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Mathematics Quiz - Class 9 Mathematics Expert Level 35 Quiz

Question 1/50 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)

Step 1

Concept

The rate is \(\frac{82-34}{9-3}=8\). From (34=a+8(3)), (a=10).

Step 2

Why this answer is correct

The correct answer is A. (H(t)=10+8t). The rate is \(\frac{82-34}{9-3}=8\). From (34=a+8(3)), (a=10).

Step 3

Exam Tip

दर \(\frac{82-34}{9-3}=8\) है। (34=a+8(3)) से (a=10) मिलता है।

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Question 2/50 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)

Step 1

Concept

The rate is \(\frac{104-164}{8-2}=-10\). From (164=a-10(2)), (a=184).

Step 2

Why this answer is correct

The correct answer is B. (W(t)=184-10t). The rate is \(\frac{104-164}{8-2}=-10\). From (164=a-10(2)), (a=184).

Step 3

Exam Tip

दर \(\frac{104-164}{8-2}=-10\) है। (164=a-10(2)) से (a=184) मिलता है।

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Question 3/50 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)

Step 1

Concept

For equality set (36+9t=126-6t). This gives (15t=90) and (t=6).

Step 2

Why this answer is correct

The correct answer is C. (t=6). For equality set (36+9t=126-6t). This gives (15t=90) and (t=6).

Step 3

Exam Tip

बराबरी के लिए (36+9t=126-6t) रखें। इससे (15t=90) और (t=6) मिलता है।

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Question 4/50 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)

Step 1

Concept

From (52+4t=148-8t), (12t=96). Therefore (t=8) is correct.

Step 2

Why this answer is correct

The correct answer is B. (t=8). From (52+4t=148-8t), (12t=96). Therefore (t=8) is correct.

Step 3

Exam Tip

(52+4t=148-8t) से (12t=96) होता है। इसलिए (t=8) सही है।

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Question 5/50 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)

Step 1

Concept

From (a+48=95), (a=47). Then (f(10)=47+120=167).

Step 2

Why this answer is correct

The correct answer is C. (167). From (a+48=95), (a=47). Then (f(10)=47+120=167).

Step 3

Exam Tip

(a+48=95) से (a=47) मिलता है। फिर (f(10)=47+120=167) है।

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Question 6/50 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)

Step 1

Concept

From (b-55=103), (b=158). Therefore (g(12)=158-132=26).

Step 2

Why this answer is correct

The correct answer is A. (26). From (b-55=103), (b=158). Therefore (g(12)=158-132=26).

Step 3

Exam Tip

(b-55=103) से (b=158) है। इसलिए (g(12)=158-132=26) है।

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Question 7/50 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)

Step 1

Concept

The change in (x) is (14-2=12). The total increase is \(3.25\times12=39\).

Step 2

Why this answer is correct

The correct answer is B. (39). The change in (x) is (14-2=12). The total increase is \(3.25\times12=39\).

Step 3

Exam Tip

(x) में परिवर्तन (14-2=12) है। कुल वृद्धि \(3.25\times12=39\) है।

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Question 8/50 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)

Step 1

Concept

The change in (x) is (16-4=12). The total decrease is \(4.5\times12=54\).

Step 2

Why this answer is correct

The correct answer is C. (54). The change in (x) is (16-4=12). The total decrease is \(4.5\times12=54\).

Step 3

Exam Tip

(x) में परिवर्तन (16-4=12) है। कुल कमी \(4.5\times12=54\) है।

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Question 9/50 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)

Step 1

Concept

The increase per step is \(\frac{135-58}{11-4}=11\). In a linear model the rate remains constant.

Step 2

Why this answer is correct

The correct answer is C. (11). The increase per step is \(\frac{135-58}{11-4}=11\). In a linear model the rate remains constant.

Step 3

Exam Tip

प्रति चरण वृद्धि \(\frac{135-58}{11-4}=11\) है। रेखीय मॉडल में दर स्थिर रहती है।

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Question 10/50 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)

Step 1

Concept

The total decrease is (205-97=108) and there are (9) steps. The decrease per step is \(\frac{108}{9}=12\).

Step 2

Why this answer is correct

The correct answer is B. (12). The total decrease is (205-97=108) and there are (9) steps. The decrease per step is \(\frac{108}{9}=12\).

Step 3

Exam Tip

कुल कमी (205-97=108) और चरण (9) हैं। प्रति चरण कमी \(\frac{108}{9}=12\) है।

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Question 11/50 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)

Step 1

Concept

(C(10)-C(4)=k(10-4)=6k). From (6k=72), (k=12).

Step 2

Why this answer is correct

The correct answer is C. (12). (C(10)-C(4)=k(10-4)=6k). From (6k=72), (k=12).

Step 3

Exam Tip

(C(10)-C(4)=k(10-4)=6k) है। (6k=72) से (k=12) मिलता है।

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Question 12/50 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)

Step 1

Concept

(D(5)-D(13)=k(13-5)=8k). From (8k=96), (k=12).

Step 2

Why this answer is correct

The correct answer is C. (12). (D(5)-D(13)=k(13-5)=8k). From (8k=96), (k=12).

Step 3

Exam Tip

(D(5)-D(13)=k(13-5)=8k) है। (8k=96) से (k=12) मिलता है।

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Question 13/50 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)

Step 1

Concept

The variable difference is ((x+5)-(x-3)=8). With rate (7), the difference is (56).

Step 2

Why this answer is correct

The correct answer is C. (56). The variable difference is ((x+5)-(x-3)=8). With rate (7), the difference is (56).

Step 3

Exam Tip

चर में अंतर ((x+5)-(x-3)=8) है। दर (7) होने से अंतर (56) है।

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Question 14/50 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)

Step 1

Concept

Over ((x+3)-(x-4)=7) steps the value decreases by \(9\times7=63\). So the difference is (63).

Step 2

Why this answer is correct

The correct answer is B. (63). Over ((x+3)-(x-4)=7) steps the value decreases by \(9\times7=63\). So the difference is (63).

Step 3

Exam Tip

((x+3)-(x-4)=7) चरणों में मान \(9\times7=63\) घटता है। इसलिए अंतर (63) है।

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Question 15/50 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)

Step 1

Concept

From (P(4)=92), (p=52). From (52+10s=152), (s=10).

Step 2

Why this answer is correct

The correct answer is C. (10). From (P(4)=92), (p=52). From (52+10s=152), (s=10).

Step 3

Exam Tip

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

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Question 16/50 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)

Step 1

Concept

From (R(3)=134), (r=170). From (170-12s=50), (s=10).

Step 2

Why this answer is correct

The correct answer is C. (10). From (R(3)=134), (r=170). From (170-12s=50), (s=10).

Step 3

Exam Tip

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

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Question 17/50 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)

Step 1

Concept

The rate is (9), and (a+9(4)=61) gives (a=25). So (y=25+9x) is correct.

Step 2

Why this answer is correct

The correct answer is A. (y=25+9x). The rate is (9), and (a+9(4)=61) gives (a=25). So (y=25+9x) is correct.

Step 3

Exam Tip

दर (9) है और (a+9(4)=61) से (a=25) मिलता है। इसलिए (y=25+9x) सही है।

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Question 18/50 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)

Step 1

Concept

The rate is (-7), and (a-7(8)=94) gives (a=150). So (y=150-7x) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=150-7x). The rate is (-7), and (a-7(8)=94) gives (a=150). So (y=150-7x) is correct.

Step 3

Exam Tip

दर (-7) है और (a-7(8)=94) से (a=150) मिलता है। इसलिए (y=150-7x) सही है।

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Question 19/50 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)

Step 1

Concept

The condition is (M(t)=N(t)+20). From (62+5t=162-5t), (10t=100) and (t=10).

Step 2

Why this answer is correct

The correct answer is C. (t=10). The condition is (M(t)=N(t)+20). From (62+5t=162-5t), (10t=100) and (t=10).

Step 3

Exam Tip

शर्त (M(t)=N(t)+20) है। (62+5t=162-5t) से (10t=100) और (t=10) मिलता है।

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Question 20/50 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)

Step 1

Concept

The condition is (190-8t=46+4t+12). This gives (132=12t) and (t=11).

Step 2

Why this answer is correct

The correct answer is C. (t=11). The condition is (190-8t=46+4t+12). This gives (132=12t) and (t=11).

