How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 30 seconds per question for Hard difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.

Mathematics Quiz - Class 9 Mathematics Exploring Algebrai...

Question 1/50 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)

Step 1

Concept

The rate is \(\frac{46-16}{6-1}=6\). From (16=a+6(1)), (a=10).

Step 2

Why this answer is correct

The correct answer is A. (H(t)=10+6t). The rate is \(\frac{46-16}{6-1}=6\). From (16=a+6(1)), (a=10).

Step 3

Exam Tip

दर \(\frac{46-16}{6-1}=6\) है। (16=a+6(1)) से (a=10) मिलता है।

Open Question Page

Question 2/50 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)

Step 1

Concept

The rate is \(\frac{84-138}{8-2}=-9\). From (138=a-9(2)), (a=156).

Step 2

Why this answer is correct

The correct answer is A. (W(t)=156-9t). The rate is \(\frac{84-138}{8-2}=-9\). From (138=a-9(2)), (a=156).

Step 3

Exam Tip

दर \(\frac{84-138}{8-2}=-9\) है। (138=a-9(2)) से (a=156) मिलता है।

Open Question Page

Question 3/50 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)

Step 1

Concept

For equality set (32+7t=86-2t). This gives (9t=54) and (t=6).

Step 2

Why this answer is correct

The correct answer is C. (t=6). For equality set (32+7t=86-2t). This gives (9t=54) and (t=6).

Step 3

Exam Tip

बराबरी के लिए (32+7t=86-2t) रखें। इससे (9t=54) और (t=6) मिलता है।

Open Question Page

Question 4/50 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)

Step 1

Concept

From (55+5t=135-3t), (8t=80). Therefore (t=10) is correct.

Step 2

Why this answer is correct

The correct answer is B. (t=10). From (55+5t=135-3t), (8t=80). Therefore (t=10) is correct.

Step 3

Exam Tip

(55+5t=135-3t) से (8t=80) होता है। इसलिए (t=10) सही है।

Open Question Page

Question 5/50 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)

Step 1

Concept

From (a+27=64), (a=37). Then (f(8)=37+72=109).

Step 2

Why this answer is correct

The correct answer is C. (109). From (a+27=64), (a=37). Then (f(8)=37+72=109).

Step 3

Exam Tip

(a+27=64) से (a=37) मिलता है। फिर (f(8)=37+72=109) है।

Open Question Page

Question 6/50 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)

Step 1

Concept

From (b-32=91), (b=123). Therefore (g(10)=123-80=43).

Step 2

Why this answer is correct

The correct answer is B. (43). From (b-32=91), (b=123). Therefore (g(10)=123-80=43).

Step 3

Exam Tip

(b-32=91) से (b=123) है। इसलिए (g(10)=123-80=43) है।

Open Question Page

Question 7/50 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)

Step 1

Concept

The change in (x) is (12-2=10). The total increase is \(3.5\times10=35\).

Step 2

Why this answer is correct

The correct answer is C. (35). The change in (x) is (12-2=10). The total increase is \(3.5\times10=35\).

Step 3

Exam Tip

(x) में परिवर्तन (12-2=10) है। कुल वृद्धि \(3.5\times10=35\) है।

Open Question Page

Question 8/50 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)

Step 1

Concept

The change in (x) is (16-4=12). The total decrease is \(2.25\times12=27\).

Step 2

Why this answer is correct

The correct answer is C. (27). The change in (x) is (16-4=12). The total decrease is \(2.25\times12=27\).

Step 3

Exam Tip

(x) में परिवर्तन (16-4=12) है। कुल कमी \(2.25\times12=27\) है।

Open Question Page

Question 9/50 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)

Step 1

Concept

The increase per step is \(\frac{87-39}{10-4}=8\). In a linear model the rate remains constant.

Step 2

Why this answer is correct

The correct answer is B. (8). The increase per step is \(\frac{87-39}{10-4}=8\). In a linear model the rate remains constant.

Step 3

Exam Tip

प्रति चरण वृद्धि \(\frac{87-39}{10-4}=8\) है। रेखीय मॉडल में दर स्थिर रहती है।

Open Question Page

Question 10/50 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)

Step 1

Concept

The total decrease is (155-95=60) and there are (6) steps. The decrease per step is \(\frac{60}{6}=10\).

