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Mathematics Quiz - Class 9 Mathematics Expert Level 36 Quiz

Question 1/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

The rate is \(\frac{76-31}{7-2}=9\). From (31=a+9(2)), (a=13).

Step 2

Why this answer is correct

The correct answer is A. (H(t)=13+9t). The rate is \(\frac{76-31}{7-2}=9\). From (31=a+9(2)), (a=13).

Step 3

Exam Tip

दर \(\frac{76-31}{7-2}=9\) है। (31=a+9(2)) से (a=13) मिलता है।

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Question 2/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

The rate is \(\frac{114-186}{9-3}=-12\). From (186=a-12(3)), (a=222).

Step 2

Why this answer is correct

The correct answer is B. (W(t)=222-12t). The rate is \(\frac{114-186}{9-3}=-12\). From (186=a-12(3)), (a=222).

Step 3

Exam Tip

दर \(\frac{114-186}{9-3}=-12\) है। (186=a-12(3)) से (a=222) मिलता है।

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Question 3/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (t=8)

Step 1

Concept

For equality set (48+11t=168-4t). This gives (15t=120) and (t=8).

Step 2

Why this answer is correct

The correct answer is C. (t=8). For equality set (48+11t=168-4t). This gives (15t=120) and (t=8).

Step 3

Exam Tip

बराबरी के लिए (48+11t=168-4t) रखें। इससे (15t=120) और (t=8) मिलता है।

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Question 4/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (t=8)

Step 1

Concept

From (70+5t=190-10t), (15t=120). Therefore (t=8) is correct.

Step 2

Why this answer is correct

The correct answer is B. (t=8). From (70+5t=190-10t), (15t=120). Therefore (t=8) is correct.

Step 3

Exam Tip

(70+5t=190-10t) से (15t=120) 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 36

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

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

Explanation opens after your attempt

Correct Answer

D. (160)

Step 1

Concept

From (a+39=82), (a=43). Then (f(9)=43+117=160).

Step 2

Why this answer is correct

The correct answer is D. (160). From (a+39=82), (a=43). Then (f(9)=43+117=160).

Step 3

Exam Tip

(a+39=82) से (a=43) मिलता है। फिर (f(9)=43+117=160) है।

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Question 6/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

A. (22)

Step 1

Concept

From (b-56=120), (b=176). Therefore (g(11)=176-154=22).

Step 2

Why this answer is correct

The correct answer is A. (22). From (b-56=120), (b=176). Therefore (g(11)=176-154=22).

Step 3

Exam Tip

(b-56=120) से (b=176) है। इसलिए (g(11)=176-154=22) है।

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Question 7/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (38)

Step 1

Concept

The change in (x) is (10-2=8). The total increase is \(4.75\times8=38\).

Step 2

Why this answer is correct

The correct answer is C. (38). The change in (x) is (10-2=8). The total increase is \(4.75\times8=38\).

Step 3

Exam Tip

(x) में परिवर्तन (10-2=8) है। कुल वृद्धि \(4.75\times8=38\) है।

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Question 8/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (50)

Step 1

Concept

The change in (x) is (13-5=8). The total decrease is \(6.25\times8=50\).

Step 2

Why this answer is correct

The correct answer is B. (50). The change in (x) is (13-5=8). The total decrease is \(6.25\times8=50\).

Step 3

Exam Tip

(x) में परिवर्तन (13-5=8) है। कुल कमी \(6.25\times8=50\) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

The increase per step is \(\frac{158-74}{12-5}=12\). In a linear model the rate remains constant.

Step 2

Why this answer is correct

The correct answer is C. (12). The increase per step is \(\frac{158-74}{12-5}=12\). In a linear model the rate remains constant.

Step 3

Exam Tip

प्रति चरण वृद्धि \(\frac{158-74}{12-5}=12\) 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 36

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

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

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

The total decrease is (232-106=126) and there are (9) steps. The decrease per step is \(\frac{126}{9}=14\).

Step 2

Why this answer is correct

The correct answer is B. (14). The total decrease is (232-106=126) and there are (9) steps. The decrease per step is \(\frac{126}{9}=14\).

Step 3

Exam Tip

कुल कमी (232-106=126) और चरण (9) हैं। प्रति चरण कमी \(\frac{126}{9}=14\) है।

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Question 11/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (14)

Step 1

Concept

(C(11)-C(5)=k(11-5)=6k). From (6k=84), (k=14).

Step 2

Why this answer is correct

The correct answer is C. (14). (C(11)-C(5)=k(11-5)=6k). From (6k=84), (k=14).

Step 3

Exam Tip

(C(11)-C(5)=k(11-5)=6k) है। (6k=84) से (k=14) मिलता है।

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Question 12/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

(D(4)-D(12)=k(12-4)=8k). From (8k=104), (k=13).

Step 2

Why this answer is correct

The correct answer is C. (13). (D(4)-D(12)=k(12-4)=8k). From (8k=104), (k=13).

Step 3

Exam Tip

(D(4)-D(12)=k(12-4)=8k) है। (8k=104) से (k=13) मिलता है।

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Question 13/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (64)

Step 1

Concept

The variable difference is ((x+6)-(x-2)=8). With rate (8), the difference is (64).

Step 2

Why this answer is correct

The correct answer is C. (64). The variable difference is ((x+6)-(x-2)=8). With rate (8), the difference is (64).

Step 3

Exam Tip

चर में अंतर ((x+6)-(x-2)=8) है। दर (8) होने से अंतर (64) है।

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Question 14/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (72)

Step 1

Concept

Over ((x+1)-(x-5)=6) steps the value decreases by \(12\times6=72\). So the difference is (72).

Step 2

Why this answer is correct

The correct answer is C. (72). Over ((x+1)-(x-5)=6) steps the value decreases by \(12\times6=72\). So the difference is (72).

Step 3

Exam Tip

((x+1)-(x-5)=6) चरणों में मान \(12\times6=72\) घटता है। इसलिए अंतर (72) है।

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Question 15/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (9)

Step 1

Concept

From (P(3)=96), (p=54). From (54+14s=180), (s=9).

Step 2

Why this answer is correct

The correct answer is B. (9). From (P(3)=96), (p=54). From (54+14s=180), (s=9).

Step 3

Exam Tip

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

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Question 16/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

A. (10)

Step 1

Concept

From (R(4)=128), (r=188). From (188-15s=38), (s=10).

Step 2

Why this answer is correct

The correct answer is A. (10). From (R(4)=128), (r=188). From (188-15s=38), (s=10).

Step 3

Exam Tip

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

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Question 17/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

A. (y=27+11x)

Step 1

Concept

The rate is (11), and (a+11(5)=82) gives (a=27). So (y=27+11x) is correct.

Step 2

Why this answer is correct

The correct answer is A. (y=27+11x). The rate is (11), and (a+11(5)=82) gives (a=27). So (y=27+11x) is correct.

Step 3

Exam Tip

दर (11) है और (a+11(5)=82) से (a=27) मिलता है। इसलिए (y=27+11x) सही है।

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Question 18/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (y=149-13x)

Step 1

Concept

The rate is (-13), and (a-13(6)=71) gives (a=149). So (y=149-13x) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=149-13x). The rate is (-13), and (a-13(6)=71) gives (a=149). So (y=149-13x) is correct.

Step 3

Exam Tip

दर (-13) है और (a-13(6)=71) से (a=149) मिलता है। इसलिए (y=149-13x) सही है।

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Question 19/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (t=9)

Step 1

Concept

The condition is (M(t)=N(t)+18). From (80+7t=188-5t), (12t=108) and (t=9).

Step 2

Why this answer is correct

The correct answer is B. (t=9). The condition is (M(t)=N(t)+18). From (80+7t=188-5t), (12t=108) and (t=9).

Step 3

Exam Tip

शर्त (M(t)=N(t)+18) है। (80+7t=188-5t) से (12t=108) और (t=9) मिलता है।

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Question 20/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (t=11)

Step 1

Concept

The condition is (240-11t=60+4t+15). This gives (165=15t) and (t=11).