Step 3

Exam Tip

शर्त (190-8t=46+4t+12) है। इससे (132=12t) और (t=11) मिलता है।

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Question 21/50 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)

Step 1

Concept

(F(11)-F(3)=8r). From (8r=80), (r=10).

Step 2

Why this answer is correct

The correct answer is C. (10). (F(11)-F(3)=8r). From (8r=80), (r=10).

Step 3

Exam Tip

(F(11)-F(3)=8r) है। (8r=80) से (r=10) मिलता है।

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Question 22/50 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)

Step 1

Concept

(G(4)-G(13)=9r). From (9r=99), (r=11).

Step 2

Why this answer is correct

The correct answer is C. (11). (G(4)-G(13)=9r). From (9r=99), (r=11).

Step 3

Exam Tip

(G(4)-G(13)=9r) है। (9r=99) से (r=11) मिलता है।

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Question 23/50 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)

Step 1

Concept

From (a+120=230), (a=110). (P(13)=110+260=370).

Step 2

Why this answer is correct

The correct answer is C. (370). From (a+120=230), (a=110). (P(13)=110+260=370).

Step 3

Exam Tip

(a+120=230) से (a=110) है। (P(13)=110+260=370) है।

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Question 24/50 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)

Step 1

Concept

From (c-10000=38000), (c=48000). (V(10)=48000-25000=23000).

Step 2

Why this answer is correct

The correct answer is A. (23000). From (c-10000=38000), (c=48000). (V(10)=48000-25000=23000).

Step 3

Exam Tip

(c-10000=38000) से (c=48000) है। (V(10)=48000-25000=23000) है।

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Question 25/50 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)

Step 1

Concept

The condition is (30+6x=11x). This gives (30=5x) and (x=6).

Step 2

Why this answer is correct

The correct answer is C. (x=6). The condition is (30+6x=11x). This gives (30=5x) and (x=6).

Step 3

Exam Tip

शर्त (30+6x=11x) है। इससे (30=5x) और (x=6) मिलता है।

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Question 26/50 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)

Step 1

Concept

The condition is (168-10x=4x). This gives (168=14x) and (x=12).

Step 2

Why this answer is correct

The correct answer is B. (x=12). The condition is (168-10x=4x). This gives (168=14x) and (x=12).

Step 3

Exam Tip

शर्त (168-10x=4x) है। इससे (168=14x) और (x=12) मिलता है।

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Question 27/50 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)

Step 1

Concept

(L(4t)=20t+23) and (L(t)=5t+23). The difference is (15t).

Step 2

Why this answer is correct

The correct answer is C. (15t). (L(4t)=20t+23) and (L(t)=5t+23). The difference is (15t).

Step 3

Exam Tip

(L(4t)=20t+23) और (L(t)=5t+23) है। अंतर (15t) है।

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Question 28/50 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)

Step 1

Concept

(K(2t)=210-14t) and (K(5t)=210-35t). The difference is (21t).

Step 2

Why this answer is correct

The correct answer is B. (21t). (K(2t)=210-14t) and (K(5t)=210-35t). The difference is (21t).

Step 3

Exam Tip

(K(2t)=210-14t) और (K(5t)=210-35t) है। अंतर (21t) है।

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Question 29/50 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)

Step 1

Concept

(Y(3)+Y(9)=(a+24)+(a+72)=2a+96). From (2a+96=180), (a=42).

Step 2

Why this answer is correct

The correct answer is B. (42). (Y(3)+Y(9)=(a+24)+(a+72)=2a+96). From (2a+96=180), (a=42).

Step 3

Exam Tip

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

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Question 30/50 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)

Step 1

Concept

(Z(2)+Z(7)=(b-20)+(b-70)=2b-90). From (2b-90=130), (b=110).

Step 2

Why this answer is correct

The correct answer is C. (110). (Z(2)+Z(7)=(b-20)+(b-70)=2b-90). From (2b-90=130), (b=110).

Step 3

Exam Tip

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

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Question 31/50 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)

Step 1

Concept

Setting (35+7x=10x-4) gives (39=3x). Therefore (x=13).

Step 2

Why this answer is correct

The correct answer is C. (x=13). Setting (35+7x=10x-4) gives (39=3x). Therefore (x=13).

Step 3

Exam Tip

(35+7x=10x-4) रखने पर (39=3x) मिलता है। इसलिए (x=13) है।

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Question 32/50 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)

Step 1

Concept

From (220-12x=76+4x), (144=16x) and (x=9). Equate the growth and decay models.

Step 2

Why this answer is correct

The correct answer is C. (x=9). From (220-12x=76+4x), (144=16x) and (x=9). Equate the growth and decay models.

Step 3

Exam Tip

(220-12x=76+4x) से (144=16x) और (x=9) है। वृद्धि और क्षय मॉडल को बराबर करें।

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Question 33/50 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)

Step 1

Concept

For linear growth the coefficient of (x) must be positive. From (k-7>0), (k>7).

Step 2

Why this answer is correct

The correct answer is C. (k>7). For linear growth the coefficient of (x) must be positive. From (k-7>0), (k>7).

Step 3

Exam Tip

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-7>0) से (k>7) मिलता है।

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Question 34/50 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)

Step 1

Concept

For decay the effective coefficient must be negative. From (-(k-4)<0), (k>4).

Step 2

Why this answer is correct

The correct answer is A. (k>4). For decay the effective coefficient must be negative. From (-(k-4)<0), (k>4).

Step 3

Exam Tip

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-4)<0) से (k>4) मिलता है।

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Question 35/50 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)

Step 1

Concept

Here (R(0)=90) is directly the initial value. The difference gives (m=13), but the initial value remains the same.

Step 2

Why this answer is correct

The correct answer is C. (90). Here (R(0)=90) is directly the initial value. The difference gives (m=13), but the initial value remains the same.

Step 3

Exam Tip

यहां (R(0)=90) सीधे आरंभिक मान है। अंतर से (m=13) मिलता है पर आरंभिक मान वही रहता है।

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Question 36/50 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)

Step 1

Concept

(S(4)-S(12)=(s^-36)-(s^-108)=72). Therefore (s) can be any value.

Step 2

Why this answer is correct

The correct answer is A. हर (s) के लिए शर्त सही है / The condition is true for every (s). (S(4)-S(12)=(s^-36)-(s^-108)=72). Therefore (s) can be any value.

Step 3

Exam Tip

(S(4)-S(12)=(s^-36)-(s^-108)=72) है। इसलिए (s) कोई भी हो सकता है।

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Question 37/50 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

Step 1

Concept

(B(t)-A(t)=26+5t). Its coefficient is (5), so the difference increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (5) बढ़ता है / It increases by (5) each step. (B(t)-A(t)=26+5t). Its coefficient is (5), so the difference increases.

Step 3

Exam Tip

(B(t)-A(t)=26+5t) है। इसका गुणांक (5) है इसलिए अंतर बढ़ता है।

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Question 38/50 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

Step 1

Concept

(C(t)-D(t)=80+7t). Therefore the difference of the two decay models increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (7) बढ़ता है / It increases by (7) each step. (C(t)-D(t)=80+7t). Therefore the difference of the two decay models increases.

Step 3

Exam Tip

(C(t)-D(t)=80+7t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है।

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Question 39/50 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)

Step 1

Concept

The total increase is \(16\Delta x\). From \(16\Delta x=112\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is C. (7). The total increase is \(16\Delta x\). From \(16\Delta x=112\), \(\Delta x=7\).

Step 3

Exam Tip

कुल वृद्धि \(16\Delta x\) होगी। \(16\Delta x=112\) से \(\Delta x=7\) मिलता है।

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Question 40/50 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)

Step 1

Concept

The total decrease is \(22\Delta x\). From \(22\Delta x=154\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is C. (7). The total decrease is \(22\Delta x\). From \(22\Delta x=154\), \(\Delta x=7\).

Step 3

Exam Tip

कुल कमी \(22\Delta x\) होगी। \(22\Delta x=154\) से \(\Delta x=7\) मिलता है।

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Question 41/50 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)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is B. (x=6). (f(3x)-f(x)=(27x+28)-(9x+28)=18x). From (18x=108), (x=6).

Step 3

Exam Tip

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

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Question 42/50 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)

Step 1

Concept

(g(x)-g(4x)=(240-12x)-(240-48x)=36x). From (36x=144), (x=4).

Step 2

Why this answer is correct

The correct answer is B. (x=4). (g(x)-g(4x)=(240-12x)-(240-48x)=36x). From (36x=144), (x=4).

Step 3

Exam Tip

(g(x)-g(4x)=(240-12x)-(240-48x)=36x) है। (36x=144) से (x=4) है।

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Question 43/50 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))

Step 1

Concept

In a linear model the midpoint of (5) and (15) is (10). Therefore (P(5)+P(15)=2P(10)).

Step 2

Why this answer is correct

The correct answer is C. (P(10)). In a linear model the midpoint of (5) and (15) is (10). Therefore (P(5)+P(15)=2P(10)).

Step 3

Exam Tip

रेखीय मॉडल में (5) और (15) का मध्य (10) है। इसलिए (P(5)+P(15)=2P(10)) होता है।

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Question 44/50 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))

Step 1

Concept

In a linear model the midpoint of (4) and (16) is (10). Therefore (Q(4)+Q(16)=2Q(10)).

Step 2

Why this answer is correct

The correct answer is B. (Q(10)). In a linear model the midpoint of (4) and (16) is (10). Therefore (Q(4)+Q(16)=2Q(10)).

Step 3

Exam Tip

रेखीय मॉडल में (4) और (16) का मध्य (10) है। इसलिए (Q(4)+Q(16)=2Q(10)) होता है।

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Question 45/50 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)

Step 1

Concept

The change in (x) is (8). From (8a=104), (a=13).

Step 2

Why this answer is correct

The correct answer is C. (13). The change in (x) is (8). From (8a=104), (a=13).

Step 3

Exam Tip

(x) में परिवर्तन (8) है। (8a=104) से (a=13) मिलता है।

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Question 46/50 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)

Step 1

Concept

The change in (x) is (8). The total decrease is (8b=120), so (b=15).

Step 2

Why this answer is correct

The correct answer is C. (15). The change in (x) is (8). The total decrease is (8b=120), so (b=15).

Step 3

Exam Tip

(x) में परिवर्तन (8) है। कुल कमी (8b=120) है इसलिए (b=15) है।

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Question 47/50 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)

Step 1

Concept

The condition is (40+6t=76+3t+9). This gives (3t=45) and (t=15).

Step 2

Why this answer is correct

The correct answer is D. (t=15). The condition is (40+6t=76+3t+9). This gives (3t=45) and (t=15).

Step 3

Exam Tip

शर्त (40+6t=76+3t+9) है। इससे (3t=45) और (t=15) मिलता है।

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Question 48/50 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)

Step 1

Concept

The condition is (260-9t=80+5t-12). This gives (192=16t) and (t=12).

Step 2

Why this answer is correct

The correct answer is A. (t=12). The condition is (260-9t=80+5t-12). This gives (192=16t) and (t=12).

Step 3

Exam Tip

शर्त (260-9t=80+5t-12) है। इससे (192=16t) और (t=12) मिलता है।

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Question 49/50 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)

Step 1

Concept

The sum is ((a+14)+(a+42)+(a+70)=3a+126). From (3a+126=225), (a=33), which is not in the options.

Step 2

Why this answer is correct

The correct answer is B. (41). The sum is ((a+14)+(a+42)+(a+70)=3a+126). From (3a+126=225), (a=33), which is not in the options.

Step 3

Exam Tip

योग ((a+14)+(a+42)+(a+70)=3a+126) है। (3a+126=225) से (a=33) नहीं बल्कि विकल्पों में नहीं है।

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Question 50/50 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)

Step 1

Concept

The sum is ((b-18)+(b-42)+(b-66)=3b-126). From (3b-126=234), (b=120), so none of the options is correct.

Step 2

Why this answer is correct

The correct answer is D. (108). The sum is ((b-18)+(b-42)+(b-66)=3b-126). From (3b-126=234), (b=120), so none of the options is correct.

Step 3

Exam Tip

योग ((b-18)+(b-42)+(b-66)=3b-126) है। (3b-126=234) से (b=120) आता है इसलिए विकल्पों में कोई नहीं है।

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Class 9 Mathematics Expert Quiz

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?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct