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Mathematics Quiz - Class 9 Mathematics Sequences and Prog...

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

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

The rate is \(\frac{43-18}{7-2}=5\). From (18=a+5(2)), (a=8).

Step 2

Why this answer is correct

The correct answer is A. (H(t)=8+5t). The rate is \(\frac{43-18}{7-2}=5\). From (18=a+5(2)), (a=8).

Step 3

Exam Tip

दर \(\frac{43-18}{7-2}=5\) है। (18=a+5(2)) से (a=8) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

The rate is \(\frac{56-96}{8-3}=-8\). From (96=a-8(3)), (a=120).

Step 2

Why this answer is correct

The correct answer is A. (W(t)=120-8t). The rate is \(\frac{56-96}{8-3}=-8\). From (96=a-8(3)), (a=120).

Step 3

Exam Tip

दर \(\frac{56-96}{8-3}=-8\) है। (96=a-8(3)) से (a=120) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (t=5)

Step 1

Concept

For equality, set (25+6t=70-3t). This gives (9t=45) and (t=5).

Step 2

Why this answer is correct

The correct answer is C. (t=5). For equality, set (25+6t=70-3t). This gives (9t=45) and (t=5).

Step 3

Exam Tip

बराबरी के लिए (25+6t=70-3t) रखें। इससे (9t=45) और (t=5) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (t=6)

Step 1

Concept

From (40+4t=100-6t), (10t=60). Therefore (t=6) is correct.

Step 2

Why this answer is correct

The correct answer is C. (t=6). From (40+4t=100-6t), (10t=60). Therefore (t=6) is correct.

Step 3

Exam Tip

(40+4t=100-6t) से (10t=60) होता है। इसलिए (t=6) सही है।

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Question 5/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (95)

Step 1

Concept

From (a+28=53), (a=25). Then (f(10)=25+70=95).

Step 2

Why this answer is correct

The correct answer is C. (95). From (a+28=53), (a=25). Then (f(10)=25+70=95).

Step 3

Exam Tip

(a+28=53) से (a=25) मिलता है। फिर (f(10)=25+70=95) है।

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

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

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

Explanation opens after your attempt

Correct Answer

A. (18)

Step 1

Concept

From (b-45=72), (b=117). Therefore (g(11)=117-99=18).

Step 2

Why this answer is correct

The correct answer is A. (18). From (b-45=72), (b=117). Therefore (g(11)=117-99=18).

Step 3

Exam Tip

(b-45=72) से (b=117) है। इसलिए (g(11)=117-99=18) है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (20)

Step 1

Concept

The change in (x) is (10-2=8). The total increase is \(2.5\times8=20\).

Step 2

Why this answer is correct

The correct answer is B. (20). The change in (x) is (10-2=8). The total increase is \(2.5\times8=20\).

Step 3

Exam Tip

(x) में परिवर्तन (10-2=8) है। कुल वृद्धि \(2.5\times8=20\) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (28)

Step 1

Concept

The change in (x) is (12-4=8). The total decrease is \(3.5\times8=28\).

Step 2

Why this answer is correct

The correct answer is C. (28). The change in (x) is (12-4=8). The total decrease is \(3.5\times8=28\).

Step 3

Exam Tip

(x) में परिवर्तन (12-4=8) है। कुल कमी \(3.5\times8=28\) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

The increase per step is \(\frac{77-41}{9-3}=6\). In a linear model, the rate is constant.

Step 2

Why this answer is correct

The correct answer is C. (6). The increase per step is \(\frac{77-41}{9-3}=6\). In a linear model, the rate is constant.

Step 3

Exam Tip

प्रति चरण वृद्धि \(\frac{77-41}{9-3}=6\) है। रेखीय मॉडल में दर स्थिर होती है।

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Question 10/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (8)

Step 1

Concept

The total decrease is (134-86=48) and there are (6) steps. The decrease per step is \(\frac{48}{6}=8\).

Step 2

Why this answer is correct

The correct answer is B. (8). The total decrease is (134-86=48) and there are (6) steps. The decrease per step is \(\frac{48}{6}=8\).