Step 2

Why this answer is correct

The correct answer is C. (t=11). The condition is (240-11t=60+4t+15). This gives (165=15t) and (t=11).

Step 3

Exam Tip

शर्त (240-11t=60+4t+15) है। इससे (165=15t) और (t=11) मिलता है।

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Question 21/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

(F(12)-F(4)=8r). From (8r=96), (r=12).

Step 2

Why this answer is correct

The correct answer is C. (12). (F(12)-F(4)=8r). From (8r=96), (r=12).

Step 3

Exam Tip

(F(12)-F(4)=8r) है। (8r=96) से (r=12) मिलता है।

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Question 22/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

(G(3)-G(11)=8r). From (8r=104), (r=13).

Step 2

Why this answer is correct

The correct answer is C. (13). (G(3)-G(11)=8r). From (8r=104), (r=13).

Step 3

Exam Tip

(G(3)-G(11)=8r) है। (8r=104) से (r=13) मिलता है।

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Question 23/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (410)

Step 1

Concept

From (a+100=210), (a=110). (P(12)=110+300=410).

Step 2

Why this answer is correct

The correct answer is C. (410). From (a+100=210), (a=110). (P(12)=110+300=410).

Step 3

Exam Tip

(a+100=210) से (a=110) है। (P(12)=110+300=410) है।

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Question 24/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

A. (24800)

Step 1

Concept

From (c-16000=44000), (c=60000). (V(11)=60000-35200=24800).

Step 2

Why this answer is correct

The correct answer is A. (24800). From (c-16000=44000), (c=60000). (V(11)=60000-35200=24800).

Step 3

Exam Tip

(c-16000=44000) से (c=60000) है। (V(11)=60000-35200=24800) है।

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Question 25/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (x=7)

Step 1

Concept

The condition is (42+7x=13x). This gives (42=6x) and (x=7).

Step 2

Why this answer is correct

The correct answer is C. (x=7). The condition is (42+7x=13x). This gives (42=6x) and (x=7).

Step 3

Exam Tip

शर्त (42+7x=13x) है। इससे (42=6x) और (x=7) मिलता है।

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Question 26/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (x=14)

Step 1

Concept

The condition is (210-12x=3x). This gives (210=15x) and (x=14).

Step 2

Why this answer is correct

The correct answer is B. (x=14). The condition is (210-12x=3x). This gives (210=15x) and (x=14).

Step 3

Exam Tip

शर्त (210-12x=3x) है। इससे (210=15x) और (x=14) मिलता है।

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Question 27/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (18t)

Step 1

Concept

(L(5t)=30t+31) and (L(2t)=12t+31). The difference is (18t).

Step 2

Why this answer is correct

The correct answer is C. (18t). (L(5t)=30t+31) and (L(2t)=12t+31). The difference is (18t).

Step 3

Exam Tip

(L(5t)=30t+31) और (L(2t)=12t+31) है। अंतर (18t) है।

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Question 28/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (32t)

Step 1

Concept

(K(2t)=280-16t) and (K(6t)=280-48t). The difference is (32t).

Step 2

Why this answer is correct

The correct answer is C. (32t). (K(2t)=280-16t) and (K(6t)=280-48t). The difference is (32t).

Step 3

Exam Tip

(K(2t)=280-16t) और (K(6t)=280-48t) है। अंतर (32t) है।

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Question 29/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (46)

Step 1

Concept

(Y(4)+Y(10)=(a+36)+(a+90)=2a+126). From (2a+126=218), (a=46).

Step 2

Why this answer is correct

The correct answer is B. (46). (Y(4)+Y(10)=(a+36)+(a+90)=2a+126). From (2a+126=218), (a=46).

Step 3

Exam Tip

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

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Question 30/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (140)

Step 1

Concept

(Z(3)+Z(8)=(b-36)+(b-96)=2b-132). From (2b-132=148), (b=140).

Step 2

Why this answer is correct

The correct answer is C. (140). (Z(3)+Z(8)=(b-36)+(b-96)=2b-132). From (2b-132=148), (b=140).

Step 3

Exam Tip

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

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Question 31/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (x=13)

Step 1

Concept

Setting (44+8x=12x-8) gives (52=4x). Therefore (x=13).

Step 2

Why this answer is correct

The correct answer is C. (x=13). Setting (44+8x=12x-8) gives (52=4x). Therefore (x=13).

Step 3

Exam Tip

(44+8x=12x-8) रखने पर (52=4x) 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 36

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

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

Explanation opens after your attempt

Correct Answer

D. (x=12)

Step 1

Concept

From (260-15x=68+3x), (192=18x), so \(x=\frac{32}{3}\). None of the given options is valid.

Step 2

Why this answer is correct

The correct answer is D. (x=12). From (260-15x=68+3x), (192=18x), so \(x=\frac{32}{3}\). None of the given options is valid.

Step 3

Exam Tip

(260-15x=68+3x) से (192=18x) नहीं बल्कि \(x=\frac{32}{3}\) मिलता है। दिए गए विकल्पों में (x=12) रखने पर बराबरी नहीं होती।

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Question 33/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (k>9)

Step 1

Concept

For linear growth the coefficient of (x) must be positive. From (k-9>0), (k>9).

Step 2

Why this answer is correct

The correct answer is C. (k>9). For linear growth the coefficient of (x) must be positive. From (k-9>0), (k>9).

Step 3

Exam Tip

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-9>0) से (k>9) मिलता है।

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Question 34/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

A. (k>6)

Step 1

Concept

For decay the effective coefficient must be negative. From (-(k-6)<0), (k>6).

Step 2

Why this answer is correct

The correct answer is A. (k>6). For decay the effective coefficient must be negative. From (-(k-6)<0), (k>6).

Step 3

Exam Tip

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-6)<0) से (k>6) मिलता है।

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Question 35/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (110)

Step 1

Concept

Here (R(0)=110) is directly the initial value. The difference gives (m=15), but the initial value remains the same.

Step 2

Why this answer is correct

The correct answer is C. (110). Here (R(0)=110) is directly the initial value. The difference gives (m=15), but the initial value remains the same.

Step 3

Exam Tip

यहां (R(0)=110) सीधे आरंभिक मान है। अंतर से (m=15) 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 36

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

(S(5)-S(13)=(s^-55)-(s^-143)=88). 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(5)-S(13)=(s^-55)-(s^-143)=88). Therefore (s) can be any value.

Step 3

Exam Tip

(S(5)-S(13)=(s^-55)-(s^-143)=88) 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 36

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

(B(t)-A(t)=33+6t). Its coefficient is (6), so the difference increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (6) बढ़ता है / It increases by (6) each step. (B(t)-A(t)=33+6t). Its coefficient is (6), so the difference increases.

Step 3

Exam Tip

(B(t)-A(t)=33+6t) है। इसका गुणांक (6) है इसलिए अंतर बढ़ता है।

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Question 38/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

(C(t)-D(t)=100+9t). Therefore the difference of the two decay models increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (9) बढ़ता है / It increases by (9) each step. (C(t)-D(t)=100+9t). Therefore the difference of the two decay models increases.

Step 3

Exam Tip

(C(t)-D(t)=100+9t) 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 36

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

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

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

The total increase is \(20\Delta x\). From \(20\Delta x=160\), \(\Delta x=8\).

Step 2

Why this answer is correct

The correct answer is C. (8). The total increase is \(20\Delta x\). From \(20\Delta x=160\), \(\Delta x=8\).

Step 3

Exam Tip

कुल वृद्धि \(20\Delta x\) होगी। \(20\Delta x=160\) से \(\Delta x=8\) मिलता है।

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Question 40/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The total decrease is \(25\Delta x\). From \(25\Delta x=175\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is C. (7). The total decrease is \(25\Delta x\). From \(25\Delta x=175\), \(\Delta x=7\).

Step 3

Exam Tip

कुल कमी \(25\Delta x\) होगी। \(25\Delta x=175\) 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 36

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

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

Explanation opens after your attempt

Correct Answer

B. (x=5)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is B. (x=5). (f(4x)-f(x)=(40x+35)-(10x+35)=30x). From (30x=150), (x=5).

Step 3

Exam Tip

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

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Question 42/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (x=3)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is B. (x=3). (g(x)-g(5x)=(300-15x)-(300-75x)=60x). From (60x=180), (x=3).

Step 3

Exam Tip

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

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Question 43/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (P(12))

Step 1

Concept

In a linear model the midpoint of (6) and (18) is (12). Therefore (P(6)+P(18)=2P(12)).

Step 2

Why this answer is correct

The correct answer is C. (P(12)). In a linear model the midpoint of (6) and (18) is (12). Therefore (P(6)+P(18)=2P(12)).

Step 3

Exam Tip

रेखीय मॉडल में (6) और (18) का मध्य (12) है। इसलिए (P(6)+P(18)=2P(12)) होता है।

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Question 44/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (Q(11))

Step 1

Concept

In a linear model the midpoint of (5) and (17) is (11). Therefore (Q(5)+Q(17)=2Q(11)).

Step 2

Why this answer is correct

The correct answer is C. (Q(11)). In a linear model the midpoint of (5) and (17) is (11). Therefore (Q(5)+Q(17)=2Q(11)).

Step 3

Exam Tip

रेखीय मॉडल में (5) और (17) का मध्य (11) है। इसलिए (Q(5)+Q(17)=2Q(11)) होता है।

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Question 45/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (15)

Step 1

Concept

The change in (x) is (8). From (8a=120), (a=15).

Step 2

Why this answer is correct

The correct answer is C. (15). The change in (x) is (8). From (8a=120), (a=15).

Step 3

Exam Tip

(x) में परिवर्तन (8) है। (8a=120) से (a=15) मिलता है।

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Question 46/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (17)

Step 1

Concept

The change in (x) is (8). The total decrease is (8b=136), so (b=17).

Step 2

Why this answer is correct

The correct answer is C. (17). The change in (x) is (8). The total decrease is (8b=136), so (b=17).

Step 3

Exam Tip

(x) में परिवर्तन (8) है। कुल कमी (8b=136) है इसलिए (b=17) है।

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Question 47/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (t=16)

Step 1

Concept

The condition is (50+7t=92+4t+6). This gives (3t=48) and (t=16).

Step 2

Why this answer is correct

The correct answer is C. (t=16). The condition is (50+7t=92+4t+6). This gives (3t=48) and (t=16).

Step 3

Exam Tip

शर्त (50+7t=92+4t+6) है। इससे (3t=48) और (t=16) मिलता है।

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Question 48/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (t=14)

Step 1

Concept

The condition is (310-12t=70+6t-6). This gives (246=18t), so \(t=\frac{41}{3}\), and none of the options is correct.

Step 2

Why this answer is correct

The correct answer is C. (t=14). The condition is (310-12t=70+6t-6). This gives (246=18t), so \(t=\frac{41}{3}\), and none of the options is correct.

Step 3

Exam Tip

शर्त (310-12t=70+6t-6) है। इससे (246=18t) नहीं बल्कि \(t=\frac{41}{3}\) मिलता है इसलिए कोई विकल्प सही नहीं है।

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Question 49/50 Expert Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (40)

Step 1

Concept

The sum is ((a+16)+(a+48)+(a+80)=3a+144). From (3a+144=252), (a=36), which is not in the options.

Step 2

Why this answer is correct

The correct answer is B. (40). The sum is ((a+16)+(a+48)+(a+80)=3a+144). From (3a+144=252), (a=36), which is not in the options.

Step 3

Exam Tip

योग ((a+16)+(a+48)+(a+80)=3a+144) है। (3a+144=252) से (a=36) मिलता है जो विकल्पों में नहीं है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (142)

Step 1

Concept

The sum is ((b-28)+(b-56)+(b-84)=3b-168). From (3b-168=258), (b=142).

Step 2

Why this answer is correct

The correct answer is C. (142). The sum is ((b-28)+(b-56)+(b-84)=3b-168). From (3b-168=258), (b=142).

Step 3

Exam Tip

योग ((b-28)+(b-56)+(b-84)=3b-168) है। (3b-168=258) से (b=142) है।

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Class 9 Mathematics Expert Quiz

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct