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

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

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Question 1/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किसी पौधे की ऊंचाई (t=2) पर (18) सेमी और (t=7) पर (43) सेमी है। यदि वृद्धि रेखीय है, तो मॉडल क्या होगा?

A plant's height is (18) cm at (t=2) and (43) cm at (t=7). If the growth is linear, what is the model?

Explanation opens after your attempt
Correct Answer

A. (H(t)=8+5t)

Explanation

Simple Explanation

दर \(\frac{43-18}{7-2}=5\) है। (18=a+5(2)) से (a=8) मिलता है। / The rate is \(\frac{43-18}{7-2}=5\). From (18=a+5(2)), (a=8).

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Question 2/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक टंकी में (t=3) पर (96) लीटर और (t=8) पर (56) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

A tank has (96) litres at (t=3) and (56) litres at (t=8). What is the linear decay model?

Explanation opens after your attempt
Correct Answer

A. (W(t)=120-8t)

Explanation

Simple Explanation

दर \(\frac{56-96}{8-3}=-8\) है। (96=a-8(3)) से (a=120) मिलता है। / The rate is \(\frac{56-96}{8-3}=-8\). From (96=a-8(3)), (a=120).

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Question 3/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

दो रेखीय मॉडल (A(t)=25+6t) और (B(t)=70-3t) कब बराबर होंगे?

When will the two linear models (A(t)=25+6t) and (B(t)=70-3t) be equal?

Explanation opens after your attempt
Correct Answer

C. (t=5)

Explanation

Simple Explanation

बराबरी के लिए (25+6t=70-3t) रखें। इससे (9t=45) और (t=5) मिलता है। / For equality, set (25+6t=70-3t). This gives (9t=45) and (t=5).

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Question 4/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (P(t)=40+4t) और (Q(t)=100-6t), तो किस (t) पर (P(t)) पहली बार (Q(t)) के बराबर होगा?

If (P(t)=40+4t) and (Q(t)=100-6t), at what (t) will (P(t)) first equal (Q(t))?

Explanation opens after your attempt
Correct Answer

C. (t=6)

Explanation

Simple Explanation

(40+4t=100-6t) से (10t=60) होता है। इसलिए (t=6) सही है। / From (40+4t=100-6t), (10t=60). Therefore (t=6) is correct.

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Question 5/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (f(x)=a+7x) और (f(4)=53), तो (f(10)) क्या होगा?

If (f(x)=a+7x) and (f(4)=53), what will (f(10)) be?

Explanation opens after your attempt
Correct Answer

C. (95)

Explanation

Simple Explanation

(a+28=53) से (a=25) मिलता है। फिर (f(10)=25+70=95) है। / From (a+28=53), (a=25). Then (f(10)=25+70=95).

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Question 6/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (g(x)=b-9x) और (g(5)=72), तो (g(11)) क्या होगा?

If (g(x)=b-9x) and (g(5)=72), what will (g(11)) be?

Explanation opens after your attempt
Correct Answer

A. (18)

Explanation

Simple Explanation

(b-45=72) से (b=117) है। इसलिए (g(11)=117-99=18) है। / From (b-45=72), (b=117). Therefore (g(11)=117-99=18).

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Question 7/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=16+2.5x), तो (x=2) से (x=10) तक (y) में कुल वृद्धि कितनी होगी?

If (y=16+2.5x), what is the total increase in (y) from (x=2) to (x=10)?

Explanation opens after your attempt
Correct Answer

B. (20)

Explanation

Simple Explanation

(x) में परिवर्तन (10-2=8) है। कुल वृद्धि \(2.5\times8=20\) है। / The change in (x) is (10-2=8). The total increase is \(2.5\times8=20\).

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Question 8/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=85-3.5x), तो (x=4) से (x=12) तक (y) में कुल कमी कितनी होगी?

If (y=85-3.5x), what is the total decrease in (y) from (x=4) to (x=12)?

Explanation opens after your attempt
Correct Answer

C. (28)

Explanation

Simple Explanation

(x) में परिवर्तन (12-4=8) है। कुल कमी \(3.5\times8=28\) है। / The change in (x) is (12-4=8). The total decrease is \(3.5\times8=28\).

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

एक राशि (x=3) पर (41) और (x=9) पर (77) है। यदि परिवर्तन रेखीय वृद्धि है, तो प्रति चरण वृद्धि क्या है?

A quantity is (41) at (x=3) and (77) at (x=9). If the change is linear growth, what is the increase per step?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

प्रति चरण वृद्धि \(\frac{77-41}{9-3}=6\) है। रेखीय मॉडल में दर स्थिर होती है। / The increase per step is \(\frac{77-41}{9-3}=6\). In a linear model, the rate is constant.

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Question 10/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक मात्रा (x=2) पर (134) और (x=8) पर (86) है। यदि परिवर्तन रेखीय क्षय है, तो प्रति चरण कमी क्या है?

A quantity is (134) at (x=2) and (86) at (x=8). If the change is linear decay, what is the decrease per step?

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

कुल कमी (134-86=48) और चरण (6) हैं। प्रति चरण कमी \(\frac{48}{6}=8\) है। / The total decrease is (134-86=48) and there are (6) steps. The decrease per step is \(\frac{48}{6}=8\).

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Question 11/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (C(t)=18+kt) और (C(5)-C(2)=21), तो (k) क्या है?

If (C(t)=18+kt) and (C(5)-C(2)=21), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

(C(5)-C(2)=k(5-2)=3k) है। (3k=21) से (k=7) मिलता है। / (C(5)-C(2)=k(5-2)=3k). From (3k=21), (k=7).

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Question 12/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (D(t)=120-kt) और (D(3)-D(9)=42), तो (k) क्या है?

If (D(t)=120-kt) and (D(3)-D(9)=42), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

(D(3)-D(9)=k(9-3)=6k) है। (6k=42) से (k=7) मिलता है। / (D(3)-D(9)=k(9-3)=6k). From (6k=42), (k=7).

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Question 13/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (A(x)=12+5x), तो (A(x+4)-A(x-1)) का मान क्या है?

If (A(x)=12+5x), what is the value of (A(x+4)-A(x-1))?

Explanation opens after your attempt
Correct Answer

C. (25)

Explanation

Simple Explanation

चर में अंतर ((x+4)-(x-1)=5) है। दर (5) होने से अंतर (25) है। / The variable difference is ((x+4)-(x-1)=5). With rate (5), the difference is (25).

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Question 14/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (B(x)=140-8x), तो (B(x-2)-B(x+3)) का मान क्या है?

If (B(x)=140-8x), what is the value of (B(x-2)-B(x+3))?

Explanation opens after your attempt
Correct Answer

C. (40)

Explanation

Simple Explanation

((x+3)-(x-2)=5) चरणों में मान \(8\times5=40\) घटता है। इसलिए अंतर (40) है। / Over ((x+3)-(x-2)=5) steps, the value decreases by \(8\times5=40\). So the difference is (40).

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Question 15/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक मॉडल (P(t)=p+6t) में (P(3)=50) और (P(s)=80) है। (s) क्या है?

In the model (P(t)=p+6t), (P(3)=50) and (P(s)=80). What is (s)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

(P(3)=50) से (p=32) है। (32+6s=80) से (s=8) मिलता है। / From (P(3)=50), (p=32). From (32+6s=80), (s=8).

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Question 16/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक मॉडल (R(t)=r-5t) में (R(4)=90) और (R(s)=55) है। (s) क्या है?

In the model (R(t)=r-5t), (R(4)=90) and (R(s)=55). What is (s)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

(R(4)=90) से (r=110) है। (110-5s=55) से (s=11) मिलता है। / From (R(4)=90), (r=110). From (110-5s=55), (s=11).

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Question 17/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किस विकल्प में (y) (x) के बढ़ने पर (4) प्रति चरण बढ़ता है और (y(3)=29) है?

Which option makes (y) increase by (4) per step and has (y(3)=29)?

Explanation opens after your attempt
Correct Answer

A. (y=17+4x)

Explanation

Simple Explanation

दर (4) है और (a+4(3)=29) से (a=17) मिलता है। इसलिए (y=17+4x) सही है। / The rate is (4), and (a+4(3)=29) gives (a=17). So (y=17+4x) is correct.

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Question 18/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किस विकल्प में (y) (x) के बढ़ने पर (6) प्रति चरण घटता है और (y(5)=42) है?

Which option makes (y) decrease by (6) per step and has (y(5)=42)?

Explanation opens after your attempt
Correct Answer

B. (y=72-6x)

Explanation

Simple Explanation

दर (-6) है और (a-6(5)=42) से (a=72) मिलता है। इसलिए (y=72-6x) सही है। / The rate is (-6), and (a-6(5)=42) gives (a=72). So (y=72-6x) is correct.

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Question 19/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (M(t)=35+5t) और (N(t)=65-3t), तो (M(t)) कब (N(t)) से (10) अधिक होगा?

If (M(t)=35+5t) and (N(t)=65-3t), when will (M(t)) be (10) more than (N(t))?

Explanation opens after your attempt
Correct Answer

B. (t=5)

Explanation

Simple Explanation

शर्त (M(t)=N(t)+10) है। (35+5t=75-3t) से (8t=40) और (t=5) मिलता है। / The condition is (M(t)=N(t)+10). From (35+5t=75-3t), (8t=40) and (t=5).

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Question 20/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (A(t)=90-4t) और (B(t)=30+2t), तो (A(t)) कब (B(t)) से (12) अधिक होगा?

If (A(t)=90-4t) and (B(t)=30+2t), when will (A(t)) be (12) more than (B(t))?

Explanation opens after your attempt
Correct Answer

B. (t=8)

Explanation

Simple Explanation

शर्त (90-4t=30+2t+12) है। इससे (48=6t) और (t=8) मिलता है। / The condition is (90-4t=30+2t+12). This gives (48=6t) and (t=8).

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Question 21/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (F(t)=20+rt) और (F(2)=F(5)-18), तो (r) क्या है?

If (F(t)=20+rt) and (F(2)=F(5)-18), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (6)

Explanation

Simple Explanation

(F(5)-F(2)=3r) है। (3r=18) से (r=6) मिलता है। / (F(5)-F(2)=3r). From (3r=18), (r=6).

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Question 22/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (G(t)=100-rt) और (G(2)=G(7)+35), तो (r) क्या है?

If (G(t)=100-rt) and (G(2)=G(7)+35), what is (r)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

(G(2)-G(7)=5r) है। (5r=35) से (r=7) मिलता है। / (G(2)-G(7)=5r). From (5r=35), (r=7).

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Question 23/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक वस्तु की कीमत (P(n)=a+12n) है। यदि (P(3)=86), तो (P(8)) क्या है?

The price of an item is (P(n)=a+12n). If (P(3)=86), what is (P(8))?

Explanation opens after your attempt
Correct Answer

B. (146)

Explanation

Simple Explanation

(a+36=86) से (a=50) है। (P(8)=50+96=146) है। / From (a+36=86), (a=50). (P(8)=50+96=146).

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Question 24/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

एक मशीन का मूल्य (V(y)=c-1500y) है। यदि (V(2)=27000), तो (V(7)) क्या होगा?

A machine's value is (V(y)=c-1500y). If (V(2)=27000), what will (V(7)) be?

Explanation opens after your attempt
Correct Answer

C. (19500)

Explanation

Simple Explanation

(c-3000=27000) से (c=30000) है। (V(7)=30000-10500=19500) है। / From (c-3000=27000), (c=30000). (V(7)=30000-10500=19500).

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Question 25/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=15+3x), तो (x) का कौन सा मान (y) को (x) के मान का (6) गुना बनाता है?

If (y=15+3x), which value of (x) makes (y) equal to (6) times (x)?

Explanation opens after your attempt
Correct Answer

B. (x=5)

Explanation

Simple Explanation

शर्त (15+3x=6x) है। इससे (15=3x) और (x=5) मिलता है। / The condition is (15+3x=6x). This gives (15=3x) and (x=5).

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Question 26/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=80-5x), तो (x) का कौन सा मान (y) को (3x) के बराबर बनाता है?

If (y=80-5x), which value of (x) makes (y) equal to (3x)?

Explanation opens after your attempt
Correct Answer

B. (x=10)

Explanation

Simple Explanation

शर्त (80-5x=3x) है। इससे (80=8x) और (x=10) मिलता है। / The condition is (80-5x=3x). This gives (80=8x) and (x=10).

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Question 27/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (L(t)=2t+11), तो (L(3t)-L(t)) क्या है?

If (L(t)=2t+11), what is (L(3t)-L(t))?

Explanation opens after your attempt
Correct Answer

B. (4t)

Explanation

Simple Explanation

(L(3t)=6t+11) और (L(t)=2t+11) है। अंतर (4t) है। / (L(3t)=6t+11) and (L(t)=2t+11). The difference is (4t).

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Question 28/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (K(t)=90-4t), तो (K(t)-K(2t)) क्या है?

If (K(t)=90-4t), what is (K(t)-K(2t))?

Explanation opens after your attempt
Correct Answer

A. (4t)

Explanation

Simple Explanation

(K(2t)=90-8t) है। (K(t)-K(2t)=90-4t-(90-8t)=4t) है। / (K(2t)=90-8t). (K(t)-K(2t)=90-4t-(90-8t)=4t).

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Question 29/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (Y(x)=a+5x) रेखीय वृद्धि है और (Y(2)+Y(6)=86), तो (a) क्या है?

If (Y(x)=a+5x) is linear growth and (Y(2)+Y(6)=86), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (23)

Explanation

Simple Explanation

(Y(2)+Y(6)=(a+10)+(a+30)=2a+40) है। (2a+40=86) से (a=23) मिलता है। / (Y(2)+Y(6)=(a+10)+(a+30)=2a+40). From (2a+40=86), (a=23).

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Question 30/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (Z(x)=b-6x) रेखीय क्षय है और (Z(1)+Z(4)=90), तो (b) क्या है?

If (Z(x)=b-6x) is linear decay and (Z(1)+Z(4)=90), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (60)

Explanation

Simple Explanation

(Z(1)+Z(4)=(b-6)+(b-24)=2b-30) है। (2b-30=90) से (b=60) मिलता है। / (Z(1)+Z(4)=(b-6)+(b-24)=2b-30). From (2b-30=90), (b=60).

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Question 31/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (p(x)=10+3x) और (q(x)=4x-2), तो (p(x)) और (q(x)) कब बराबर होंगे?

If (p(x)=10+3x) and (q(x)=4x-2), when will (p(x)) and (q(x)) be equal?

Explanation opens after your attempt
Correct Answer

C. (x=12)

Explanation

Simple Explanation

(10+3x=4x-2) रखने पर (x=12) मिलता है। बराबरी में दोनों अभिव्यक्तियों को समान रखें। / Setting (10+3x=4x-2) gives (x=12). For equality, set both expressions equal.

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Question 32/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (p(x)=120-7x) और (q(x)=60+5x), तो (p(x)=q(x)) के लिए (x) क्या है?

If (p(x)=120-7x) and (q(x)=60+5x), what is (x) for (p(x)=q(x))?

Explanation opens after your attempt
Correct Answer

B. (x=5)

Explanation

Simple Explanation

(120-7x=60+5x) से (60=12x) और (x=5) है। वृद्धि और क्षय मॉडल को बराबर करें। / From (120-7x=60+5x), (60=12x) and (x=5). Equate the growth and decay models.

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Question 33/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किस (k) के लिए (y=18+(k-2)x) रेखीय वृद्धि दिखाएगा?

For which (k) will (y=18+(k-2)x) show linear growth?

Explanation opens after your attempt
Correct Answer

C. (k>2)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-2>0) से (k>2) मिलता है। / For linear growth, the coefficient of (x) must be positive. From (k-2>0), (k>2).

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Question 34/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

किस (k) के लिए (y=100-(k+3)x) रेखीय क्षय दिखाएगा?

For which (k) will (y=100-(k+3)x) show linear decay?

Explanation opens after your attempt
Correct Answer

A. (k>-3)

Explanation

Simple Explanation

क्षय के लिए (x) का प्रभावी गुणांक ऋणात्मक चाहिए। (-(k+3)<0) से (k>-3) मिलता है। / For decay, the effective coefficient of (x) must be negative. From (-(k+3)<0), (k>-3).

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

यदि (R(x)=50+mx) और (R(8)-R(3)=45), तो (R(0)) क्या है?

If (R(x)=50+mx) and (R(8)-R(3)=45), what is (R(0))?

Explanation opens after your attempt
Correct Answer

C. (50)

Explanation

Simple Explanation

यहां (R(0)=50) सीधे आरंभिक मान है। अंतर से (m=9) मिलता है पर (R(0)) नहीं बदलता। / Here (R(0)=50) is directly the initial value. The difference gives (m=9), but (R(0)) does not change.

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

यदि (S(x)=s-4x) और (S(2)-S(9)=28), तो कौन सा निष्कर्ष सही है?

If (S(x)=s-4x) and (S(2)-S(9)=28), 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(2)-S(9)=(s-8)-(s-36)=28) है। इसलिए (s) कोई भी हो सकता है। / (S(2)-S(9)=(s-8)-(s-36)=28). Therefore (s) can be any value.

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Question 37/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (A(t)=18+2t) और (B(t)=30+5t), तो (B(t)-A(t)) किस प्रकार बदलता है?

If (A(t)=18+2t) and (B(t)=30+5t), how does (B(t)-A(t)) change?

Explanation opens after your attempt
Correct Answer

A. हर चरण (3) बढ़ता हैIt increases by (3) each step

Explanation

Simple Explanation

(B(t)-A(t)=12+3t) है। इसका गुणांक (3) है इसलिए अंतर बढ़ता है। / (B(t)-A(t)=12+3t). Its coefficient is (3), so the difference increases.

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Question 38/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (C(t)=150-3t) और (D(t)=120-8t), तो (C(t)-D(t)) किस प्रकार बदलता है?

If (C(t)=150-3t) and (D(t)=120-8t), how does (C(t)-D(t)) change?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(C(t)-D(t)=30+5t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है। / (C(t)-D(t)=30+5t). Therefore the difference of the two decay models increases.

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Question 39/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=24+6x), तो (x) में कितनी वृद्धि करने पर (y) (42) बढ़ेगा?

If (y=24+6x), by how much must (x) increase for (y) to increase by (42)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

कुल वृद्धि \(6\Delta x\) होगी। \(6\Delta x=42\) से \(\Delta x=7\) मिलता है। / The total increase is \(6\Delta x\). From \(6\Delta x=42\), \(\Delta x=7\).

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Question 40/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=180-12x), तो (y) में (72) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=180-12x), by how much should (x) increase for (y) to decrease by (72)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

कुल कमी \(12\Delta x\) होगी। \(12\Delta x=72\) से \(\Delta x=6\) मिलता है। / The total decrease is \(12\Delta x\). From \(12\Delta x=72\), \(\Delta x=6\).

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Question 41/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (f(x)=5x+20), तो (f(2x)-f(x)) कब (30) होगा?

If (f(x)=5x+20), when will (f(2x)-f(x)) be (30)?

Explanation opens after your attempt
Correct Answer

C. (x=6)

Explanation

Simple Explanation

(f(2x)-f(x)=(10x+20)-(5x+20)=5x) है। (5x=30) से (x=6) है। / (f(2x)-f(x)=(10x+20)-(5x+20)=5x). From (5x=30), (x=6).

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Question 42/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (g(x)=96-6x), तो (g(x)-g(2x)) कब (36) होगा?

If (g(x)=96-6x), when will (g(x)-g(2x)) be (36)?

Explanation opens after your attempt
Correct Answer

C. (x=6)

Explanation

Simple Explanation

(g(x)-g(2x)=(96-6x)-(96-12x)=6x) है। (6x=36) से (x=6) है। / (g(x)-g(2x)=(96-6x)-(96-12x)=6x). From (6x=36), (x=6).

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Question 43/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (P(t)=30+5t), तो (P(2)+P(8)) किस एक (P(k)) के दोगुने के बराबर है?

If (P(t)=30+5t), (P(2)+P(8)) is equal to twice which (P(k))?

Explanation opens after your attempt
Correct Answer

C. (P(5))

Explanation

Simple Explanation

रेखीय मॉडल में (P(2)+P(8)=2P(5)) क्योंकि (5) दोनों का मध्य है। जांचने पर दोनों (110) हैं। / In a linear model, (P(2)+P(8)=2P(5)) because (5) is the midpoint. Checking gives (110) on both sides.

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Question 44/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (Q(t)=100-4t), तो (Q(1)+Q(9)) किस एक (Q(k)) के दोगुने के बराबर है?

If (Q(t)=100-4t), (Q(1)+Q(9)) is equal to twice which (Q(k))?

Explanation opens after your attempt
Correct Answer

B. (Q(5))

Explanation

Simple Explanation

रेखीय मॉडल में (1) और (9) का मध्य (5) है। इसलिए (Q(1)+Q(9)=2Q(5)) होता है। / In a linear model, the midpoint of (1) and (9) is (5). Therefore (Q(1)+Q(9)=2Q(5)).

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Question 45/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=70+ax) में (x=4) से (x=9) तक (y) (35) बढ़ता है, तो (a) क्या है?

If in (y=70+ax), (y) increases by (35) from (x=4) to (x=9), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

(x) में परिवर्तन (5) है। (5a=35) से (a=7) मिलता है। / The change in (x) is (5). From (5a=35), (a=7).

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Question 46/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (y=160-bx) में (x=3) से (x=8) तक (y) (45) घटता है, तो (b) क्या है?

If in (y=160-bx), (y) decreases by (45) from (x=3) to (x=8), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(x) में परिवर्तन (5) है। कुल कमी (5b=45) है इसलिए (b=9) है। / The change in (x) is (5). The total decrease is (5b=45), so (b=9).

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Question 47/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (A(t)=12+3t) और (B(t)=18+2t), तो किस (t) पर (A(t)) (B(t)) से (4) अधिक होगा?

If (A(t)=12+3t) and (B(t)=18+2t), at what (t) will (A(t)) be (4) more than (B(t))?

Explanation opens after your attempt
Correct Answer

C. (t=10)

Explanation

Simple Explanation

शर्त (12+3t=18+2t+4) है। इससे (t=10) मिलता है। / The condition is (12+3t=18+2t+4). This gives (t=10).

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Question 48/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (C(t)=130-5t) और (D(t)=70+3t), तो किस (t) पर (C(t)) (D(t)) से (12) कम होगा?

If (C(t)=130-5t) and (D(t)=70+3t), at what (t) will (C(t)) be (12) less than (D(t))?

Explanation opens after your attempt
Correct Answer

B. (t=9)

Explanation

Simple Explanation

शर्त (130-5t=70+3t-12) है। इससे (72=8t) और (t=9) मिलता है। / The condition is (130-5t=70+3t-12). This gives (72=8t) and (t=9).

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Question 49/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (f(t)=a+4t) और (f(1), f(3), f(5)) का योग (81) है, तो (a) क्या है?

If (f(t)=a+4t) and the sum of (f(1), f(3), f(5)) is (81), what is (a)?

Explanation opens after your attempt
Correct Answer

A. (15)

Explanation

Simple Explanation

योग ((a+4)+(a+12)+(a+20)=3a+36) है। (3a+36=81) से (a=15) है। / The sum is ((a+4)+(a+12)+(a+20)=3a+36). From (3a+36=81), (a=15).

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Question 50/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

यदि (g(t)=b-3t) और (g(2), g(4), g(6)) का योग (144) है, तो (b) क्या है?

If (g(t)=b-3t) and the sum of (g(2), g(4), g(6)) is (144), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (60)

Explanation

Simple Explanation

योग ((b-6)+(b-12)+(b-18)=3b-36) है। (3b-36=144) से (b=60) है। / The sum is ((b-6)+(b-12)+(b-18)=3b-36). From (3b-36=144), (b=60).

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Question 51/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किसी पौधे की ऊंचाई (t=1) पर (16) सेमी और (t=6) पर (46) सेमी है। यदि वृद्धि रेखीय है तो मॉडल क्या होगा?

A plant's height is (16) cm at (t=1) and (46) cm at (t=6). If the growth is linear then what is the model?

Explanation opens after your attempt
Correct Answer

A. (H(t)=10+6t)

Explanation

Simple Explanation

दर \(\frac{46-16}{6-1}=6\) है। (16=a+6(1)) से (a=10) मिलता है। / The rate is \(\frac{46-16}{6-1}=6\). From (16=a+6(1)), (a=10).

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Question 52/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक टंकी में (t=2) पर (138) लीटर और (t=8) पर (84) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

A tank has (138) litres at (t=2) and (84) litres at (t=8). What is the linear decay model?

Explanation opens after your attempt
Correct Answer

A. (W(t)=156-9t)

Explanation

Simple Explanation

दर \(\frac{84-138}{8-2}=-9\) है। (138=a-9(2)) से (a=156) मिलता है। / The rate is \(\frac{84-138}{8-2}=-9\). From (138=a-9(2)), (a=156).

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Question 53/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

दो मॉडल (A(t)=32+7t) और (B(t)=86-2t) कब बराबर होंगे?

When will the two models (A(t)=32+7t) and (B(t)=86-2t) be equal?

Explanation opens after your attempt
Correct Answer

C. (t=6)

Explanation

Simple Explanation

बराबरी के लिए (32+7t=86-2t) रखें। इससे (9t=54) और (t=6) मिलता है। / For equality set (32+7t=86-2t). This gives (9t=54) and (t=6).

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Question 54/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (P(t)=55+5t) और (Q(t)=135-3t) है तो किस (t) पर (P(t)=Q(t)) होगा?

If (P(t)=55+5t) and (Q(t)=135-3t), at which (t) will (P(t)=Q(t))?

Explanation opens after your attempt
Correct Answer

B. (t=10)

Explanation

Simple Explanation

(55+5t=135-3t) से (8t=80) होता है। इसलिए (t=10) सही है। / From (55+5t=135-3t), (8t=80). Therefore (t=10) is correct.

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Question 55/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (f(x)=a+9x) और (f(3)=64), तो (f(8)) क्या होगा?

If (f(x)=a+9x) and (f(3)=64), what will (f(8)) be?

Explanation opens after your attempt
Correct Answer

C. (109)

Explanation

Simple Explanation

(a+27=64) से (a=37) मिलता है। फिर (f(8)=37+72=109) है। / From (a+27=64), (a=37). Then (f(8)=37+72=109).

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Question 56/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (g(x)=b-8x) और (g(4)=91), तो (g(10)) क्या होगा?

If (g(x)=b-8x) and (g(4)=91), what will (g(10)) be?

Explanation opens after your attempt
Correct Answer

B. (43)

Explanation

Simple Explanation

(b-32=91) से (b=123) है। इसलिए (g(10)=123-80=43) है। / From (b-32=91), (b=123). Therefore (g(10)=123-80=43).

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Question 57/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=21+3.5x), तो (x=2) से (x=12) तक (y) में कुल वृद्धि कितनी होगी?

If (y=21+3.5x), what is the total increase in (y) from (x=2) to (x=12)?

Explanation opens after your attempt
Correct Answer

C. (35)

Explanation

Simple Explanation

(x) में परिवर्तन (12-2=10) है। कुल वृद्धि \(3.5\times10=35\) है। / The change in (x) is (12-2=10). The total increase is \(3.5\times10=35\).

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Question 58/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=96-2.25x), तो (x=4) से (x=16) तक (y) में कुल कमी कितनी होगी?

If (y=96-2.25x), what is the total decrease in (y) from (x=4) to (x=16)?

Explanation opens after your attempt
Correct Answer

C. (27)

Explanation

Simple Explanation

(x) में परिवर्तन (16-4=12) है। कुल कमी \(2.25\times12=27\) है। / The change in (x) is (16-4=12). The total decrease is \(2.25\times12=27\).

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Question 59/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक राशि (x=4) पर (39) और (x=10) पर (87) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?

A quantity is (39) at (x=4) and (87) at (x=10). If the growth is linear then what is the increase per step?

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

प्रति चरण वृद्धि \(\frac{87-39}{10-4}=8\) है। रेखीय मॉडल में दर स्थिर रहती है। / The increase per step is \(\frac{87-39}{10-4}=8\). In a linear model the rate remains constant.

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Question 60/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक मात्रा (x=3) पर (155) और (x=9) पर (95) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?

A quantity is (155) at (x=3) and (95) at (x=9). If the change is linear decay then what is the decrease per step?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

कुल कमी (155-95=60) और चरण (6) हैं। प्रति चरण कमी \(\frac{60}{6}=10\) है। / The total decrease is (155-95=60) and there are (6) steps. The decrease per step is \(\frac{60}{6}=10\).

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Question 61/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (C(t)=24+kt) और (C(7)-C(2)=45), तो (k) क्या है?

If (C(t)=24+kt) and (C(7)-C(2)=45), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(C(7)-C(2)=k(7-2)=5k) है। (5k=45) से (k=9) मिलता है। / (C(7)-C(2)=k(7-2)=5k). From (5k=45), (k=9).

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Question 62/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (D(t)=160-kt) और (D(4)-D(11)=63), तो (k) क्या है?

If (D(t)=160-kt) and (D(4)-D(11)=63), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(D(4)-D(11)=k(11-4)=7k) है। (7k=63) से (k=9) मिलता है। / (D(4)-D(11)=k(11-4)=7k). From (7k=63), (k=9).

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Question 63/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (A(x)=18+6x), तो (A(x+5)-A(x-2)) का मान क्या है?

If (A(x)=18+6x), what is the value of (A(x+5)-A(x-2))?

Explanation opens after your attempt
Correct Answer

C. (42)

Explanation

Simple Explanation

चर में अंतर ((x+5)-(x-2)=7) है। दर (6) होने से अंतर (42) है। / The variable difference is ((x+5)-(x-2)=7). With rate (6), the difference is (42).

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Question 64/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (B(x)=180-5x), तो (B(x-3)-B(x+4)) का मान क्या है?

If (B(x)=180-5x), what is the value of (B(x-3)-B(x+4))?

Explanation opens after your attempt
Correct Answer

C. (35)

Explanation

Simple Explanation

((x+4)-(x-3)=7) चरणों में मान \(5\times7=35\) घटता है। इसलिए अंतर (35) है। / Over ((x+4)-(x-3)=7) steps the value decreases by \(5\times7=35\). So the difference is (35).

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Question 65/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

मॉडल (P(t)=p+8t) में (P(4)=70) और (P(s)=118) है। (s) क्या है?

In the model (P(t)=p+8t), (P(4)=70) and (P(s)=118). What is (s)?

Explanation opens after your attempt
Correct Answer

C. (10)

Explanation

Simple Explanation

(P(4)=70) से (p=38) है। (38+8s=118) से (s=10) मिलता है। / From (P(4)=70), (p=38). From (38+8s=118), (s=10).

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Question 66/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

मॉडल (R(t)=r-7t) में (R(3)=112) और (R(s)=63) है। (s) क्या है?

In the model (R(t)=r-7t), (R(3)=112) and (R(s)=63). What is (s)?

Explanation opens after your attempt
Correct Answer

B. (10)

Explanation

Simple Explanation

(R(3)=112) से (r=133) है। (133-7s=63) से (s=10) मिलता है। / From (R(3)=112), (r=133). From (133-7s=63), (s=10).

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Question 67/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किस विकल्प में (y) (x) के बढ़ने पर (5) प्रति चरण बढ़ता है और (y(4)=37) है?

Which option makes (y) increase by (5) per step and has (y(4)=37)?

Explanation opens after your attempt
Correct Answer

A. (y=17+5x)

Explanation

Simple Explanation

दर (5) है और (a+5(4)=37) से (a=17) मिलता है। इसलिए (y=17+5x) सही है। / The rate is (5), and (a+5(4)=37) gives (a=17). So (y=17+5x) is correct.

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Question 68/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किस विकल्प में (y) (x) के बढ़ने पर (9) प्रति चरण घटता है और (y(6)=58) है?

Which option makes (y) decrease by (9) per step and has (y(6)=58)?

Explanation opens after your attempt
Correct Answer

B. (y=112-9x)

Explanation

Simple Explanation

दर (-9) है और (a-9(6)=58) से (a=112) मिलता है। इसलिए (y=112-9x) सही है। / The rate is (-9), and (a-9(6)=58) gives (a=112). So (y=112-9x) is correct.

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Question 69/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (M(t)=42+4t) और (N(t)=96-5t), तो (M(t)) कब (N(t)) से (9) अधिक होगा?

If (M(t)=42+4t) and (N(t)=96-5t), when will (M(t)) be (9) more than (N(t))?

Explanation opens after your attempt
Correct Answer

C. (t=7)

Explanation

Simple Explanation

शर्त (M(t)=N(t)+9) है। (42+4t=105-5t) से (9t=63) और (t=7) मिलता है। / The condition is (M(t)=N(t)+9). From (42+4t=105-5t), (9t=63) and (t=7).

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Question 70/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (A(t)=140-6t) और (B(t)=44+2t), तो (A(t)) कब (B(t)) से (16) अधिक होगा?

If (A(t)=140-6t) and (B(t)=44+2t), when will (A(t)) be (16) more than (B(t))?

Explanation opens after your attempt
Correct Answer

C. (t=10)

Explanation

Simple Explanation

शर्त (140-6t=44+2t+16) है। इससे (80=8t) और (t=10) मिलता है। / The condition is (140-6t=44+2t+16). This gives (80=8t) and (t=10).

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Question 71/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (F(t)=32+rt) और (F(3)=F(8)-40), तो (r) क्या है?

If (F(t)=32+rt) and (F(3)=F(8)-40), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

(F(8)-F(3)=5r) है। (5r=40) से (r=8) मिलता है। / (F(8)-F(3)=5r). From (5r=40), (r=8).

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Question 72/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (G(t)=150-rt) और (G(2)=G(9)+56), तो (r) क्या है?

If (G(t)=150-rt) and (G(2)=G(9)+56), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

(G(2)-G(9)=7r) है। (7r=56) से (r=8) मिलता है। / (G(2)-G(9)=7r). From (7r=56), (r=8).

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Question 73/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक वस्तु की कीमत (P(n)=a+15n) है। यदि (P(4)=140), तो (P(9)) क्या है?

The price of an item is (P(n)=a+15n). If (P(4)=140), what is (P(9))?

Explanation opens after your attempt
Correct Answer

B. (215)

Explanation

Simple Explanation

(a+60=140) से (a=80) है। (P(9)=80+135=215) है। / From (a+60=140), (a=80). (P(9)=80+135=215).

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Question 74/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

एक मशीन का मूल्य (V(y)=c-1800y) है। यदि (V(3)=24600), तो (V(8)) क्या होगा?

A machine's value is (V(y)=c-1800y). If (V(3)=24600), what will (V(8)) be?

Explanation opens after your attempt
Correct Answer

A. (15600)

Explanation

Simple Explanation

(c-5400=24600) से (c=30000) है। (V(8)=30000-14400=15600) है। / From (c-5400=24600), (c=30000). (V(8)=30000-14400=15600).

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Question 75/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=18+4x), तो (x) का कौन सा मान (y) को (7x) के बराबर बनाता है?

If (y=18+4x), which value of (x) makes (y) equal to (7x)?

Explanation opens after your attempt
Correct Answer

C. (x=6)

Explanation

Simple Explanation

शर्त (18+4x=7x) है। इससे (18=3x) और (x=6) मिलता है। / The condition is (18+4x=7x). This gives (18=3x) and (x=6).

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Question 76/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=96-6x), तो (x) का कौन सा मान (y) को (2x) के बराबर बनाता है?

If (y=96-6x), which value of (x) makes (y) equal to (2x)?

Explanation opens after your attempt
Correct Answer

C. (x=12)

Explanation

Simple Explanation

शर्त (96-6x=2x) है। इससे (96=8x) और (x=12) मिलता है। / The condition is (96-6x=2x). This gives (96=8x) and (x=12).

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Question 77/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (L(t)=3t+14), तो (L(4t)-L(t)) क्या है?

If (L(t)=3t+14), what is (L(4t)-L(t))?

Explanation opens after your attempt
Correct Answer

C. (9t)

Explanation

Simple Explanation

(L(4t)=12t+14) और (L(t)=3t+14) है। अंतर (9t) है। / (L(4t)=12t+14) and (L(t)=3t+14). The difference is (9t).

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Question 78/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (K(t)=120-5t), तो (K(t)-K(3t)) क्या है?

If (K(t)=120-5t), what is (K(t)-K(3t))?

Explanation opens after your attempt
Correct Answer

B. (10t)

Explanation

Simple Explanation

(K(3t)=120-15t) है। (K(t)-K(3t)=120-5t-(120-15t)=10t) है। / (K(3t)=120-15t). (K(t)-K(3t)=120-5t-(120-15t)=10t).

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Question 79/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (Y(x)=a+6x) रेखीय वृद्धि है और (Y(3)+Y(7)=124), तो (a) क्या है?

If (Y(x)=a+6x) is linear growth and (Y(3)+Y(7)=124), what is (a)?

Explanation opens after your attempt
Correct Answer

D. (32)

Explanation

Simple Explanation

(Y(3)+Y(7)=(a+18)+(a+42)=2a+60) है। (2a+60=124) से (a=32) मिलता है। / (Y(3)+Y(7)=(a+18)+(a+42)=2a+60). From (2a+60=124), (a=32).

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Question 80/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (Z(x)=b-7x) रेखीय क्षय है और (Z(2)+Z(6)=128), तो (b) क्या है?

If (Z(x)=b-7x) is linear decay and (Z(2)+Z(6)=128), what is (b)?

Explanation opens after your attempt
Correct Answer

B. (92)

Explanation

Simple Explanation

(Z(2)+Z(6)=(b-14)+(b-42)=2b-56) है। (2b-56=128) से (b=92) मिलता है। / (Z(2)+Z(6)=(b-14)+(b-42)=2b-56). From (2b-56=128), (b=92).

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Question 81/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (p(x)=18+5x) और (q(x)=7x-4), तो (p(x)) और (q(x)) कब बराबर होंगे?

If (p(x)=18+5x) and (q(x)=7x-4), when will (p(x)) and (q(x)) be equal?

Explanation opens after your attempt
Correct Answer

C. (x=11)

Explanation

Simple Explanation

(18+5x=7x-4) रखने पर (22=2x) मिलता है। इसलिए (x=11) है। / Setting (18+5x=7x-4) gives (22=2x). Therefore (x=11).

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Question 82/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (p(x)=150-8x) और (q(x)=54+4x), तो (p(x)=q(x)) के लिए (x) क्या है?

If (p(x)=150-8x) and (q(x)=54+4x), what is (x) for (p(x)=q(x))?

Explanation opens after your attempt
Correct Answer

C. (x=8)

Explanation

Simple Explanation

(150-8x=54+4x) से (96=12x) और (x=8) है। वृद्धि और क्षय मॉडल को बराबर करें। / From (150-8x=54+4x), (96=12x) and (x=8). Equate the growth and decay models.

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Question 83/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किस (k) के लिए (y=25+(k-4)x) रेखीय वृद्धि दिखाएगा?

For which (k) will (y=25+(k-4)x) show linear growth?

Explanation opens after your attempt
Correct Answer

C. (k>4)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-4>0) से (k>4) मिलता है। / For linear growth the coefficient of (x) must be positive. From (k-4>0), (k>4).

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Question 84/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

किस (k) के लिए (y=140-(k-5)x) रेखीय क्षय दिखाएगा?

For which (k) will (y=140-(k-5)x) show linear decay?

Explanation opens after your attempt
Correct Answer

A. (k>5)

Explanation

Simple Explanation

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-5)<0) से (k>5) मिलता है। / For decay the effective coefficient must be negative. From (-(k-5)<0), (k>5).

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Question 85/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (R(x)=65+mx) और (R(9)-R(4)=55), तो (R(0)) क्या है?

If (R(x)=65+mx) and (R(9)-R(4)=55), what is (R(0))?

Explanation opens after your attempt
Correct Answer

C. (65)

Explanation

Simple Explanation

यहां (R(0)=65) सीधे आरंभिक मान है। अंतर से (m=11) मिलता है पर आरंभिक मान वही रहता है। / Here (R(0)=65) is directly the initial value. The difference gives (m=11), but the initial value remains the same.

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Question 86/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (S(x)=s-6x) और (S(3)-S(10)=42), तो कौन सा निष्कर्ष सही है?

If (S(x)=s-6x) and (S(3)-S(10)=42), 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(3)-S(10)=(s-18)-(s-60)=42) है। इसलिए (s) कोई भी हो सकता है। / (S(3)-S(10)=(s-18)-(s-60)=42). Therefore (s) can be any value.

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Question 87/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (A(t)=28+3t) और (B(t)=40+7t), तो (B(t)-A(t)) किस प्रकार बदलता है?

If (A(t)=28+3t) and (B(t)=40+7t), how does (B(t)-A(t)) change?

Explanation opens after your attempt
Correct Answer

A. हर चरण (4) बढ़ता हैIt increases by (4) each step

Explanation

Simple Explanation

(B(t)-A(t)=12+4t) है। इसका गुणांक (4) है इसलिए अंतर बढ़ता है। / (B(t)-A(t)=12+4t). Its coefficient is (4), so the difference increases.

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Question 88/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (C(t)=170-4t) और (D(t)=110-9t), तो (C(t)-D(t)) किस प्रकार बदलता है?

If (C(t)=170-4t) and (D(t)=110-9t), how does (C(t)-D(t)) change?

Explanation opens after your attempt
Correct Answer

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

Explanation

Simple Explanation

(C(t)-D(t)=60+5t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है। / (C(t)-D(t)=60+5t). Therefore the difference of the two decay models increases.

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Question 89/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=36+8x), तो (x) में कितनी वृद्धि करने पर (y) (64) बढ़ेगा?

If (y=36+8x), by how much must (x) increase for (y) to increase by (64)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

कुल वृद्धि \(8\Delta x\) होगी। \(8\Delta x=64\) से \(\Delta x=8\) मिलता है। / The total increase is \(8\Delta x\). From \(8\Delta x=64\), \(\Delta x=8\).

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Question 90/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=240-15x), तो (y) में (90) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=240-15x), by how much should (x) increase for (y) to decrease by (90)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

कुल कमी \(15\Delta x\) होगी। \(15\Delta x=90\) से \(\Delta x=6\) मिलता है। / The total decrease is \(15\Delta x\). From \(15\Delta x=90\), \(\Delta x=6\).

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Question 91/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (f(x)=7x+18), तो (f(2x)-f(x)) कब (42) होगा?

If (f(x)=7x+18), when will (f(2x)-f(x)) be (42)?

Explanation opens after your attempt
Correct Answer

C. (x=6)

Explanation

Simple Explanation

(f(2x)-f(x)=(14x+18)-(7x+18)=7x) है। (7x=42) से (x=6) है। / (f(2x)-f(x)=(14x+18)-(7x+18)=7x). From (7x=42), (x=6).

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Question 92/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (g(x)=144-8x), तो (g(x)-g(2x)) कब (64) होगा?

If (g(x)=144-8x), when will (g(x)-g(2x)) be (64)?

Explanation opens after your attempt
Correct Answer

C. (x=8)

Explanation

Simple Explanation

(g(x)-g(2x)=(144-8x)-(144-16x)=8x) है। (8x=64) से (x=8) है। / (g(x)-g(2x)=(144-8x)-(144-16x)=8x). From (8x=64), (x=8).

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Question 93/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (P(t)=42+6t), तो (P(3)+P(11)) किस एक (P(k)) के दोगुने के बराबर है?

If (P(t)=42+6t), (P(3)+P(11)) is equal to twice which (P(k))?

Explanation opens after your attempt
Correct Answer

C. (P(7))

Explanation

Simple Explanation

रेखीय मॉडल में (3) और (11) का मध्य (7) है। इसलिए (P(3)+P(11)=2P(7)) होता है। / In a linear model the midpoint of (3) and (11) is (7). Therefore (P(3)+P(11)=2P(7)).

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Question 94/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (Q(t)=160-5t), तो (Q(2)+Q(12)) किस एक (Q(k)) के दोगुने के बराबर है?

If (Q(t)=160-5t), (Q(2)+Q(12)) is equal to twice which (Q(k))?

Explanation opens after your attempt
Correct Answer

B. (Q(7))

Explanation

Simple Explanation

रेखीय मॉडल में (2) और (12) का मध्य (7) है। इसलिए (Q(2)+Q(12)=2Q(7)) होता है। / In a linear model the midpoint of (2) and (12) is (7). Therefore (Q(2)+Q(12)=2Q(7)).

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Question 95/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=90+ax) में (x=5) से (x=12) तक (y) (63) बढ़ता है, तो (a) क्या है?

If in (y=90+ax), (y) increases by (63) from (x=5) to (x=12), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(x) में परिवर्तन (7) है। (7a=63) से (a=9) मिलता है। / The change in (x) is (7). From (7a=63), (a=9).

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Question 96/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (y=220-bx) में (x=4) से (x=12) तक (y) (96) घटता है, तो (b) क्या है?

If in (y=220-bx), (y) decreases by (96) from (x=4) to (x=12), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। कुल कमी (8b=96) है इसलिए (b=12) है। / The change in (x) is (8). The total decrease is (8b=96), so (b=12).

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Question 97/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (A(t)=20+4t) और (B(t)=35+3t), तो किस (t) पर (A(t)) (B(t)) से (5) अधिक होगा?

If (A(t)=20+4t) and (B(t)=35+3t), at what (t) will (A(t)) be (5) more than (B(t))?

Explanation opens after your attempt
Correct Answer

C. (t=20)

Explanation

Simple Explanation

शर्त (20+4t=35+3t+5) है। इससे (t=20) मिलता है। / The condition is (20+4t=35+3t+5). This gives (t=20).

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Question 98/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (C(t)=180-7t) और (D(t)=60+5t), तो किस (t) पर (C(t)) (D(t)) से (12) कम होगा?

If (C(t)=180-7t) and (D(t)=60+5t), at what (t) will (C(t)) be (12) less than (D(t))?

Explanation opens after your attempt
Correct Answer

C. (t=11)

Explanation

Simple Explanation

शर्त (180-7t=60+5t-12) है। इससे (132=12t) और (t=11) मिलता है। / The condition is (180-7t=60+5t-12). This gives (132=12t) and (t=11).

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Question 99/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (f(t)=a+5t) और (f(2), f(4), f(8)) का योग (126) है, तो (a) क्या है?

If (f(t)=a+5t) and the sum of (f(2), f(4), f(8)) is (126), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (22)

Explanation

Simple Explanation

योग ((a+10)+(a+20)+(a+40)=3a+70) है। (3a+70=126) से \(a=\frac{56}{3}\) नहीं मिलता इसलिए विकल्पों में कोई नहीं होता। / The sum is ((a+10)+(a+20)+(a+40)=3a+70). From (3a+70=126), \(a=\frac{56}{3}\), so none of the listed options is correct.

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Question 100/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 37

यदि (g(t)=b-4t) और (g(1), g(5), g(9)) का योग (156) है, तो (b) क्या है?

If (g(t)=b-4t) and the sum of (g(1), g(5), g(9)) is (156), what is (b)?

Explanation opens after your attempt
Correct Answer

D. (72)

Explanation

Simple Explanation

योग ((b-4)+(b-20)+(b-36)=3b-60) है। (3b-60=156) से (b=72) है। / The sum is ((b-4)+(b-20)+(b-36)=3b-60). From (3b-60=156), (b=72).

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Question 101/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किसी पौधे की ऊंचाई (t=2) पर (27) सेमी और (t=8) पर (69) सेमी है। यदि वृद्धि रेखीय है तो मॉडल क्या होगा?

A plant's height is (27) cm at (t=2) and (69) cm at (t=8). If the growth is linear then what is the model?

Explanation opens after your attempt
Correct Answer

A. (H(t)=13+7t)

Explanation

Simple Explanation

दर \(\frac{69-27}{8-2}=7\) है। (27=a+7(2)) से (a=13) मिलता है। / The rate is \(\frac{69-27}{8-2}=7\). From (27=a+7(2)), (a=13).

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Question 102/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक टंकी में (t=1) पर (142) लीटर और (t=7) पर (88) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

A tank has (142) litres at (t=1) and (88) litres at (t=7). What is the linear decay model?

Explanation opens after your attempt
Correct Answer

B. (W(t)=151-9t)

Explanation

Simple Explanation

दर \(\frac{88-142}{7-1}=-9\) है। (142=a-9(1)) से (a=151) मिलता है। / The rate is \(\frac{88-142}{7-1}=-9\). From (142=a-9(1)), (a=151).

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Question 103/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

दो मॉडल (A(t)=45+8t) और (B(t)=129-4t) कब बराबर होंगे?

When will the two models (A(t)=45+8t) and (B(t)=129-4t) be equal?

Explanation opens after your attempt
Correct Answer

C. (t=7)

Explanation

Simple Explanation

बराबरी के लिए (45+8t=129-4t) रखें। इससे (12t=84) और (t=7) मिलता है। / For equality set (45+8t=129-4t). This gives (12t=84) and (t=7).

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Question 104/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (P(t)=38+6t) और (Q(t)=122-8t) है तो किस (t) पर (P(t)=Q(t)) होगा?

If (P(t)=38+6t) and (Q(t)=122-8t), at which (t) will (P(t)=Q(t))?

Explanation opens after your attempt
Correct Answer

B. (t=6)

Explanation

Simple Explanation

(38+6t=122-8t) से (14t=84) होता है। इसलिए (t=6) सही है। / From (38+6t=122-8t), (14t=84). Therefore (t=6) is correct.

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Question 105/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (f(x)=a+11x) और (f(2)=61), तो (f(9)) क्या होगा?

If (f(x)=a+11x) and (f(2)=61), what will (f(9)) be?

Explanation opens after your attempt
Correct Answer

C. (138)

Explanation

Simple Explanation

(a+22=61) से (a=39) मिलता है। फिर (f(9)=39+99=138) है। / From (a+22=61), (a=39). Then (f(9)=39+99=138).

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Question 106/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (g(x)=b-7x) और (g(6)=74), तो (g(13)) क्या होगा?

If (g(x)=b-7x) and (g(6)=74), what will (g(13)) be?

Explanation opens after your attempt
Correct Answer

A. (25)

Explanation

Simple Explanation

(b-42=74) से (b=116) है। इसलिए (g(13)=116-91=25) है। / From (b-42=74), (b=116). Therefore (g(13)=116-91=25).

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Question 107/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=18+2.75x), तो (x=4) से (x=16) तक (y) में कुल वृद्धि कितनी होगी?

If (y=18+2.75x), what is the total increase in (y) from (x=4) to (x=16)?

Explanation opens after your attempt
Correct Answer

C. (33)

Explanation

Simple Explanation

(x) में परिवर्तन (16-4=12) है। कुल वृद्धि \(2.75\times12=33\) है। / The change in (x) is (16-4=12). The total increase is \(2.75\times12=33\).

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Question 108/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=110-4.25x), तो (x=3) से (x=11) तक (y) में कुल कमी कितनी होगी?

If (y=110-4.25x), what is the total decrease in (y) from (x=3) to (x=11)?

Explanation opens after your attempt
Correct Answer

C. (34)

Explanation

Simple Explanation

(x) में परिवर्तन (11-3=8) है। कुल कमी \(4.25\times8=34\) है। / The change in (x) is (11-3=8). The total decrease is \(4.25\times8=34\).

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Question 109/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक राशि (x=5) पर (52) और (x=11) पर (106) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?

A quantity is (52) at (x=5) and (106) at (x=11). If the growth is linear then what is the increase per step?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

प्रति चरण वृद्धि \(\frac{106-52}{11-5}=9\) है। रेखीय मॉडल में दर स्थिर रहती है। / The increase per step is \(\frac{106-52}{11-5}=9\). In a linear model the rate remains constant.

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Question 110/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक मात्रा (x=2) पर (178) और (x=10) पर (82) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?

A quantity is (178) at (x=2) and (82) at (x=10). If the change is linear decay then what is the decrease per step?

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Correct Answer

B. (12)

Explanation

Simple Explanation

कुल कमी (178-82=96) और चरण (8) हैं। प्रति चरण कमी \(\frac{96}{8}=12\) है। / The total decrease is (178-82=96) and there are (8) steps. The decrease per step is \(\frac{96}{8}=12\).

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Question 111/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (C(t)=31+kt) और (C(9)-C(4)=60), तो (k) क्या है?

If (C(t)=31+kt) and (C(9)-C(4)=60), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(C(9)-C(4)=k(9-4)=5k) है। (5k=60) से (k=12) मिलता है। / (C(9)-C(4)=k(9-4)=5k). From (5k=60), (k=12).

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Question 112/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (D(t)=190-kt) और (D(3)-D(12)=81), तो (k) क्या है?

If (D(t)=190-kt) and (D(3)-D(12)=81), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(D(3)-D(12)=k(12-3)=9k) है। (9k=81) से (k=9) मिलता है। / (D(3)-D(12)=k(12-3)=9k). From (9k=81), (k=9).

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Question 113/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (A(x)=25+4x), तो (A(x+6)-A(x-1)) का मान क्या है?

If (A(x)=25+4x), what is the value of (A(x+6)-A(x-1))?

Explanation opens after your attempt
Correct Answer

C. (28)

Explanation

Simple Explanation

चर में अंतर ((x+6)-(x-1)=7) है। दर (4) होने से अंतर (28) है। / The variable difference is ((x+6)-(x-1)=7). With rate (4), the difference is (28).

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Question 114/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (B(x)=210-6x), तो (B(x-4)-B(x+2)) का मान क्या है?

If (B(x)=210-6x), what is the value of (B(x-4)-B(x+2))?

Explanation opens after your attempt
Correct Answer

C. (36)

Explanation

Simple Explanation

((x+2)-(x-4)=6) चरणों में मान \(6\times6=36\) घटता है। इसलिए अंतर (36) है। / Over ((x+2)-(x-4)=6) steps the value decreases by \(6\times6=36\). So the difference is (36).

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Question 115/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

मॉडल (P(t)=p+9t) में (P(3)=82) और (P(s)=136) है। (s) क्या है?

In the model (P(t)=p+9t), (P(3)=82) and (P(s)=136). What is (s)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

(P(3)=82) से (p=55) है। (55+9s=136) से (s=9) मिलता है। / From (P(3)=82), (p=55). From (55+9s=136), (s=9).

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Question 116/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

मॉडल (R(t)=r-8t) में (R(5)=104) और (R(s)=48) है। (s) क्या है?

In the model (R(t)=r-8t), (R(5)=104) and (R(s)=48). What is (s)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(R(5)=104) से (r=144) है। (144-8s=48) से (s=12) मिलता है। / From (R(5)=104), (r=144). From (144-8s=48), (s=12).

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Question 117/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस विकल्प में (y) (x) के बढ़ने पर (8) प्रति चरण बढ़ता है और (y(3)=50) है?

Which option makes (y) increase by (8) per step and has (y(3)=50)?

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Correct Answer

A. (y=26+8x)

Explanation

Simple Explanation

दर (8) है और (a+8(3)=50) से (a=26) मिलता है। इसलिए (y=26+8x) सही है। / The rate is (8), and (a+8(3)=50) gives (a=26). So (y=26+8x) is correct.

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Question 118/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस विकल्प में (y) (x) के बढ़ने पर (4) प्रति चरण घटता है और (y(7)=73) है?

Which option makes (y) decrease by (4) per step and has (y(7)=73)?

Explanation opens after your attempt
Correct Answer

B. (y=101-4x)

Explanation

Simple Explanation

दर (-4) है और (a-4(7)=73) से (a=101) मिलता है। इसलिए (y=101-4x) सही है। / The rate is (-4), and (a-4(7)=73) gives (a=101). So (y=101-4x) is correct.

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Question 119/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (M(t)=58+3t) और (N(t)=116-5t), तो (M(t)) कब (N(t)) से (14) अधिक होगा?

If (M(t)=58+3t) and (N(t)=116-5t), when will (M(t)) be (14) more than (N(t))?

Explanation opens after your attempt
Correct Answer

C. (t=9)

Explanation

Simple Explanation

शर्त (M(t)=N(t)+14) है। (58+3t=130-5t) से (8t=72) और (t=9) मिलता है। / The condition is (M(t)=N(t)+14). From (58+3t=130-5t), (8t=72) and (t=9).

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Question 120/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (A(t)=170-9t) और (B(t)=38+4t), तो (A(t)) कब (B(t)) से (2) अधिक होगा?

If (A(t)=170-9t) and (B(t)=38+4t), when will (A(t)) be (2) more than (B(t))?

Explanation opens after your attempt
Correct Answer

C. (t=10)

Explanation

Simple Explanation

शर्त (170-9t=38+4t+2) है। इससे (130=13t) और (t=10) मिलता है। / The condition is (170-9t=38+4t+2). This gives (130=13t) and (t=10).

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Question 121/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (F(t)=45+rt) और (F(2)=F(9)-63), तो (r) क्या है?

If (F(t)=45+rt) and (F(2)=F(9)-63), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(F(9)-F(2)=7r) है। (7r=63) से (r=9) मिलता है। / (F(9)-F(2)=7r). From (7r=63), (r=9).

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Question 122/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (G(t)=180-rt) और (G(4)=G(12)+72), तो (r) क्या है?

If (G(t)=180-rt) and (G(4)=G(12)+72), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(G(4)-G(12)=8r) है। (8r=72) से (r=9) मिलता है। / (G(4)-G(12)=8r). From (8r=72), (r=9).

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Question 123/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक वस्तु की कीमत (P(n)=a+18n) है। यदि (P(5)=170), तो (P(11)) क्या है?

The price of an item is (P(n)=a+18n). If (P(5)=170), what is (P(11))?

Explanation opens after your attempt
Correct Answer

C. (278)

Explanation

Simple Explanation

(a+90=170) से (a=80) है। (P(11)=80+198=278) है। / From (a+90=170), (a=80). (P(11)=80+198=278).

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Question 124/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक मशीन का मूल्य (V(y)=c-2200y) है। यदि (V(4)=31200), तो (V(9)) क्या होगा?

A machine's value is (V(y)=c-2200y). If (V(4)=31200), what will (V(9)) be?

Explanation opens after your attempt
Correct Answer

B. (20200)

Explanation

Simple Explanation

(c-8800=31200) से (c=40000) है। (V(9)=40000-19800=20200) है। / From (c-8800=31200), (c=40000). (V(9)=40000-19800=20200).

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Question 125/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=24+5x), तो (x) का कौन सा मान (y) को (9x) के बराबर बनाता है?

If (y=24+5x), which value of (x) makes (y) equal to (9x)?

Explanation opens after your attempt
Correct Answer

C. (x=6)

Explanation

Simple Explanation

शर्त (24+5x=9x) है। इससे (24=4x) और (x=6) मिलता है। / The condition is (24+5x=9x). This gives (24=4x) and (x=6).

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Question 126/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=126-7x), तो (x) का कौन सा मान (y) को (2x) के बराबर बनाता है?

If (y=126-7x), which value of (x) makes (y) equal to (2x)?

Explanation opens after your attempt
Correct Answer

B. (x=14)

Explanation

Simple Explanation

शर्त (126-7x=2x) है। इससे (126=9x) और (x=14) मिलता है। / The condition is (126-7x=2x). This gives (126=9x) and (x=14).

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Question 127/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (L(t)=4t+19), तो (L(5t)-L(2t)) क्या है?

If (L(t)=4t+19), what is (L(5t)-L(2t))?

Explanation opens after your attempt
Correct Answer

C. (12t)

Explanation

Simple Explanation

(L(5t)=20t+19) और (L(2t)=8t+19) है। अंतर (12t) है। / (L(5t)=20t+19) and (L(2t)=8t+19). The difference is (12t).

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Question 128/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (K(t)=150-6t), तो (K(t)-K(4t)) क्या है?

If (K(t)=150-6t), what is (K(t)-K(4t))?

Explanation opens after your attempt
Correct Answer

C. (18t)

Explanation

Simple Explanation

(K(4t)=150-24t) है। (K(t)-K(4t)=150-6t-(150-24t)=18t) है। / (K(4t)=150-24t). (K(t)-K(4t)=150-6t-(150-24t)=18t).

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Question 129/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Y(x)=a+7x) रेखीय वृद्धि है और (Y(2)+Y(8)=150), तो (a) क्या है?

If (Y(x)=a+7x) is linear growth and (Y(2)+Y(8)=150), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (40)

Explanation

Simple Explanation

(Y(2)+Y(8)=(a+14)+(a+56)=2a+70) है। (2a+70=150) से (a=40) मिलता है। / (Y(2)+Y(8)=(a+14)+(a+56)=2a+70). From (2a+70=150), (a=40).

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Question 130/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Z(x)=b-9x) रेखीय क्षय है और (Z(3)+Z(5)=114), तो (b) क्या है?

If (Z(x)=b-9x) is linear decay and (Z(3)+Z(5)=114), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (93)

Explanation

Simple Explanation

(Z(3)+Z(5)=(b-27)+(b-45)=2b-72) है। (2b-72=114) से (b=93) मिलता है। / (Z(3)+Z(5)=(b-27)+(b-45)=2b-72). From (2b-72=114), (b=93).

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Question 131/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (p(x)=27+6x) और (q(x)=9x-6), तो (p(x)) और (q(x)) कब बराबर होंगे?

If (p(x)=27+6x) and (q(x)=9x-6), when will (p(x)) and (q(x)) be equal?

Explanation opens after your attempt
Correct Answer

C. (x=11)

Explanation

Simple Explanation

(27+6x=9x-6) रखने पर (33=3x) मिलता है। इसलिए (x=11) है। / Setting (27+6x=9x-6) gives (33=3x). Therefore (x=11).

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Question 132/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (p(x)=180-10x) और (q(x)=72+2x), तो (p(x)=q(x)) के लिए (x) क्या है?

If (p(x)=180-10x) and (q(x)=72+2x), what is (x) for (p(x)=q(x))?

Explanation opens after your attempt
Correct Answer

C. (x=9)

Explanation

Simple Explanation

(180-10x=72+2x) से (108=12x) और (x=9) है। वृद्धि और क्षय मॉडल को बराबर करें। / From (180-10x=72+2x), (108=12x) and (x=9). Equate the growth and decay models.

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Question 133/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस (k) के लिए (y=40+(k-6)x) रेखीय वृद्धि दिखाएगा?

For which (k) will (y=40+(k-6)x) show linear growth?

Explanation opens after your attempt
Correct Answer

C. (k>6)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-6>0) से (k>6) मिलता है। / For linear growth the coefficient of (x) must be positive. From (k-6>0), (k>6).

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Question 134/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस (k) के लिए (y=200-(k+2)x) रेखीय क्षय दिखाएगा?

For which (k) will (y=200-(k+2)x) show linear decay?

Explanation opens after your attempt
Correct Answer

A. (k>-2)

Explanation

Simple Explanation

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k+2)<0) से (k>-2) मिलता है। / For decay the effective coefficient must be negative. From (-(k+2)<0), (k>-2).

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Question 135/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (R(x)=82+mx) और (R(10)-R(4)=72), तो (R(0)) क्या है?

If (R(x)=82+mx) and (R(10)-R(4)=72), what is (R(0))?

Explanation opens after your attempt
Correct Answer

C. (82)

Explanation

Simple Explanation

यहां (R(0)=82) सीधे आरंभिक मान है। अंतर से (m=12) मिलता है पर आरंभिक मान वही रहता है। / Here (R(0)=82) is directly the initial value. The difference gives (m=12), but the initial value remains the same.

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Question 136/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (S(x)=s-8x) और (S(2)-S(9)=56), तो कौन सा निष्कर्ष सही है?

If (S(x)=s-8x) and (S(2)-S(9)=56), 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(2)-S(9)=(s-16)-(s-72)=56) है। इसलिए (s) कोई भी हो सकता है। / (S(2)-S(9)=(s-16)-(s-72)=56). Therefore (s) can be any value.

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Question 137/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (A(t)=34+5t) और (B(t)=55+9t), तो (B(t)-A(t)) किस प्रकार बदलता है?

If (A(t)=34+5t) and (B(t)=55+9t), how does (B(t)-A(t)) change?

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Correct Answer

A. हर चरण (4) बढ़ता हैIt increases by (4) each step

Explanation

Simple Explanation

(B(t)-A(t)=21+4t) है। इसका गुणांक (4) है इसलिए अंतर बढ़ता है। / (B(t)-A(t)=21+4t). Its coefficient is (4), so the difference increases.

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Question 138/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (C(t)=220-6t) और (D(t)=150-13t), तो (C(t)-D(t)) किस प्रकार बदलता है?

If (C(t)=220-6t) and (D(t)=150-13t), 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)=70+7t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है। / (C(t)-D(t)=70+7t). Therefore the difference of the two decay models increases.

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Question 139/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=48+12x), तो (x) में कितनी वृद्धि करने पर (y) (84) बढ़ेगा?

If (y=48+12x), by how much must (x) increase for (y) to increase by (84)?

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Correct Answer

C. (7)

Explanation

Simple Explanation

कुल वृद्धि \(12\Delta x\) होगी। \(12\Delta x=84\) से \(\Delta x=7\) मिलता है। / The total increase is \(12\Delta x\). From \(12\Delta x=84\), \(\Delta x=7\).

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Question 140/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=270-18x), तो (y) में (126) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=270-18x), by how much should (x) increase for (y) to decrease by (126)?

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Correct Answer

C. (7)

Explanation

Simple Explanation

कुल कमी \(18\Delta x\) होगी। \(18\Delta x=126\) से \(\Delta x=7\) मिलता है। / The total decrease is \(18\Delta x\). From \(18\Delta x=126\), \(\Delta x=7\).

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Question 141/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (f(x)=8x+22), तो (f(3x)-f(x)) कब (80) होगा?

If (f(x)=8x+22), when will (f(3x)-f(x)) be (80)?

Explanation opens after your attempt
Correct Answer

B. (x=5)

Explanation

Simple Explanation

(f(3x)-f(x)=(24x+22)-(8x+22)=16x) है। (16x=80) से (x=5) है। / (f(3x)-f(x)=(24x+22)-(8x+22)=16x). From (16x=80), (x=5).

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Question 142/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (g(x)=180-9x), तो (g(x)-g(3x)) कब (90) होगा?

If (g(x)=180-9x), when will (g(x)-g(3x)) be (90)?

Explanation opens after your attempt
Correct Answer

B. (x=5)

Explanation

Simple Explanation

(g(x)-g(3x)=(180-9x)-(180-27x)=18x) है। (18x=90) से (x=5) है। / (g(x)-g(3x)=(180-9x)-(180-27x)=18x). From (18x=90), (x=5).

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Question 143/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (P(t)=50+4t), तो (P(4)+P(12)) किस एक (P(k)) के दोगुने के बराबर है?

If (P(t)=50+4t), (P(4)+P(12)) is equal to twice which (P(k))?

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Correct Answer

C. (P(8))

Explanation

Simple Explanation

रेखीय मॉडल में (4) और (12) का मध्य (8) है। इसलिए (P(4)+P(12)=2P(8)) होता है। / In a linear model the midpoint of (4) and (12) is (8). Therefore (P(4)+P(12)=2P(8)).

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Question 144/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Q(t)=210-7t), तो (Q(3)+Q(15)) किस एक (Q(k)) के दोगुने के बराबर है?

If (Q(t)=210-7t), (Q(3)+Q(15)) is equal to twice which (Q(k))?

Explanation opens after your attempt
Correct Answer

B. (Q(9))

Explanation

Simple Explanation

रेखीय मॉडल में (3) और (15) का मध्य (9) है। इसलिए (Q(3)+Q(15)=2Q(9)) होता है। / In a linear model the midpoint of (3) and (15) is (9). Therefore (Q(3)+Q(15)=2Q(9)).

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Question 145/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=120+ax) में (x=6) से (x=14) तक (y) (88) बढ़ता है, तो (a) क्या है?

If in (y=120+ax), (y) increases by (88) from (x=6) to (x=14), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। (8a=88) से (a=11) मिलता है। / The change in (x) is (8). From (8a=88), (a=11).

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Question 146/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=260-bx) में (x=5) से (x=13) तक (y) (104) घटता है, तो (b) क्या है?

If in (y=260-bx), (y) decreases by (104) from (x=5) to (x=13), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (13)

Explanation

Simple Explanation

(x) में परिवर्तन (8) है। कुल कमी (8b=104) है इसलिए (b=13) है। / The change in (x) is (8). The total decrease is (8b=104), so (b=13).

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Question 147/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (A(t)=30+5t) और (B(t)=54+3t), तो किस (t) पर (A(t)) (B(t)) से (6) अधिक होगा?

If (A(t)=30+5t) and (B(t)=54+3t), at what (t) will (A(t)) be (6) more than (B(t))?

Explanation opens after your attempt
Correct Answer

D. (t=15)

Explanation

Simple Explanation

शर्त (30+5t=54+3t+6) है। इससे (2t=30) और (t=15) मिलता है। / The condition is (30+5t=54+3t+6). This gives (2t=30) and (t=15).

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Question 148/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (C(t)=200-8t) और (D(t)=70+4t), तो किस (t) पर (C(t)) (D(t)) से (10) कम होगा?

If (C(t)=200-8t) and (D(t)=70+4t), at what (t) will (C(t)) be (10) less than (D(t))?

Explanation opens after your attempt
Correct Answer

C. (t=12)

Explanation

Simple Explanation

शर्त (200-8t=70+4t-10) है। इससे (140=12t) नहीं बल्कि \(t=\frac{35}{3}\) आता है इसलिए कोई विकल्प सही नहीं है। / The condition is (200-8t=70+4t-10). It gives (140=12t), so \(t=\frac{35}{3}\), hence no option is correct.

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Question 149/150 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (f(t)=a+6t) और (f(1), f(5), f(9)) का योग (180) है, तो (a) क्या है?

If (f(t)=a+6t) and the sum of (f(1), f(5), f(9)) is (180), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (30)

Explanation

Simple Explanation

योग ((a+6)+(a+30)+(a+54)=3a+90) है। (3a+90=180) से (a=30) है। / The sum is ((a+6)+(a+30)+(a+54)=3a+90). From (3a+90=180), (a=30).

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

यदि (g(t)=b-5t) और (g(2), g(6), g(10)) का योग (210) है, तो (b) क्या है?

If (g(t)=b-5t) and the sum of (g(2), g(6), g(10)) is (210), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (100)

Explanation

Simple Explanation

योग ((b-10)+(b-30)+(b-50)=3b-90) है। (3b-90=210) से (b=100) है। / The sum is ((b-10)+(b-30)+(b-50)=3b-90). From (3b-90=210), (b=100).

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