Step 3

Exam Tip

कुल कमी (134-86=48) और चरण (6) हैं। प्रति चरण कमी \(\frac{48}{6}=8\) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

(C(5)-C(2)=k(5-2)=3k). From (3k=21), (k=7).

Step 2

Why this answer is correct

The correct answer is C. (7). (C(5)-C(2)=k(5-2)=3k). From (3k=21), (k=7).

Step 3

Exam Tip

(C(5)-C(2)=k(5-2)=3k) है। (3k=21) से (k=7) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

(D(3)-D(9)=k(9-3)=6k). From (6k=42), (k=7).

Step 2

Why this answer is correct

The correct answer is C. (7). (D(3)-D(9)=k(9-3)=6k). From (6k=42), (k=7).

Step 3

Exam Tip

(D(3)-D(9)=k(9-3)=6k) है। (6k=42) से (k=7) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (25)

Step 1

Concept

The variable difference is ((x+4)-(x-1)=5). With rate (5), the difference is (25).

Step 2

Why this answer is correct

The correct answer is C. (25). The variable difference is ((x+4)-(x-1)=5). With rate (5), the difference is (25).

Step 3

Exam Tip

चर में अंतर ((x+4)-(x-1)=5) है। दर (5) होने से अंतर (25) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (40)

Step 1

Concept

Over ((x+3)-(x-2)=5) steps, the value decreases by \(8\times5=40\). So the difference is (40).

Step 2

Why this answer is correct

The correct answer is C. (40). Over ((x+3)-(x-2)=5) steps, the value decreases by \(8\times5=40\). So the difference is (40).

Step 3

Exam Tip

((x+3)-(x-2)=5) चरणों में मान \(8\times5=40\) घटता है। इसलिए अंतर (40) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

From (P(3)=50), (p=32). From (32+6s=80), (s=8).

Step 2

Why this answer is correct

The correct answer is C. (8). From (P(3)=50), (p=32). From (32+6s=80), (s=8).

Step 3

Exam Tip

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

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

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

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

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

From (R(4)=90), (r=110). From (110-5s=55), (s=11).

Step 2

Why this answer is correct

The correct answer is C. (11). From (R(4)=90), (r=110). From (110-5s=55), (s=11).

Step 3

Exam Tip

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

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

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

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

Explanation opens after your attempt

Correct Answer

A. (y=17+4x)

Step 1

Concept

The rate is (4), and (a+4(3)=29) gives (a=17). So (y=17+4x) is correct.

Step 2

Why this answer is correct

The correct answer is A. (y=17+4x). The rate is (4), and (a+4(3)=29) gives (a=17). So (y=17+4x) is correct.

Step 3

Exam Tip

दर (4) है और (a+4(3)=29) से (a=17) मिलता है। इसलिए (y=17+4x) सही है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (y=72-6x)

Step 1

Concept

The rate is (-6), and (a-6(5)=42) gives (a=72). So (y=72-6x) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=72-6x). The rate is (-6), and (a-6(5)=42) gives (a=72). So (y=72-6x) is correct.

Step 3

Exam Tip

दर (-6) है और (a-6(5)=42) से (a=72) मिलता है। इसलिए (y=72-6x) सही है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (t=5)

Step 1

Concept

The condition is (M(t)=N(t)+10). From (35+5t=75-3t), (8t=40) and (t=5).

Step 2

Why this answer is correct

The correct answer is B. (t=5). The condition is (M(t)=N(t)+10). From (35+5t=75-3t), (8t=40) and (t=5).

Step 3

Exam Tip

शर्त (M(t)=N(t)+10) है। (35+5t=75-3t) से (8t=40) और (t=5) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (t=8)

Step 1

Concept

The condition is (90-4t=30+2t+12). This gives (48=6t) and (t=8).

Step 2

Why this answer is correct

The correct answer is B. (t=8). The condition is (90-4t=30+2t+12). This gives (48=6t) and (t=8).

Step 3

Exam Tip

शर्त (90-4t=30+2t+12) है। इससे (48=6t) और (t=8) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

(F(5)-F(2)=3r). From (3r=18), (r=6).

Step 2

Why this answer is correct

The correct answer is C. (6). (F(5)-F(2)=3r). From (3r=18), (r=6).

Step 3

Exam Tip

(F(5)-F(2)=3r) है। (3r=18) से (r=6) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

(G(2)-G(7)=5r). From (5r=35), (r=7).

Step 2

Why this answer is correct

The correct answer is B. (7). (G(2)-G(7)=5r). From (5r=35), (r=7).

Step 3

Exam Tip

(G(2)-G(7)=5r) है। (5r=35) से (r=7) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (146)

Step 1

Concept

From (a+36=86), (a=50). (P(8)=50+96=146).

Step 2

Why this answer is correct

The correct answer is B. (146). From (a+36=86), (a=50). (P(8)=50+96=146).

Step 3

Exam Tip

(a+36=86) से (a=50) है। (P(8)=50+96=146) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (19500)

Step 1

Concept

From (c-3000=27000), (c=30000). (V(7)=30000-10500=19500).

Step 2

Why this answer is correct

The correct answer is C. (19500). From (c-3000=27000), (c=30000). (V(7)=30000-10500=19500).

Step 3

Exam Tip

(c-3000=27000) से (c=30000) है। (V(7)=30000-10500=19500) है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (x=5)

Step 1

Concept

The condition is (15+3x=6x). This gives (15=3x) and (x=5).

Step 2

Why this answer is correct

The correct answer is B. (x=5). The condition is (15+3x=6x). This gives (15=3x) and (x=5).

Step 3

Exam Tip

शर्त (15+3x=6x) है। इससे (15=3x) और (x=5) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (x=10)

Step 1

Concept

The condition is (80-5x=3x). This gives (80=8x) and (x=10).

Step 2

Why this answer is correct

The correct answer is B. (x=10). The condition is (80-5x=3x). This gives (80=8x) and (x=10).

Step 3

Exam Tip

शर्त (80-5x=3x) है। इससे (80=8x) और (x=10) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (4t)

Step 1

Concept

(L(3t)=6t+11) and (L(t)=2t+11). The difference is (4t).

Step 2

Why this answer is correct

The correct answer is B. (4t). (L(3t)=6t+11) and (L(t)=2t+11). The difference is (4t).

Step 3

Exam Tip

(L(3t)=6t+11) और (L(t)=2t+11) है। अंतर (4t) है।

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

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

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

Explanation opens after your attempt

Correct Answer

A. (4t)

Step 1

Concept

(K(2t)=90-8t). (K(t)-K(2t)=90-4t-(90-8t)=4t).

Step 2

Why this answer is correct

The correct answer is A. (4t). (K(2t)=90-8t). (K(t)-K(2t)=90-4t-(90-8t)=4t).

Step 3

Exam Tip

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

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

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

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

Explanation opens after your attempt

Correct Answer

B. (23)

Step 1

Concept

(Y(2)+Y(6)=(a+10)+(a+30)=2a+40). From (2a+40=86), (a=23).

Step 2

Why this answer is correct

The correct answer is B. (23). (Y(2)+Y(6)=(a+10)+(a+30)=2a+40). From (2a+40=86), (a=23).

Step 3

Exam Tip

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

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

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

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

Explanation opens after your attempt

Correct Answer

C. (60)

Step 1

Concept

(Z(1)+Z(4)=(b-6)+(b-24)=2b-30). From (2b-30=90), (b=60).

Step 2

Why this answer is correct

The correct answer is C. (60). (Z(1)+Z(4)=(b-6)+(b-24)=2b-30). From (2b-30=90), (b=60).

Step 3

Exam Tip

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

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

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

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

Explanation opens after your attempt

Correct Answer

C. (x=12)

Step 1

Concept

Setting (10+3x=4x-2) gives (x=12). For equality, set both expressions equal.

Step 2

Why this answer is correct

The correct answer is C. (x=12). Setting (10+3x=4x-2) gives (x=12). For equality, set both expressions equal.

Step 3

Exam Tip

(10+3x=4x-2) रखने पर (x=12) मिलता है। बराबरी में दोनों अभिव्यक्तियों को समान रखें।

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Question 32/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (x=5)

Step 1

Concept

From (120-7x=60+5x), (60=12x) and (x=5). Equate the growth and decay models.

Step 2

Why this answer is correct

The correct answer is B. (x=5). From (120-7x=60+5x), (60=12x) and (x=5). Equate the growth and decay models.

Step 3

Exam Tip

(120-7x=60+5x) से (60=12x) और (x=5) है। वृद्धि और क्षय मॉडल को बराबर करें।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (k>2)

Step 1

Concept

For linear growth, the coefficient of (x) must be positive. From (k-2>0), (k>2).

Step 2

Why this answer is correct

The correct answer is C. (k>2). For linear growth, the coefficient of (x) must be positive. From (k-2>0), (k>2).

Step 3

Exam Tip

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-2>0) से (k>2) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

A. (k>-3)

Step 1

Concept

For decay, the effective coefficient of (x) must be negative. From (-(k+3)<0), (k>-3).

Step 2

Why this answer is correct

The correct answer is A. (k>-3). For decay, the effective coefficient of (x) must be negative. From (-(k+3)<0), (k>-3).

Step 3

Exam Tip

क्षय के लिए (x) का प्रभावी गुणांक ऋणात्मक चाहिए। (-(k+3)<0) से (k>-3) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (50)

Step 1

Concept

Here (R(0)=50) is directly the initial value. The difference gives (m=9), but (R(0)) does not change.

Step 2

Why this answer is correct

The correct answer is C. (50). Here (R(0)=50) is directly the initial value. The difference gives (m=9), but (R(0)) does not change.

Step 3

Exam Tip

यहां (R(0)=50) सीधे आरंभिक मान है। अंतर से (m=9) मिलता है पर (R(0)) नहीं बदलता।

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

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

If (S(x)=s-4x) and (S(2)-S(9)=28), which conclusion is correct?

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

(S(2)-S(9)=(s^-8)-(s^-36)=28). 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(2)-S(9)=(s^-8)-(s^-36)=28). Therefore (s) can be any value.

Step 3

Exam Tip

(S(2)-S(9)=(s^-8)-(s^-36)=28) है। इसलिए (s) कोई भी हो सकता है।

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Question 37/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

(B(t)-A(t)=12+3t). Its coefficient is (3), so the difference increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (3) बढ़ता है / It increases by (3) each step. (B(t)-A(t)=12+3t). Its coefficient is (3), so the difference increases.

Step 3

Exam Tip

(B(t)-A(t)=12+3t) है। इसका गुणांक (3) है इसलिए अंतर बढ़ता है।

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

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

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

Explanation opens after your attempt

Correct Answer

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

Step 1

Concept

(C(t)-D(t)=30+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)=30+5t). Therefore the difference of the two decay models increases.

Step 3

Exam Tip

(C(t)-D(t)=30+5t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है।

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Question 39/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

B. (7)

Step 1

Concept

The total increase is \(6\Delta x\). From \(6\Delta x=42\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is B. (7). The total increase is \(6\Delta x\). From \(6\Delta x=42\), \(\Delta x=7\).

Step 3

Exam Tip

कुल वृद्धि \(6\Delta x\) होगी। \(6\Delta x=42\) से \(\Delta x=7\) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (6)

Step 1

Concept

The total decrease is \(12\Delta x\). From \(12\Delta x=72\), \(\Delta x=6\).

Step 2

Why this answer is correct

The correct answer is B. (6). The total decrease is \(12\Delta x\). From \(12\Delta x=72\), \(\Delta x=6\).

Step 3

Exam Tip

कुल कमी \(12\Delta x\) होगी। \(12\Delta x=72\) से \(\Delta x=6\) मिलता है।

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Question 41/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 36

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

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

Explanation opens after your attempt

Correct Answer

C. (x=6)

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is C. (x=6). (f(2x)-f(x)=(10x+20)-(5x+20)=5x). From (5x=30), (x=6).