Step 2

Why this answer is correct

The correct answer is C. (10). The total decrease is (155-95=60) and there are (6) steps. The decrease per step is \(\frac{60}{6}=10\).

Step 3

Exam Tip

कुल कमी (155-95=60) और चरण (6) हैं। प्रति चरण कमी \(\frac{60}{6}=10\) है।

Open Question Page

Question 11/50 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)

Step 1

Concept

(C(7)-C(2)=k(7-2)=5k). From (5k=45), (k=9).

Step 2

Why this answer is correct

The correct answer is C. (9). (C(7)-C(2)=k(7-2)=5k). From (5k=45), (k=9).

Step 3

Exam Tip

(C(7)-C(2)=k(7-2)=5k) है। (5k=45) से (k=9) मिलता है।

Open Question Page

Question 12/50 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)

Step 1

Concept

(D(4)-D(11)=k(11-4)=7k). From (7k=63), (k=9).

Step 2

Why this answer is correct

The correct answer is C. (9). (D(4)-D(11)=k(11-4)=7k). From (7k=63), (k=9).

Step 3

Exam Tip

(D(4)-D(11)=k(11-4)=7k) है। (7k=63) से (k=9) मिलता है।

Open Question Page

Question 13/50 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)

Step 1

Concept

The variable difference is ((x+5)-(x-2)=7). With rate (6), the difference is (42).

Step 2

Why this answer is correct

The correct answer is C. (42). The variable difference is ((x+5)-(x-2)=7). With rate (6), the difference is (42).

Step 3

Exam Tip

चर में अंतर ((x+5)-(x-2)=7) है। दर (6) होने से अंतर (42) है।

Open Question Page

Question 14/50 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)

Step 1

Concept

Over ((x+4)-(x-3)=7) steps the value decreases by \(5\times7=35\). So the difference is (35).

Step 2

Why this answer is correct

The correct answer is C. (35). Over ((x+4)-(x-3)=7) steps the value decreases by \(5\times7=35\). So the difference is (35).

Step 3

Exam Tip

((x+4)-(x-3)=7) चरणों में मान \(5\times7=35\) घटता है। इसलिए अंतर (35) है।

Open Question Page

Question 15/50 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)

Step 1

Concept

From (P(4)=70), (p=38). From (38+8s=118), (s=10).

Step 2

Why this answer is correct

The correct answer is C. (10). From (P(4)=70), (p=38). From (38+8s=118), (s=10).

Step 3

Exam Tip

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

Open Question Page

Question 16/50 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)

Step 1

Concept

From (R(3)=112), (r=133). From (133-7s=63), (s=10).

Step 2

Why this answer is correct

The correct answer is B. (10). From (R(3)=112), (r=133). From (133-7s=63), (s=10).

Step 3

Exam Tip

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

Open Question Page

Question 17/50 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)

Step 1

Concept

The rate is (5), and (a+5(4)=37) gives (a=17). So (y=17+5x) is correct.

Step 2

Why this answer is correct

The correct answer is A. (y=17+5x). The rate is (5), and (a+5(4)=37) gives (a=17). So (y=17+5x) is correct.

Step 3

Exam Tip

दर (5) है और (a+5(4)=37) से (a=17) मिलता है। इसलिए (y=17+5x) सही है।

Open Question Page

Question 18/50 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)

Step 1

Concept

The rate is (-9), and (a-9(6)=58) gives (a=112). So (y=112-9x) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=112-9x). The rate is (-9), and (a-9(6)=58) gives (a=112). So (y=112-9x) is correct.

Step 3

Exam Tip

दर (-9) है और (a-9(6)=58) से (a=112) मिलता है। इसलिए (y=112-9x) सही है।

Open Question Page

Question 19/50 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)

Step 1

Concept

The condition is (M(t)=N(t)+9). From (42+4t=105-5t), (9t=63) and (t=7).

Step 2

Why this answer is correct

The correct answer is C. (t=7). The condition is (M(t)=N(t)+9). From (42+4t=105-5t), (9t=63) and (t=7).

Step 3

Exam Tip

शर्त (M(t)=N(t)+9) है। (42+4t=105-5t) से (9t=63) और (t=7) मिलता है।

Open Question Page

Question 20/50 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)

Step 1

Concept

The condition is (140-6t=44+2t+16). This gives (80=8t) and (t=10).

Step 2

Why this answer is correct

The correct answer is C. (t=10). The condition is (140-6t=44+2t+16). This gives (80=8t) and (t=10).

Step 3

Exam Tip

शर्त (140-6t=44+2t+16) है। इससे (80=8t) और (t=10) मिलता है।

Open Question Page

Question 21/50 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)

Step 1

Concept

(F(8)-F(3)=5r). From (5r=40), (r=8).

Step 2

Why this answer is correct

The correct answer is C. (8). (F(8)-F(3)=5r). From (5r=40), (r=8).

Step 3

Exam Tip

(F(8)-F(3)=5r) है। (5r=40) से (r=8) मिलता है।

Open Question Page

Question 22/50 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)

Step 1

Concept

(G(2)-G(9)=7r). From (7r=56), (r=8).

Step 2

Why this answer is correct

The correct answer is C. (8). (G(2)-G(9)=7r). From (7r=56), (r=8).

Step 3

Exam Tip

(G(2)-G(9)=7r) है। (7r=56) से (r=8) मिलता है।

Open Question Page

Question 23/50 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)

Step 1

Concept

From (a+60=140), (a=80). (P(9)=80+135=215).

Step 2

Why this answer is correct

The correct answer is B. (215). From (a+60=140), (a=80). (P(9)=80+135=215).

Step 3

Exam Tip

(a+60=140) से (a=80) है। (P(9)=80+135=215) है।

Open Question Page

Question 24/50 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)

Step 1

Concept

From (c-5400=24600), (c=30000). (V(8)=30000-14400=15600).

Step 2

Why this answer is correct

The correct answer is A. (15600). From (c-5400=24600), (c=30000). (V(8)=30000-14400=15600).

Step 3

Exam Tip

(c-5400=24600) से (c=30000) है। (V(8)=30000-14400=15600) है।

Open Question Page

Question 25/50 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)

Step 1

Concept

The condition is (18+4x=7x). This gives (18=3x) and (x=6).

Step 2

Why this answer is correct

The correct answer is C. (x=6). The condition is (18+4x=7x). This gives (18=3x) and (x=6).

Step 3

Exam Tip

शर्त (18+4x=7x) है। इससे (18=3x) और (x=6) मिलता है।

Open Question Page

Question 26/50 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)

Step 1

Concept

The condition is (96-6x=2x). This gives (96=8x) and (x=12).

Step 2

Why this answer is correct

The correct answer is C. (x=12). The condition is (96-6x=2x). This gives (96=8x) and (x=12).

Step 3

Exam Tip

शर्त (96-6x=2x) है। इससे (96=8x) और (x=12) मिलता है।

Open Question Page

Question 27/50 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)

Step 1

Concept

(L(4t)=12t+14) and (L(t)=3t+14). The difference is (9t).

Step 2

Why this answer is correct

The correct answer is C. (9t). (L(4t)=12t+14) and (L(t)=3t+14). The difference is (9t).

Step 3

Exam Tip

(L(4t)=12t+14) और (L(t)=3t+14) है। अंतर (9t) है।

Open Question Page

Question 28/50 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)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is B. (10t). (K(3t)=120-15t). (K(t)-K(3t)=120-5t-(120-15t)=10t).

Step 3

Exam Tip

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

Open Question Page

Question 29/50 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)

Step 1

Concept

(Y(3)+Y(7)=(a+18)+(a+42)=2a+60). From (2a+60=124), (a=32).

Step 2

Why this answer is correct

The correct answer is D. (32). (Y(3)+Y(7)=(a+18)+(a+42)=2a+60). From (2a+60=124), (a=32).

Step 3

Exam Tip

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

Open Question Page

Question 30/50 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)

Step 1

Concept

(Z(2)+Z(6)=(b-14)+(b-42)=2b-56). From (2b-56=128), (b=92).

Step 2

Why this answer is correct

The correct answer is B. (92). (Z(2)+Z(6)=(b-14)+(b-42)=2b-56). From (2b-56=128), (b=92).

Step 3

Exam Tip

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

Open Question Page

Question 31/50 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)

Step 1

Concept

Setting (18+5x=7x-4) gives (22=2x). Therefore (x=11).

Step 2

Why this answer is correct

The correct answer is C. (x=11). Setting (18+5x=7x-4) gives (22=2x). Therefore (x=11).

Step 3

Exam Tip

(18+5x=7x-4) रखने पर (22=2x) मिलता है। इसलिए (x=11) है।

Open Question Page

Question 32/50 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)

Step 1

Concept

From (150-8x=54+4x), (96=12x) and (x=8). Equate the growth and decay models.

Step 2

Why this answer is correct

The correct answer is C. (x=8). From (150-8x=54+4x), (96=12x) and (x=8). Equate the growth and decay models.

Step 3

Exam Tip

(150-8x=54+4x) से (96=12x) और (x=8) है। वृद्धि और क्षय मॉडल को बराबर करें।

Open Question Page

Question 33/50 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)

Step 1

Concept

For linear growth the coefficient of (x) must be positive. From (k-4>0), (k>4).

Step 2

Why this answer is correct

The correct answer is C. (k>4). For linear growth the coefficient of (x) must be positive. From (k-4>0), (k>4).

Step 3

Exam Tip

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-4>0) से (k>4) मिलता है।

Open Question Page

Question 34/50 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)

Step 1

Concept

For decay the effective coefficient must be negative. From (-(k-5)<0), (k>5).

Step 2

Why this answer is correct

The correct answer is A. (k>5). For decay the effective coefficient must be negative. From (-(k-5)<0), (k>5).

Step 3

Exam Tip

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-5)<0) से (k>5) मिलता है।

Open Question Page

Question 35/50 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)

Step 1

Concept

Here (R(0)=65) is directly the initial value. The difference gives (m=11), but the initial value remains the same.

Step 2

Why this answer is correct

The correct answer is C. (65). Here (R(0)=65) is directly the initial value. The difference gives (m=11), but the initial value remains the same.

Step 3

Exam Tip

यहां (R(0)=65) सीधे आरंभिक मान है। अंतर से (m=11) मिलता है पर आरंभिक मान वही रहता है।

Open Question Page

Question 36/50 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)

Step 1

Concept

(S(3)-S(10)=(s^-18)-(s^-60)=42). 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(3)-S(10)=(s^-18)-(s^-60)=42). Therefore (s) can be any value.

Step 3

Exam Tip

(S(3)-S(10)=(s^-18)-(s^-60)=42) है। इसलिए (s) कोई भी हो सकता है।

Open Question Page

Question 37/50 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

Step 1

Concept

(B(t)-A(t)=12+4t). Its coefficient is (4), so the difference increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (4) बढ़ता है / It increases by (4) each step. (B(t)-A(t)=12+4t). Its coefficient is (4), so the difference increases.

Step 3

Exam Tip

(B(t)-A(t)=12+4t) है। इसका गुणांक (4) है इसलिए अंतर बढ़ता है।

Open Question Page

Question 38/50 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

Step 1

Concept

(C(t)-D(t)=60+5t). Therefore the difference of the two decay models increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (5) बढ़ता है / It increases by (5) each step. (C(t)-D(t)=60+5t). Therefore the difference of the two decay models increases.

Step 3

Exam Tip

(C(t)-D(t)=60+5t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है।

Open Question Page

Question 39/50 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)

Step 1

Concept

The total increase is \(8\Delta x\). From \(8\Delta x=64\), \(\Delta x=8\).

Step 2

Why this answer is correct

The correct answer is C. (8). The total increase is \(8\Delta x\). From \(8\Delta x=64\), \(\Delta x=8\).

Step 3

Exam Tip

कुल वृद्धि \(8\Delta x\) होगी। \(8\Delta x=64\) से \(\Delta x=8\) मिलता है।

Open Question Page

Question 40/50 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)

Step 1

Concept

The total decrease is \(15\Delta x\). From \(15\Delta x=90\), \(\Delta x=6\).

Step 2

Why this answer is correct

The correct answer is B. (6). The total decrease is \(15\Delta x\). From \(15\Delta x=90\), \(\Delta x=6\).

Step 3

Exam Tip

कुल कमी \(15\Delta x\) होगी। \(15\Delta x=90\) से \(\Delta x=6\) मिलता है।

Open Question Page

Question 41/50 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)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is C. (x=6). (f(2x)-f(x)=(14x+18)-(7x+18)=7x). From (7x=42), (x=6).

Step 3

Exam Tip

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

Open Question Page

Question 42/50 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)

Step 1

Concept

(g(x)-g(2x)=(144-8x)-(144-16x)=8x). From (8x=64), (x=8).

Step 2

Why this answer is correct

The correct answer is C. (x=8). (g(x)-g(2x)=(144-8x)-(144-16x)=8x). From (8x=64), (x=8).

Step 3

Exam Tip

(g(x)-g(2x)=(144-8x)-(144-16x)=8x) है। (8x=64) से (x=8) है।

Open Question Page

Question 43/50 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))

Step 1

Concept

In a linear model the midpoint of (3) and (11) is (7). Therefore (P(3)+P(11)=2P(7)).

Step 2

Why this answer is correct

The correct answer is C. (P(7)). In a linear model the midpoint of (3) and (11) is (7). Therefore (P(3)+P(11)=2P(7)).

Step 3

Exam Tip

रेखीय मॉडल में (3) और (11) का मध्य (7) है। इसलिए (P(3)+P(11)=2P(7)) होता है।

Open Question Page

Question 44/50 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))

Step 1

Concept

In a linear model the midpoint of (2) and (12) is (7). Therefore (Q(2)+Q(12)=2Q(7)).

Step 2

Why this answer is correct

The correct answer is B. (Q(7)). In a linear model the midpoint of (2) and (12) is (7). Therefore (Q(2)+Q(12)=2Q(7)).

Step 3

Exam Tip

रेखीय मॉडल में (2) और (12) का मध्य (7) है। इसलिए (Q(2)+Q(12)=2Q(7)) होता है।

Open Question Page

Question 45/50 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)

Step 1

Concept

The change in (x) is (7). From (7a=63), (a=9).

Step 2

Why this answer is correct

The correct answer is C. (9). The change in (x) is (7). From (7a=63), (a=9).

Step 3

Exam Tip

(x) में परिवर्तन (7) है। (7a=63) से (a=9) मिलता है।

Open Question Page

Question 46/50 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)

Step 1

Concept

The change in (x) is (8). The total decrease is (8b=96), so (b=12).

Step 2

Why this answer is correct

The correct answer is C. (12). The change in (x) is (8). The total decrease is (8b=96), so (b=12).

Step 3

Exam Tip

(x) में परिवर्तन (8) है। कुल कमी (8b=96) है इसलिए (b=12) है।

Open Question Page

Question 47/50 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)

Step 1

Concept

The condition is (20+4t=35+3t+5). This gives (t=20).

Step 2

Why this answer is correct

The correct answer is C. (t=20). The condition is (20+4t=35+3t+5). This gives (t=20).

Step 3

Exam Tip

शर्त (20+4t=35+3t+5) है। इससे (t=20) मिलता है।

Open Question Page

Question 48/50 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)

Step 1

Concept

The condition is (180-7t=60+5t-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 (180-7t=60+5t-12). This gives (132=12t) and (t=11).

Step 3

Exam Tip

शर्त (180-7t=60+5t-12) है। इससे (132=12t) और (t=11) मिलता है।

Open Question Page

Question 49/50 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)

Step 1

Concept

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.

Step 2

Why this answer is correct

The correct answer is B. (22). 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.

Step 3

Exam Tip

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।

Open Question Page

Question 50/50 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)

Step 1

Concept

The sum is ((b-4)+(b-20)+(b-36)=3b-60). From (3b-60=156), (b=72).

Step 2

Why this answer is correct

The correct answer is D. (72). The sum is ((b-4)+(b-20)+(b-36)=3b-60). From (3b-60=156), (b=72).

Step 3

Exam Tip

योग ((b-4)+(b-20)+(b-36)=3b-60) है। (3b-60=156) से (b=72) है।

Open Question Page

Class 9 Mathematics - Exploring Algebraic Identities - Factorisation Hard Quiz

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

यदि (y=96-2.25x), 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 (39) और (x=10) पर (87) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct