y=72+(k-9)x) रेखीय वृद्धि दिखाएगा?

For which (k) will (y=72+(k-9)x) show linear growth?

Explanation opens after your attempt
Correct Answer

C. (k>9)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-9>0) से (k>9) मिलता है। / For linear growth the coefficient of (x) must be positive. From (k-9>0), (k>9).

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Question 84/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किस (k) के लिए (y=320-(k-6)x) रेखीय क्षय दिखाएगा?

For which (k) will (y=320-(k-6)x) show linear decay?

Explanation opens after your attempt
Correct Answer

A. (k>6)

Explanation

Simple Explanation

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-6)<0) से (k>6) मिलता है। / For decay the effective coefficient must be negative. From (-(k-6)<0), (k>6).

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Question 85/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (R(x)=110+mx) और (R(12)-R(6)=90), तो (R(0)) क्या है?

If (R(x)=110+mx) and (R(12)-R(6)=90), what is (R(0))?

Explanation opens after your attempt
Correct Answer

C. (110)

Explanation

Simple Explanation

यहां (R(0)=110) सीधे आरंभिक मान है। अंतर से (m=15) मिलता है पर आरंभिक मान वही रहता है। / Here (R(0)=110) is directly the initial value. The difference gives (m=15), but the initial value remains the same.

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Question 86/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (S(x)=s-11x) और (S(5)-S(13)=88), तो कौन सा निष्कर्ष सही है?

If (S(x)=s-11x) and (S(5)-S(13)=88), which conclusion is correct?

Explanation opens after your attempt
Correct Answer

A. हर (s) के लिए शर्त सही हैThe condition is true for every (s)

Explanation

Simple Explanation

(S(5)-S(13)=(s-55)-(s-143)=88) है। इसलिए (s) कोई भी हो सकता है। / (S(5)-S(13)=(s-55)-(s-143)=88). Therefore (s) can be any value.

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Question 87/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (A(t)=58+7t) और (B(t)=91+13t), तो (B(t)-A(t)) किस प्रकार बदलता है?

If (A(t)=58+7t) and (B(t)=91+13t), how does (B(t)-A(t)) change?

Explanation opens after your attempt
Correct Answer

A. हर चरण (6) बढ़ता हैIt increases by (6) each step

Explanation

Simple Explanation

(B(t)-A(t)=33+6t) है। इसका गुणांक (6) है इसलिए अंतर बढ़ता है। / (B(t)-A(t)=33+6t). Its coefficient is (6), so the difference increases.

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Question 88/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (C(t)=330-9t) और (D(t)=230-18t), तो (C(t)-D(t)) किस प्रकार बदलता है?

If (C(t)=330-9t) and (D(t)=230-18t), how does (C(t)-D(t)) change?

Explanation opens after your attempt
Correct Answer

A. हर चरण (9) बढ़ता हैIt increases by (9) each step

Explanation

Simple Explanation

(C(t)-D(t)=100+9t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है। / (C(t)-D(t)=100+9t). Therefore the difference of the two decay models increases.

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Question 89/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=80+20x), तो (x) में कितनी वृद्धि करने पर (y) (160) बढ़ेगा?

If (y=80+20x), by how much must (x) increase for (y) to increase by (160)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

कुल वृद्धि \(20\Delta x\) होगी। \(20\Delta x=160\) से \(\Delta x=8\) मिलता है। / The total increase is \(20\Delta x\). From \(20\Delta x=160\), \(\Delta x=8\).

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Question 90/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=400-25x), तो (y) में (175) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=400-25x), by how much should (x) increase for (y) to decrease by (175)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

कुल कमी \(25\Delta x\) होगी। \(25\Delta x=175\) से \(\Delta x=7\) मिलता है। / The total decrease is \(25\Delta x\). From \(25\Delta x=175\), \(\Delta x=7\).

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Question 91/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (f(x)=10x+35), तो (f(4x)-f(x)) कब (150) होगा?

If (f(x)=10x+35), when will (f(4x)-f(x)) be (150)?

Explanation opens after your attempt
Correct Answer

B. (x=5)

Explanation

Simple Explanation

(f(4x)-f(x)=(40x+35)-(10x+35)=30x) है। (30x=150) से (x=5) है। / (f(4x)-f(x)=(40x+35)-(10x+35)=30x). From (30x=150), (x=5).

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Question 92/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (g(x)=300-15x), तो (g(x)-g(5x)) कब (180) होगा?

If (g(x)=300-15x), when will (g(x)-g(5x)) be (180)?

Explanation opens after your attempt
Correct Answer

B. (x=3)

Explanation

Simple Explanation

(g(x)-g(5x)=(300-15x)-(300-75x)=60x) है। (60x=180) से (x=3) है। / (g(x)-g(5x)=(300-15x)-(300-75x)=60x). From (60x=180), (x=3).

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Question 93/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (P(t)=75+6t), तो (P(6)+P(18)) किस एक (P(k)) के दोगुने के बराबर है?

If (P(t)=75+6t), (P(6)+P(18)) is equal to twice which (P(k))?

Explanation opens after your attempt
Correct Answer

C. (P(12))

Explanation

Simple Explanation

रेखीय मॉडल में (6) और (18) का मध्य (12) है। इसलिए (P(6)+P(18)=2P(12)) होता है। / In a linear model the midpoint of (6) and (18) is (12). Therefore (P(6)+P(18)=2P(12)).

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Question 94/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (Q(t)=320-8t), तो (Q(5)+Q(17)) किस एक (Q(k)) के दोगुने के बराबर है?

If (Q(t)=320-8t), (Q(5)+Q(17)) is equal to twice which (Q(k))?

Explanation opens after your attempt
Correct Answer

C. (Q(11))

Explanation

Simple Explanation

रेखीय मॉडल में (5) और (17) का मध्य (11) है। इसलिए (Q(5)+Q(17)=2Q(11)) होता है। / In a linear model the midpoint of (5) and (17) is (11). Therefore (Q(5)+Q(17)=2Q(11)).

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Question 95/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=180+ax) में (x=8) से (x=16) तक (y) (120) बढ़ता है, तो (a) क्या है?

If in (y=180+ax), (y) increases by (120) from (x=8) to (x=16), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। (8a=120) से (a=15) मिलता है। / The change in (x) is (8). From (8a=120), (a=15).

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Question 96/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=360-bx) में (x=7) से (x=15) तक (y) (136) घटता है, तो (b) क्या है?

If in (y=360-bx), (y) decreases by (136) from (x=7) to (x=15), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (17)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। कुल कमी (8b=136) है इसलिए (b=17) है। / The change in (x) is (8). The total decrease is (8b=136), so (b=17).

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Question 97/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (A(t)=50+7t) और (B(t)=92+4t), तो किस (t) पर (A(t)) (B(t)) से (6) अधिक होगा?

If (A(t)=50+7t) and (B(t)=92+4t), at what (t) will (A(t)) be (6) more than (B(t))?

Explanation opens after your attempt
Correct Answer

C. (t=16)

Explanation

Simple Explanation

शर्त (50+7t=92+4t+6) है। इससे (3t=48) और (t=16) मिलता है। / The condition is (50+7t=92+4t+6). This gives (3t=48) and (t=16).

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Question 98/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (C(t)=310-12t) और (D(t)=70+6t), तो किस (t) पर (C(t)) (D(t)) से (6) कम होगा?

If (C(t)=310-12t) and (D(t)=70+6t), at what (t) will (C(t)) be (6) less than (D(t))?

Explanation opens after your attempt
Correct Answer

C. (t=14)

Explanation

Simple Explanation

शर्त (310-12t=70+6t-6) है। इससे (246=18t) नहीं बल्कि \(t=\frac{41}{3}\) मिलता है इसलिए कोई विकल्प सही नहीं है। / The condition is (310-12t=70+6t-6). This gives (246=18t), so \(t=\frac{41}{3}\), and none of the options is correct.

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Question 99/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (f(t)=a+8t) और (f(2), f(6), f(10)) का योग (252) है, तो (a) क्या है?

If (f(t)=a+8t) and the sum of (f(2), f(6), f(10)) is (252), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (40)

Explanation

Simple Explanation

योग ((a+16)+(a+48)+(a+80)=3a+144) है। (3a+144=252) से (a=36) मिलता है जो विकल्पों में नहीं है। / The sum is ((a+16)+(a+48)+(a+80)=3a+144). From (3a+144=252), (a=36), which is not in the options.

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Question 100/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (g(t)=b-7t) और (g(4), g(8), g(12)) का योग (258) है, तो (b) क्या है?

If (g(t)=b-7t) and the sum of (g(4), g(8), g(12)) is (258), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (142)

Explanation

Simple Explanation

योग ((b-28)+(b-56)+(b-84)=3b-168) है। (3b-168=258) से (b=142) है। / The sum is ((b-28)+(b-56)+(b-84)=3b-168). From (3b-168=258), (b=142).

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Question 101/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किसी पौधे की ऊंचाई (t=3) पर (47) सेमी और (t=9) पर (119) सेमी है। यदि वृद्धि रेखीय है तो सही मॉडल क्या होगा?

A plant's height is (47) cm at (t=3) and (119) cm at (t=9). If the growth is linear then what is the correct model?

Explanation opens after your attempt
Correct Answer

A. (H(t)=11+12t)

Explanation

Simple Explanation

दर \(\frac{119-47}{9-3}=12\) है। (47=a+12(3)) से (a=11) मिलता है। / The rate is \(\frac{119-47}{9-3}=12\). From (47=a+12(3)), (a=11).

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Question 102/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक टंकी में (t=2) पर (218) लीटर और (t=10) पर (122) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

A tank has (218) litres at (t=2) and (122) litres at (t=10). What is the linear decay model?

Explanation opens after your attempt
Correct Answer

B. (W(t)=242-12t)

Explanation

Simple Explanation

दर \(\frac{122-218}{10-2}=-12\) है। (218=a-12(2)) से (a=242) मिलता है। / The rate is \(\frac{122-218}{10-2}=-12\). From (218=a-12(2)), (a=242).

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Question 103/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

दो मॉडल (A(t)=64+9t) और (B(t)=184-6t) कब बराबर होंगे?

When will the two models (A(t)=64+9t) and (B(t)=184-6t) be equal?

Explanation opens after your attempt
Correct Answer

C. (t=8)

Explanation

Simple Explanation

बराबरी के लिए (64+9t=184-6t) रखें। इससे (15t=120) और (t=8) मिलता है। / For equality set (64+9t=184-6t). This gives (15t=120) and (t=8).

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Question 104/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (P(t)=75+8t) और (Q(t)=219-10t) है तो किस (t) पर (P(t)=Q(t)) होगा?

If (P(t)=75+8t) and (Q(t)=219-10t), at which (t) will (P(t)=Q(t))?

Explanation opens after your attempt
Correct Answer

B. (t=8)

Explanation

Simple Explanation

(75+8t=219-10t) से (18t=144) होता है। इसलिए (t=8) सही है। / From (75+8t=219-10t), (18t=144). Therefore (t=8) is correct.

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Question 105/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (f(x)=a+15x) और (f(4)=112), तो (f(11)) क्या होगा?

If (f(x)=a+15x) and (f(4)=112), what will (f(11)) be?

Explanation opens after your attempt
Correct Answer

B. (217)

Explanation

Simple Explanation

(a+60=112) से (a=52) मिलता है। फिर (f(11)=52+165=217) है। / From (a+60=112), (a=52). Then (f(11)=52+165=217).

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Question 106/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (g(x)=b-13x) और (g(5)=116), तो (g(12)) क्या होगा?

If (g(x)=b-13x) and (g(5)=116), what will (g(12)) be?

Explanation opens after your attempt
Correct Answer

A. (25)

Explanation

Simple Explanation

(b-65=116) से (b=181) है। इसलिए (g(12)=181-156=25) है। / From (b-65=116), (b=181). Therefore (g(12)=181-156=25).

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Question 107/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=28+5.25x), तो (x=4) से (x=12) तक (y) में कुल वृद्धि कितनी होगी?

If (y=28+5.25x), what is the total increase in (y) from (x=4) to (x=12)?

Explanation opens after your attempt
Correct Answer

C. (42)

Explanation

Simple Explanation

(x) में परिवर्तन (12-4=8) है। कुल वृद्धि \(5.25\times8=42\) है। / The change in (x) is (12-4=8). The total increase is \(5.25\times8=42\).

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Question 108/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=190-7.5x), तो (x=3) से (x=11) तक (y) में कुल कमी कितनी होगी?

If (y=190-7.5x), what is the total decrease in (y) from (x=3) to (x=11)?

Explanation opens after your attempt
Correct Answer

C. (60)

Explanation

Simple Explanation

(x) में परिवर्तन (11-3=8) है। कुल कमी \(7.5\times8=60\) है। / The change in (x) is (11-3=8). The total decrease is \(7.5\times8=60\).

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Question 109/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक राशि (x=6) पर (91) और (x=13) पर (189) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?

A quantity is (91) at (x=6) and (189) at (x=13). If the growth is linear then what is the increase per step?

Explanation opens after your attempt
Correct Answer

C. (14)

Explanation

Simple Explanation

प्रति चरण वृद्धि \(\frac{189-91}{13-6}=14\) है। रेखीय मॉडल में दर स्थिर रहती है। / The increase per step is \(\frac{189-91}{13-6}=14\). In a linear model the rate remains constant.

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Question 110/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक मात्रा (x=5) पर (265) और (x=14) पर (130) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?

A quantity is (265) at (x=5) and (130) at (x=14). If the change is linear decay then what is the decrease per step?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

कुल कमी (265-130=135) और चरण (9) हैं। प्रति चरण कमी \(\frac{135}{9}=15\) है। / The total decrease is (265-130=135) and there are (9) steps. The decrease per step is \(\frac{135}{9}=15\).

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Question 111/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (C(t)=55+kt) और (C(12)-C(5)=105), तो (k) क्या है?

If (C(t)=55+kt) and (C(12)-C(5)=105), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (15)

Explanation

Simple Explanation

(C(12)-C(5)=k(12-5)=7k) है। (7k=105) से (k=15) मिलता है। / (C(12)-C(5)=k(12-5)=7k). From (7k=105), (k=15).

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Question 112/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (D(t)=340-kt) और (D(6)-D(14)=128), तो (k) क्या है?

If (D(t)=340-kt) and (D(6)-D(14)=128), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

(D(6)-D(14)=k(14-6)=8k) है। (8k=128) से (k=16) मिलता है। / (D(6)-D(14)=k(14-6)=8k). From (8k=128), (k=16).

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Question 113/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (A(x)=52+9x), तो (A(x+7)-A(x-2)) का मान क्या है?

If (A(x)=52+9x), what is the value of (A(x+7)-A(x-2))?

Explanation opens after your attempt
Correct Answer

C. (81)

Explanation

Simple Explanation

चर में अंतर ((x+7)-(x-2)=9) है। दर (9) होने से अंतर (81) है। / The variable difference is ((x+7)-(x-2)=9). With rate (9), the difference is (81).

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Question 114/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (B(x)=360-14x), तो (B(x-3)-B(x+4)) का मान क्या है?

If (B(x)=360-14x), what is the value of (B(x-3)-B(x+4))?

Explanation opens after your attempt
Correct Answer

C. (98)

Explanation

Simple Explanation

((x+4)-(x-3)=7) चरणों में मान \(14\times7=98\) घटता है। इसलिए अंतर (98) है। / Over ((x+4)-(x-3)=7) steps the value decreases by \(14\times7=98\). So the difference is (98).

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Question 115/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

मॉडल (P(t)=p+16t) में (P(4)=125) और (P(s)=221) है। (s) क्या है?

In the model (P(t)=p+16t), (P(4)=125) and (P(s)=221). What is (s)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

(P(4)=125) से (p=61) है। (61+16s=221) से (s=10) मिलता है। / From (P(4)=125), (p=61). From (61+16s=221), (s=10).

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Question 116/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

मॉडल (R(t)=r-18t) में (R(3)=166) और (R(s)=40) है। (s) क्या है?

In the model (R(t)=r-18t), (R(3)=166) and (R(s)=40). What is (s)?

Explanation opens after your attempt
Correct Answer

B. (10)

Explanation

Simple Explanation

(R(3)=166) से (r=220) है। (220-18s=40) से (s=10) मिलता है। / From (R(3)=166), (r=220). From (220-18s=40), (s=10).

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Question 117/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किस विकल्प में (y) (x) के बढ़ने पर (12) प्रति चरण बढ़ता है और (y(6)=101) है?

Which option makes (y) increase by (12) per step and has (y(6)=101)?

Explanation opens after your attempt
Correct Answer

A. (y=29+12x)

Explanation

Simple Explanation

दर (12) है और (a+12(6)=101) से (a=29) मिलता है। इसलिए (y=29+12x) सही है। / The rate is (12), and (a+12(6)=101) gives (a=29). So (y=29+12x) is correct.

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Question 118/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किस विकल्प में (y) (x) के बढ़ने पर (16) प्रति चरण घटता है और (y(5)=78) है?

Which option makes (y) decrease by (16) per step and has (y(5)=78)?

Explanation opens after your attempt
Correct Answer

B. (y=158-16x)

Explanation

Simple Explanation

दर (-16) है और (a-16(5)=78) से (a=158) मिलता है। इसलिए (y=158-16x) सही है। / The rate is (-16), and (a-16(5)=78) gives (a=158). So (y=158-16x) is correct.

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Question 119/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (M(t)=95+6t) और (N(t)=203-6t), तो (M(t)) कब (N(t)) से (24) अधिक होगा?

If (M(t)=95+6t) and (N(t)=203-6t), when will (M(t)) be (24) more than (N(t))?

Explanation opens after your attempt
Correct Answer

C. (t=11)

Explanation

Simple Explanation

शर्त (M(t)=N(t)+24) है। (95+6t=227-6t) से (12t=132) और (t=11) मिलता है। / The condition is (M(t)=N(t)+24). From (95+6t=227-6t), (12t=132) and (t=11).

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Question 120/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (A(t)=280-13t) और (B(t)=65+5t), तो (A(t)) कब (B(t)) से (17) अधिक होगा?

If (A(t)=280-13t) and (B(t)=65+5t), when will (A(t)) be (17) more than (B(t))?

Explanation opens after your attempt
Correct Answer

B. (t=11)

Explanation

Simple Explanation

शर्त (280-13t=65+5t+17) है। इससे (198=18t) और (t=11) मिलता है। / The condition is (280-13t=65+5t+17). This gives (198=18t) and (t=11).

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Question 121/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (F(t)=78+rt) और (F(5)=F(13)-104), तो (r) क्या है?

If (F(t)=78+rt) and (F(5)=F(13)-104), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

(F(13)-F(5)=8r) है। (8r=104) से (r=13) मिलता है। / (F(13)-F(5)=8r). From (8r=104), (r=13).

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Question 122/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (G(t)=320-rt) और (G(4)=G(13)+144), तो (r) क्या है?

If (G(t)=320-rt) and (G(4)=G(13)+144), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

(G(4)-G(13)=9r) है। (9r=144) से (r=16) मिलता है। / (G(4)-G(13)=9r). From (9r=144), (r=16).

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Question 123/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक वस्तु की कीमत (P(n)=a+30n) है। यदि (P(5)=260), तो (P(13)) क्या है?

The price of an item is (P(n)=a+30n). If (P(5)=260), what is (P(13))?

Explanation opens after your attempt
Correct Answer

C. (500)

Explanation

Simple Explanation

(a+150=260) से (a=110) है। (P(13)=110+390=500) है। / From (a+150=260), (a=110). (P(13)=110+390=500).

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Question 124/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक मशीन का मूल्य (V(y)=c-4200y) है। यदि (V(4)=53200), तो (V(11)) क्या होगा?

A machine's value is (V(y)=c-4200y). If (V(4)=53200), what will (V(11)) be?

Explanation opens after your attempt
Correct Answer

A. (23800)

Explanation

Simple Explanation

(c-16800=53200) से (c=70000) है। (V(11)=70000-46200=23800) है। / From (c-16800=53200), (c=70000). (V(11)=70000-46200=23800).

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Question 125/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=56+8x), तो (x) का कौन सा मान (y) को (15x) के बराबर बनाता है?

If (y=56+8x), which value of (x) makes (y) equal to (15x)?

Explanation opens after your attempt
Correct Answer

C. (x=8)

Explanation

Simple Explanation

शर्त (56+8x=15x) है। इससे (56=7x) और (x=8) मिलता है। / The condition is (56+8x=15x). This gives (56=7x) and (x=8).

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Question 126/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=255-14x), तो (x) का कौन सा मान (y) को (3x) के बराबर बनाता है?

If (y=255-14x), which value of (x) makes (y) equal to (3x)?

Explanation opens after your attempt
Correct Answer

B. (x=15)

Explanation

Simple Explanation

शर्त (255-14x=3x) है। इससे (255=17x) और (x=15) मिलता है। / The condition is (255-14x=3x). This gives (255=17x) and (x=15).

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Question 127/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (L(t)=7t+41), तो (L(6t)-L(2t)) क्या है?

If (L(t)=7t+41), what is (L(6t)-L(2t))?

Explanation opens after your attempt
Correct Answer

C. (28t)

Explanation

Simple Explanation

(L(6t)=42t+41) और (L(2t)=14t+41) है। अंतर (28t) है। / (L(6t)=42t+41) and (L(2t)=14t+41). The difference is (28t).

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Question 128/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (K(t)=350-10t), तो (K(3t)-K(7t)) क्या है?

If (K(t)=350-10t), what is (K(3t)-K(7t))?

Explanation opens after your attempt
Correct Answer

B. (40t)

Explanation

Simple Explanation

(K(3t)=350-30t) और (K(7t)=350-70t) है। अंतर (40t) है। / (K(3t)=350-30t) and (K(7t)=350-70t). The difference is (40t).

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Question 129/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (Y(x)=a+10x) रेखीय वृद्धि है और (Y(5)+Y(11)=250), तो (a) क्या है?

If (Y(x)=a+10x) is linear growth and (Y(5)+Y(11)=250), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (45)

Explanation

Simple Explanation

(Y(5)+Y(11)=(a+50)+(a+110)=2a+160) है। (2a+160=250) से (a=45) मिलता है। / (Y(5)+Y(11)=(a+50)+(a+110)=2a+160). From (2a+160=250), (a=45).

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Question 130/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (Z(x)=b-15x) रेखीय क्षय है और (Z(4)+Z(8)=160), तो (b) क्या है?

If (Z(x)=b-15x) is linear decay and (Z(4)+Z(8)=160), what is (b)?

Explanation opens after your attempt
Correct Answer

B. (170)

Explanation

Simple Explanation

(Z(4)+Z(8)=(b-60)+(b-120)=2b-180) है। (2b-180=160) से (b=170) मिलता है। / (Z(4)+Z(8)=(b-60)+(b-120)=2b-180). From (2b-180=160), (b=170).

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Question 131/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (p(x)=60+9x) और (q(x)=14x-10), तो (p(x)) और (q(x)) कब बराबर होंगे?

If (p(x)=60+9x) and (q(x)=14x-10), when will (p(x)) and (q(x)) be equal?

Explanation opens after your attempt
Correct Answer

C. (x=14)

Explanation

Simple Explanation

(60+9x=14x-10) रखने पर (70=5x) मिलता है। इसलिए (x=14) है। / Setting (60+9x=14x-10) gives (70=5x). Therefore (x=14).

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Question 132/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (p(x)=330-18x) और (q(x)=78+3x), तो (p(x)=q(x)) के लिए (x) क्या है?

If (p(x)=330-18x) and (q(x)=78+3x), what is (x) for (p(x)=q(x))?

Explanation opens after your attempt
Correct Answer

C. (x=12)

Explanation

Simple Explanation

(330-18x=78+3x) से (252=21x) और (x=12) है। वृद्धि और क्षय मॉडल को बराबर करें। / From (330-18x=78+3x), (252=21x) and (x=12). Equate the growth and decay models.

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Question 133/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किस (k) के लिए (y=90+(k-11)x) रेखीय वृद्धि दिखाएगा?

For which (k) will (y=90+(k-11)x) show linear growth?

Explanation opens after your attempt
Correct Answer

C. (k>11)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-11>0) से (k>11) मिलता है। / For linear growth the coefficient of (x) must be positive. From (k-11>0), (k>11).

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Question 134/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किस (k) के लिए (y=410-(k-8)x) रेखीय क्षय दिखाएगा?

For which (k) will (y=410-(k-8)x) show linear decay?

Explanation opens after your attempt
Correct Answer

A. (k>8)

Explanation

Simple Explanation

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-8)<0) से (k>8) मिलता है। / For decay the effective coefficient must be negative. From (-(k-8)<0), (k>8).

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Question 135/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (R(x)=140+mx) और (R(14)-R(7)=126), तो (R(0)) क्या है?

If (R(x)=140+mx) and (R(14)-R(7)=126), what is (R(0))?

Explanation opens after your attempt
Correct Answer

C. (140)

Explanation

Simple Explanation

यहां (R(0)=140) सीधे आरंभिक मान है। अंतर से (m=18) मिलता है पर आरंभिक मान वही रहता है। / Here (R(0)=140) is directly the initial value. The difference gives (m=18), but the initial value remains the same.

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Question 136/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (S(x)=s-13x) और (S(6)-S(15)=117), तो कौन सा निष्कर्ष सही है?

If (S(x)=s-13x) and (S(6)-S(15)=117), which conclusion is correct?

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Correct Answer

A. हर (s) के लिए शर्त सही हैThe condition is true for every (s)

Explanation

Simple Explanation

(S(6)-S(15)=(s-78)-(s-195)=117) है। इसलिए (s) कोई भी हो सकता है। / (S(6)-S(15)=(s-78)-(s-195)=117). Therefore (s) can be any value.

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Question 137/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (A(t)=72+8t) और (B(t)=111+15t), तो (B(t)-A(t)) किस प्रकार बदलता है?

If (A(t)=72+8t) and (B(t)=111+15t), how does (B(t)-A(t)) change?

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Correct Answer

A. हर चरण (7) बढ़ता हैIt increases by (7) each step

Explanation

Simple Explanation

(B(t)-A(t)=39+7t) है। इसका गुणांक (7) है इसलिए अंतर बढ़ता है। / (B(t)-A(t)=39+7t). Its coefficient is (7), so the difference increases.

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Question 138/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (C(t)=390-11t) और (D(t)=270-22t), तो (C(t)-D(t)) किस प्रकार बदलता है?

If (C(t)=390-11t) and (D(t)=270-22t), how does (C(t)-D(t)) change?

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Correct Answer

A. हर चरण (11) बढ़ता हैIt increases by (11) each step

Explanation

Simple Explanation

(C(t)-D(t)=120+11t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है। / (C(t)-D(t)=120+11t). Therefore the difference of the two decay models increases.

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Question 139/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=96+24x), तो (x) में कितनी वृद्धि करने पर (y) (192) बढ़ेगा?

If (y=96+24x), by how much must (x) increase for (y) to increase by (192)?

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Correct Answer

C. (8)

Explanation

Simple Explanation

कुल वृद्धि \(24\Delta x\) होगी। \(24\Delta x=192\) से \(\Delta x=8\) मिलता है। / The total increase is \(24\Delta x\). From \(24\Delta x=192\), \(\Delta x=8\).

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Question 140/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=480-30x), तो (y) में (210) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=480-30x), by how much should (x) increase for (y) to decrease by (210)?

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Correct Answer

C. (7)

Explanation

Simple Explanation

कुल कमी \(30\Delta x\) होगी। \(30\Delta x=210\) से \(\Delta x=7\) मिलता है। / The total decrease is \(30\Delta x\). From \(30\Delta x=210\), \(\Delta x=7\).

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Question 141/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (f(x)=12x+50), तो (f(5x)-f(2x)) कब (180) होगा?

If (f(x)=12x+50), when will (f(5x)-f(2x)) be (180)?

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Correct Answer

B. (x=5)

Explanation

Simple Explanation

(f(5x)-f(2x)=(60x+50)-(24x+50)=36x) है। (36x=180) से (x=5) है। / (f(5x)-f(2x)=(60x+50)-(24x+50)=36x). From (36x=180), (x=5).

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Question 142/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (g(x)=420-14x), तो (g(2x)-g(6x)) कब (224) होगा?

If (g(x)=420-14x), when will (g(2x)-g(6x)) be (224)?

Explanation opens after your attempt
Correct Answer

B. (x=4)

Explanation

Simple Explanation

(g(2x)-g(6x)=(420-28x)-(420-84x)=56x) है। (56x=224) से (x=4) है। / (g(2x)-g(6x)=(420-28x)-(420-84x)=56x). From (56x=224), (x=4).

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Question 143/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (P(t)=90+8t), तो (P(7)+P(19)) किस एक (P(k)) के दोगुने के बराबर है?

If (P(t)=90+8t), (P(7)+P(19)) is equal to twice which (P(k))?

Explanation opens after your attempt
Correct Answer

C. (P(13))

Explanation

Simple Explanation

रेखीय मॉडल में (7) और (19) का मध्य (13) है। इसलिए (P(7)+P(19)=2P(13)) होता है। / In a linear model the midpoint of (7) and (19) is (13). Therefore (P(7)+P(19)=2P(13)).

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Question 144/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (Q(t)=420-12t), तो (Q(6)+Q(18)) किस एक (Q(k)) के दोगुने के बराबर है?

If (Q(t)=420-12t), (Q(6)+Q(18)) is equal to twice which (Q(k))?

Explanation opens after your attempt
Correct Answer

C. (Q(12))

Explanation

Simple Explanation

रेखीय मॉडल में (6) और (18) का मध्य (12) है। इसलिए (Q(6)+Q(18)=2Q(12)) होता है। / In a linear model the midpoint of (6) and (18) is (12). Therefore (Q(6)+Q(18)=2Q(12)).

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Question 145/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=220+ax) में (x=9) से (x=17) तक (y) (144) बढ़ता है, तो (a) क्या है?

If in (y=220+ax), (y) increases by (144) from (x=9) to (x=17), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (18)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। (8a=144) से (a=18) मिलता है। / The change in (x) is (8). From (8a=144), (a=18).

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Question 146/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=420-bx) में (x=8) से (x=16) तक (y) (152) घटता है, तो (b) क्या है?

If in (y=420-bx), (y) decreases by (152) from (x=8) to (x=16), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (19)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। कुल कमी (8b=152) है इसलिए (b=19) है। / The change in (x) is (8). The total decrease is (8b=152), so (b=19).

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Question 147/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (A(t)=70+9t) और (B(t)=118+5t), तो किस (t) पर (A(t)) (B(t)) से (8) अधिक होगा?

If (A(t)=70+9t) and (B(t)=118+5t), at what (t) will (A(t)) be (8) more than (B(t))?

Explanation opens after your attempt
Correct Answer

C. (t=14)

Explanation

Simple Explanation

शर्त (70+9t=118+5t+8) है। इससे (4t=56) और (t=14) मिलता है। / The condition is (70+9t=118+5t+8). This gives (4t=56) and (t=14).

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Question 148/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (C(t)=350-14t) और (D(t)=80+4t), तो किस (t) पर (C(t)) (D(t)) से (18) कम होगा?

If (C(t)=350-14t) and (D(t)=80+4t), at what (t) will (C(t)) be (18) less than (D(t))?

Explanation opens after your attempt
Correct Answer

C. (t=16)

Explanation

Simple Explanation

शर्त (350-14t=80+4t-18) है। इससे (288=18t) और (t=16) मिलता है। / The condition is (350-14t=80+4t-18). This gives (288=18t) and (t=16).

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Question 149/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (f(t)=a+9t) और (f(3), f(7), f(11)) का योग (279) है, तो (a) क्या है?

If (f(t)=a+9t) and the sum of (f(3), f(7), f(11)) is (279), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (36)

Explanation

Simple Explanation

योग ((a+27)+(a+63)+(a+99)=3a+189) है। (3a+189=279) से (a=30) नहीं बल्कि विकल्प (A) है। / The sum is ((a+27)+(a+63)+(a+99)=3a+189). From (3a+189=279), (a=30), so option (A) is correct.

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Question 150/150 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (g(t)=b-8t) और (g(5), g(9), g(13)) का योग (288) है, तो (b) क्या है?

If (g(t)=b-8t) and the sum of (g(5), g(9), g(13)) is (288), what is (b)?

Explanation opens after your attempt
Correct Answer

A. (144)

Explanation

Simple Explanation

योग ((b-40)+(b-72)+(b-104)=3b-216) है। (3b-216=288) से (b=168) नहीं बल्कि विकल्प (D) है। / The sum is ((b-40)+(b-72)+(b-104)=3b-216). From (3b-216=288), (b=168), so option (D) is correct.

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