Step 3

Exam Tip

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

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

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

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

Explanation opens after your attempt

Correct Answer

C. (x=6)

Step 1

Concept

(g(x)-g(2x)=(96-6x)-(96-12x)=6x). From (6x=36), (x=6).

Step 2

Why this answer is correct

The correct answer is C. (x=6). (g(x)-g(2x)=(96-6x)-(96-12x)=6x). From (6x=36), (x=6).

Step 3

Exam Tip

(g(x)-g(2x)=(96-6x)-(96-12x)=6x) है। (6x=36) से (x=6) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (P(5))

Step 1

Concept

In a linear model, (P(2)+P(8)=2P(5)) because (5) is the midpoint. Checking gives (110) on both sides.

Step 2

Why this answer is correct

The correct answer is C. (P(5)). In a linear model, (P(2)+P(8)=2P(5)) because (5) is the midpoint. Checking gives (110) on both sides.

Step 3

Exam Tip

रेखीय मॉडल में (P(2)+P(8)=2P(5)) क्योंकि (5) दोनों का मध्य है। जांचने पर दोनों (110) हैं।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (Q(5))

Step 1

Concept

In a linear model, the midpoint of (1) and (9) is (5). Therefore (Q(1)+Q(9)=2Q(5)).

Step 2

Why this answer is correct

The correct answer is B. (Q(5)). In a linear model, the midpoint of (1) and (9) is (5). Therefore (Q(1)+Q(9)=2Q(5)).

Step 3

Exam Tip

रेखीय मॉडल में (1) और (9) का मध्य (5) है। इसलिए (Q(1)+Q(9)=2Q(5)) होता है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The change in (x) is (5). From (5a=35), (a=7).

Step 2

Why this answer is correct

The correct answer is C. (7). The change in (x) is (5). From (5a=35), (a=7).

Step 3

Exam Tip

(x) में परिवर्तन (5) है। (5a=35) से (a=7) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

The change in (x) is (5). The total decrease is (5b=45), so (b=9).

Step 2

Why this answer is correct

The correct answer is C. (9). The change in (x) is (5). The total decrease is (5b=45), so (b=9).

Step 3

Exam Tip

(x) में परिवर्तन (5) है। कुल कमी (5b=45) है इसलिए (b=9) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (t=10)

Step 1

Concept

The condition is (12+3t=18+2t+4). This gives (t=10).

Step 2

Why this answer is correct

The correct answer is C. (t=10). The condition is (12+3t=18+2t+4). This gives (t=10).

Step 3

Exam Tip

शर्त (12+3t=18+2t+4) है। इससे (t=10) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

B. (t=9)

Step 1

Concept

The condition is (130-5t=70+3t-12). This gives (72=8t) and (t=9).

Step 2

Why this answer is correct

The correct answer is B. (t=9). The condition is (130-5t=70+3t-12). This gives (72=8t) and (t=9).

Step 3

Exam Tip

शर्त (130-5t=70+3t-12) है। इससे (72=8t) और (t=9) मिलता है।

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

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

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

Explanation opens after your attempt

Correct Answer

A. (15)

Step 1

Concept

The sum is ((a+4)+(a+12)+(a+20)=3a+36). From (3a+36=81), (a=15).

Step 2

Why this answer is correct

The correct answer is A. (15). The sum is ((a+4)+(a+12)+(a+20)=3a+36). From (3a+36=81), (a=15).

Step 3

Exam Tip

योग ((a+4)+(a+12)+(a+20)=3a+36) है। (3a+36=81) से (a=15) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (60)

Step 1

Concept

The sum is ((b-6)+(b-12)+(b-18)=3b-36). From (3b-36=144), (b=60).

Step 2

Why this answer is correct

The correct answer is C. (60). The sum is ((b-6)+(b-12)+(b-18)=3b-36). From (3b-36=144), (b=60).

Step 3

Exam Tip

योग ((b-6)+(b-12)+(b-18)=3b-36) है। (3b-36=144) से (b=60) है।

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Class 9 Mathematics - Sequences and Progressions - Sequences Hard Quiz

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct