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Class 9 Mathematics Medium Quiz

Mathematics Medium Class 9 Level 36

Level 36 • 50/50 questions • 35 seconds per question.

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

एक पौधे की ऊंचाई (H(t)=24+5t) सेमी है। (t=4) पर ऊंचाई क्या होगी?

A plant's height is (H(t)=24+5t) cm. What will be the height at (t=4)?

Explanation opens after your attempt
Correct Answer

C. (44) सेमी(44) cm

Step 1

Concept

(H(4)=24+5(4)=44). Substitute the given number for the variable.

Step 2

Why this answer is correct

The correct answer is C. (44) सेमी / (44) cm. (H(4)=24+5(4)=44). Substitute the given number for the variable.

Step 3

Exam Tip

(H(4)=24+5(4)=44) है। मान निकालते समय चर की जगह दी गई संख्या रखें।

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

एक टंकी में पानी (W(t)=150-9t) लीटर बचता है। (t=7) पर पानी कितना बचेगा?

Water left in a tank is (W(t)=150-9t) litres. How much water will remain at (t=7)?

Explanation opens after your attempt
Correct Answer

A. (87) लीटर(87) litres

Step 1

Concept

(W(7)=150-9(7)=87). In decay subtract the total decrease from the initial value.

Step 2

Why this answer is correct

The correct answer is A. (87) लीटर / (87) litres. (W(7)=150-9(7)=87). In decay subtract the total decrease from the initial value.

Step 3

Exam Tip

(W(7)=150-9(7)=87) है। क्षय में कुल कमी को प्रारंभिक मान से घटाएं।

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

यदि (P(n)=40+6n), तो (P(8)-P(3)) का मान क्या है?

If (P(n)=40+6n), what is the value of (P(8)-P(3))?

Explanation opens after your attempt
Correct Answer

B. (30)

Step 1

Concept

There are (8-3=5) steps and the increase per step is (6). So the difference is \(6\times5=30\).

Step 2

Why this answer is correct

The correct answer is B. (30). There are (8-3=5) steps and the increase per step is (6). So the difference is \(6\times5=30\).

Step 3

Exam Tip

(8-3=5) चरण हैं और प्रति चरण वृद्धि (6) है। इसलिए अंतर \(6\times5=30\) है।

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

यदि (Q(t)=110-4t), तो (Q(2)-Q(9)) का मान क्या है?

If (Q(t)=110-4t), what is the value of (Q(2)-Q(9))?

Explanation opens after your attempt
Correct Answer

C. (28)

Step 1

Concept

There are (9-2=7) steps and the decay rate is (4). So the difference is \(4\times7=28\).

Step 2

Why this answer is correct

The correct answer is C. (28). There are (9-2=7) steps and the decay rate is (4). So the difference is \(4\times7=28\).

Step 3

Exam Tip

(9-2=7) चरण हैं और कमी दर (4) है। इसलिए अंतर \(4\times7=28\) है।

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

एक बचत राशि (S(m)=300+40m) रुपये है। कितने महीनों बाद राशि (620) रुपये होगी?

A saving amount is (S(m)=300+40m) rupees. After how many months will the amount be (620) rupees?

Explanation opens after your attempt
Correct Answer

D. (8)

Step 1

Concept

From (300+40m=620), (40m=320) and (m=8). Form an equation to reach the target value.

Step 2

Why this answer is correct

The correct answer is D. (8). From (300+40m=620), (40m=320) and (m=8). Form an equation to reach the target value.

Step 3

Exam Tip

(300+40m=620) से (40m=320) और (m=8) मिलता है। लक्ष्य मान पाने के लिए समीकरण बनाएं।

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

एक बैटरी (B(h)=96-6h) प्रतिशत बचती है। बैटरी (48%) कब होगी?

A battery remains (B(h)=96-6h) percent. When will the battery be (48%)?

Explanation opens after your attempt
Correct Answer

C. (8) घंटे(8) hours

Step 1

Concept

From (96-6h=48), (6h=48) and (h=8). In decay set the remaining value equal to the target.

Step 2

Why this answer is correct

The correct answer is C. (8) घंटे / (8) hours. From (96-6h=48), (6h=48) and (h=8). In decay set the remaining value equal to the target.

Step 3

Exam Tip

(96-6h=48) से (6h=48) और (h=8) मिलता है। क्षय में बचा हुआ मान लक्ष्य के बराबर रखें।

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

किस नियम में आरंभिक मान (28) और प्रति चरण (9) की वृद्धि है?

Which rule has initial value (28) and growth of (9) per step?

Explanation opens after your attempt
Correct Answer

B. (y=28+9x)

Step 1

Concept

The initial value is the constant term (28) and the growth rate is (9). So (y=28+9x) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=28+9x). The initial value is the constant term (28) and the growth rate is (9). So (y=28+9x) is correct.

Step 3

Exam Tip

आरंभिक मान नियतांक पद (28) है और वृद्धि दर (9) है। इसलिए (y=28+9x) सही है।

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

किस नियम में आरंभिक मान (180) और प्रति चरण (15) की कमी है?

Which rule has initial value (180) and decrease of (15) per step?

Explanation opens after your attempt
Correct Answer

D. (y=180-15x)

Step 1

Concept

In decay the rate is negative. Initial value (180) and decrease (15) give (y=180-15x).

Step 2

Why this answer is correct

The correct answer is D. (y=180-15x). In decay the rate is negative. Initial value (180) and decrease (15) give (y=180-15x).

Step 3

Exam Tip

क्षय में दर ऋणात्मक होती है। आरंभिक मान (180) और कमी (15) से (y=180-15x) बनता है।

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

यदि (y=22+4x) और (x) (3) से (10) हो जाए, तो (y) में कुल वृद्धि कितनी होगी?

If (y=22+4x) and (x) changes from (3) to (10), what is the total increase in (y)?

Explanation opens after your attempt
Correct Answer

C. (28)

Step 1

Concept

The change in (x) is (10-3=7) and the rate is (4). Total increase is \(4\times7=28\).

Step 2

Why this answer is correct

The correct answer is C. (28). The change in (x) is (10-3=7) and the rate is (4). Total increase is \(4\times7=28\).

Step 3

Exam Tip

(x) में परिवर्तन (10-3=7) है और दर (4) है। कुल वृद्धि \(4\times7=28\) है।

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

यदि (y=95-5x) और (x) (4) से (11) हो जाए, तो (y) में कुल कमी कितनी होगी?

If (y=95-5x) and (x) changes from (4) to (11), what is the total decrease in (y)?

Explanation opens after your attempt
Correct Answer

C. (35)

Step 1

Concept

The change in (x) is (11-4=7) and the decrease rate is (5). Total decrease is \(5\times7=35\).

Step 2

Why this answer is correct

The correct answer is C. (35). The change in (x) is (11-4=7) and the decrease rate is (5). Total decrease is \(5\times7=35\).

Step 3

Exam Tip

(x) में परिवर्तन (11-4=7) है और कमी दर (5) है। कुल कमी \(5\times7=35\) है।

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

यदि (A(t)=a+7t) और (A(4)=50), तो (a) क्या है?

If (A(t)=a+7t) and (A(4)=50), what is (a)?

Explanation opens after your attempt
Correct Answer

B. (22)

Step 1

Concept

From (a+7(4)=50), (a+28=50) and (a=22). Form an equation for the unknown initial value.

Step 2

Why this answer is correct

The correct answer is B. (22). From (a+7(4)=50), (a+28=50) and (a=22). Form an equation for the unknown initial value.

Step 3

Exam Tip

(a+7(4)=50) से (a+28=50) और (a=22) मिलता है। अज्ञात आरंभिक मान के लिए समीकरण बनाएं।

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

यदि (R(t)=b-8t) और (R(6)=42), तो (b) क्या है?

If (R(t)=b-8t) and (R(6)=42), what is (b)?

Explanation opens after your attempt
Correct Answer

D. (90)

Step 1

Concept

From (b-8(6)=42), (b-48=42) and (b=90). In decay add back the decreased amount.

Step 2

Why this answer is correct

The correct answer is D. (90). From (b-8(6)=42), (b-48=42) and (b=90). In decay add back the decreased amount.

Step 3

Exam Tip

(b-8(6)=42) से (b-48=42) और (b=90) मिलता है। क्षय में घटाई गई मात्रा वापस जोड़ें।

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

एक दुकान की बिक्री (V(d)=500+30d) रुपये है। (d=3) और (d=9) के बीच वृद्धि कितनी है?

A shop's sales are (V(d)=500+30d) rupees. What is the increase between (d=3) and (d=9)?

Explanation opens after your attempt
Correct Answer

C. (180) रुपये(180) rupees

Step 1

Concept

The day difference is (9-3=6) and the rate is (30). The increase is \(30\times6=180\) rupees.

Step 2

Why this answer is correct

The correct answer is C. (180) रुपये / (180) rupees. The day difference is (9-3=6) and the rate is (30). The increase is \(30\times6=180\) rupees.

Step 3

Exam Tip

दिनों का अंतर (9-3=6) है और दर (30) है। वृद्धि \(30\times6=180\) रुपये है।

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

एक मोमबत्ती की लंबाई (L(h)=36-3h) सेमी है। (h=4) और (h=10) के बीच लंबाई कितनी घटेगी?

A candle's length is (L(h)=36-3h) cm. How much will the length decrease between (h=4) and (h=10)?

Explanation opens after your attempt
Correct Answer

B. (18) सेमी(18) cm

Step 1

Concept

The time difference is (10-4=6) and the decrease rate is (3). Total decrease is \(3\times6=18\) cm.

Step 2

Why this answer is correct

The correct answer is B. (18) सेमी / (18) cm. The time difference is (10-4=6) and the decrease rate is (3). Total decrease is \(3\times6=18\) cm.

Step 3

Exam Tip

समय का अंतर (10-4=6) है और कमी दर (3) है। कुल कमी \(3\times6=18\) सेमी है।

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

कौन सा नियम रेखीय वृद्धि है और आरंभिक मान (16) भी रखता है?

Which rule is linear growth and also has initial value (16)?

Explanation opens after your attempt
Correct Answer

C. (y=16+6x)

Step 1

Concept

For linear growth the coefficient must be positive and the initial value must be (16). (y=16+6x) satisfies both.

Step 2

Why this answer is correct

The correct answer is C. (y=16+6x). For linear growth the coefficient must be positive and the initial value must be (16). (y=16+6x) satisfies both.

Step 3

Exam Tip

रेखीय वृद्धि के लिए गुणांक धनात्मक और आरंभिक मान (16) चाहिए। (y=16+6x) दोनों शर्तें पूरी करता है।

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

कौन सा नियम रेखीय क्षय है और आरंभिक मान (72) भी रखता है?

Which rule is linear decay and also has initial value (72)?

Explanation opens after your attempt
Correct Answer

A. (y=72-9x)

Step 1

Concept

For linear decay the coefficient must be negative and the initial value must be (72). (y=72-9x) is correct.

Step 2

Why this answer is correct

The correct answer is A. (y=72-9x). For linear decay the coefficient must be negative and the initial value must be (72). (y=72-9x) is correct.

Step 3

Exam Tip

रेखीय क्षय के लिए गुणांक ऋणात्मक और आरंभिक मान (72) चाहिए। (y=72-9x) सही है।

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

यदि (M(t)=m+6t) और (M(3)=39), तो (M(8)) क्या होगा?

If (M(t)=m+6t) and (M(3)=39), what will (M(8)) be?

Explanation opens after your attempt
Correct Answer

B. (69)

Step 1

Concept

First (m+18=39) gives (m=21). Then (M(8)=21+48=69).

Step 2

Why this answer is correct

The correct answer is B. (69). First (m+18=39) gives (m=21). Then (M(8)=21+48=69).

Step 3

Exam Tip

पहले (m+18=39) से (m=21) मिलता है। फिर (M(8)=21+48=69) है।

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

यदि (N(t)=n-4t) और (N(5)=35), तो (N(12)) क्या होगा?

If (N(t)=n-4t) and (N(5)=35), what will (N(12)) be?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

First (n-20=35) gives (n=55). Then (N(12)=55-48=7).

Step 2

Why this answer is correct

The correct answer is A. (7). First (n-20=35) gives (n=55). Then (N(12)=55-48=7).

Step 3

Exam Tip

पहले (n-20=35) से (n=55) मिलता है। फिर (N(12)=55-48=7) है।

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

यदि (y=30+kx) और (x=4) पर (y=54), तो (k) क्या है?

If (y=30+kx) and (y=54) at (x=4), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

From (30+4k=54), (4k=24) and (k=6). The coefficient represents the rate.

Step 2

Why this answer is correct

The correct answer is B. (6). From (30+4k=54), (4k=24) and (k=6). The coefficient represents the rate.

Step 3

Exam Tip

(30+4k=54) से (4k=24) और (k=6) मिलता है। गुणांक दर को बताता है।

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

यदि (y=150-kx) और (x=5) पर (y=110), तो (k) क्या है?

If (y=150-kx) and (y=110) at (x=5), what is (k)?

Explanation opens after your attempt
Correct Answer

B. (8)

Step 1

Concept

From (150-5k=110), (5k=40) and (k=8). The decay rate magnitude is (8).

Step 2

Why this answer is correct

The correct answer is B. (8). From (150-5k=110), (5k=40) and (k=8). The decay rate magnitude is (8).

Step 3

Exam Tip

(150-5k=110) से (5k=40) और (k=8) मिलता है। क्षय दर का परिमाण (8) है।

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

दो मॉडल (A(t)=15+4t) और (B(t)=35+2t) हैं। (t=6) पर कौन सा मान बड़ा है?

Two models are (A(t)=15+4t) and (B(t)=35+2t). Which value is greater at (t=6)?

Explanation opens after your attempt
Correct Answer

B. (B(t)) बड़ा है(B(t)) is greater

Step 1

Concept

(A(6)=39) and (B(6)=47). Therefore (B(t)) is greater.

Step 2

Why this answer is correct

The correct answer is B. (B(t)) बड़ा है / (B(t)) is greater. (A(6)=39) and (B(6)=47). Therefore (B(t)) is greater.

Step 3

Exam Tip

(A(6)=39) और (B(6)=47) है। इसलिए (B(t)) बड़ा है।

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

दो मॉडल (C(t)=100-6t) और (D(t)=85-3t) हैं। (t=5) पर सही तुलना क्या है?

Two models are (C(t)=100-6t) and (D(t)=85-3t). What is the correct comparison at (t=5)?

Explanation opens after your attempt
Correct Answer

C. (C(5)=D(5))

Step 1

Concept

(C(5)=70) and (D(5)=70). Therefore both are equal.

Step 2

Why this answer is correct

The correct answer is C. (C(5)=D(5)). (C(5)=70) and (D(5)=70). Therefore both are equal.

Step 3

Exam Tip

(C(5)=70) और (D(5)=70) हैं। इसलिए दोनों बराबर हैं।

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

यदि (T(t)=42+3t), तो (T(t)=72) कब होगा?

If (T(t)=42+3t), when will (T(t)=72)?

Explanation opens after your attempt
Correct Answer

C. (t=10)

Step 1

Concept

From (42+3t=72), (3t=30) and (t=10). Solve the equation for the target value.

Step 2

Why this answer is correct

The correct answer is C. (t=10). From (42+3t=72), (3t=30) and (t=10). Solve the equation for the target value.

Step 3

Exam Tip

(42+3t=72) से (3t=30) और (t=10) मिलता है। लक्ष्य मान के लिए समीकरण हल करें।

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

यदि (U(t)=120-10t), तो (U(t)=50) कब होगा?

If (U(t)=120-10t), when will (U(t)=50)?

Explanation opens after your attempt
Correct Answer

C. (t=7)

Step 1

Concept

From (120-10t=50), (10t=70) and (t=7). Move the subtraction term correctly in decay.

Step 2

Why this answer is correct

The correct answer is C. (t=7). From (120-10t=50), (10t=70) and (t=7). Move the subtraction term correctly in decay.

Step 3

Exam Tip

(120-10t=50) से (10t=70) और (t=7) मिलता है। क्षय में घटाव को सही दिशा में ले जाएं।

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

यदि (f(x)=18+4x), तो (f(x+3)-f(x)) का मान क्या है?

If (f(x)=18+4x), what is the value of (f(x+3)-f(x))?

Explanation opens after your attempt
Correct Answer

C. (12)

Step 1

Concept

When (x) increases by (3), rate (4) gives total increase (12). So the difference is (12).

Step 2

Why this answer is correct

The correct answer is C. (12). When (x) increases by (3), rate (4) gives total increase (12). So the difference is (12).

Step 3

Exam Tip

(x) में (3) की वृद्धि पर दर (4) के कारण कुल वृद्धि (12) होती है। इसलिए अंतर (12) है।

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

यदि (g(x)=95-7x), तो (g(x)-g(x+4)) का मान क्या है?

If (g(x)=95-7x), what is the value of (g(x)-g(x+4))?

Explanation opens after your attempt
Correct Answer

C. (28)

Step 1

Concept

When (x) increases by (4), the value decreases by \(7\times4=28\). So (g(x)-g(x+4)=28).

Step 2

Why this answer is correct

The correct answer is C. (28). When (x) increases by (4), the value decreases by \(7\times4=28\). So (g(x)-g(x+4)=28).

Step 3

Exam Tip

(x) में (4) की वृद्धि पर मान \(7\times4=28\) घटता है। इसलिए (g(x)-g(x+4)=28) है।

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

किस विकल्प में (x) बढ़ने पर (y) हर बार (6) बढ़ता है और (y(0)=14) है?

Which option has (y) increasing by (6) each time (x) increases and (y(0)=14)?

Explanation opens after your attempt
Correct Answer

B. (y=14+6x)

Step 1

Concept

For (y(0)=14), the constant must be (14), and the growth rate must be (6). So (y=14+6x).

Step 2

Why this answer is correct

The correct answer is B. (y=14+6x). For (y(0)=14), the constant must be (14), and the growth rate must be (6). So (y=14+6x).

Step 3

Exam Tip

(y(0)=14) के लिए नियतांक (14) चाहिए और वृद्धि दर (6) चाहिए। इसलिए (y=14+6x) है।

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

किस विकल्प में (x) बढ़ने पर (y) हर बार (5) घटता है और (y(0)=80) है?

Which option has (y) decreasing by (5) each time (x) increases and (y(0)=80)?

Explanation opens after your attempt
Correct Answer

C. (y=80-5x)

Step 1

Concept

The initial value must be (80) and the rate must be (-5). Therefore (y=80-5x) is correct.

Step 2

Why this answer is correct

The correct answer is C. (y=80-5x). The initial value must be (80) and the rate must be (-5). Therefore (y=80-5x) is correct.

Step 3

Exam Tip

आरंभिक मान (80) और दर (-5) चाहिए। इसलिए (y=80-5x) सही है।

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

यदि (y=55+3x), तो (x=9) पर (y) और (x=2) पर (y) में अंतर क्या है?

If (y=55+3x), what is the difference between (y) at (x=9) and (y) at (x=2)?

Explanation opens after your attempt
Correct Answer

B. (21)

Step 1

Concept

The difference in (x) is (9-2=7) and the rate is (3). So the difference is \(3\times7=21\).

Step 2

Why this answer is correct

The correct answer is B. (21). The difference in (x) is (9-2=7) and the rate is (3). So the difference is \(3\times7=21\).

Step 3

Exam Tip

(x) का अंतर (9-2=7) है और दर (3) है। इसलिए अंतर \(3\times7=21\) है।

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

यदि (y=130-8x), तो (x=3) पर (y) और (x=10) पर (y) में अंतर कितना है?

If (y=130-8x), what is the difference between (y) at (x=3) and (y) at (x=10)?

Explanation opens after your attempt
Correct Answer

C. (56)

Step 1

Concept

The difference in (x) is (10-3=7) and the decay rate is (8). So the difference is (56).

Step 2

Why this answer is correct

The correct answer is C. (56). The difference in (x) is (10-3=7) and the decay rate is (8). So the difference is (56).

Step 3

Exam Tip

(x) का अंतर (10-3=7) है और कमी दर (8) है। इसलिए अंतर (56) है।

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

एक मोबाइल डेटा प्लान में डेटा (D(d)=3+2.5d) जीबी है। (d=6) पर कुल डेटा क्या होगा?

In a mobile data plan, data is (D(d)=3+2.5d) GB. What will be the total data at (d=6)?

Explanation opens after your attempt
Correct Answer

C. (18) जीबी(18) GB

Step 1

Concept

(D(6)=3+2.5(6)=18). Multiply the decimal rate directly too.

Step 2

Why this answer is correct

The correct answer is C. (18) जीबी / (18) GB. (D(6)=3+2.5(6)=18). Multiply the decimal rate directly too.

Step 3

Exam Tip

(D(6)=3+2.5(6)=18) है। दशमलव दर को भी सीधे गुणा करें।

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

एक तापमान मॉडल (T(h)=38-2.5h) है। (h=8) पर तापमान क्या होगा?

A temperature model is (T(h)=38-2.5h). What will the temperature be at (h=8)?

Explanation opens after your attempt
Correct Answer

B. (18)

Step 1

Concept

(T(8)=38-2.5(8)=18). In decay subtract the decimal decrease too.

Step 2

Why this answer is correct

The correct answer is B. (18). (T(8)=38-2.5(8)=18). In decay subtract the decimal decrease too.

Step 3

Exam Tip

(T(8)=38-2.5(8)=18) है। क्षय में दशमलव कमी को भी घटाएं।

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

यदि (y=7+1.5x), तो (x=10) पर (y) क्या है?

If (y=7+1.5x), what is (y) at (x=10)?

Explanation opens after your attempt
Correct Answer

C. (22)

Step 1

Concept

(y=7+1.5(10)=22). Use the decimal coefficient like a normal coefficient.

Step 2

Why this answer is correct

The correct answer is C. (22). (y=7+1.5(10)=22). Use the decimal coefficient like a normal coefficient.

Step 3

Exam Tip

(y=7+1.5(10)=22) है। दशमलव गुणांक को सामान्य गुणांक की तरह इस्तेमाल करें।

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

यदि (y=64-3.5x), तो (x=12) पर (y) क्या है?

If (y=64-3.5x), what is (y) at (x=12)?

Explanation opens after your attempt
Correct Answer

B. (22)

Step 1

Concept

(y=64-3.5(12)=22). Multiply first and then subtract.

Step 2

Why this answer is correct

The correct answer is B. (22). (y=64-3.5(12)=22). Multiply first and then subtract.

Step 3

Exam Tip

(y=64-3.5(12)=22) है। पहले गुणा करें फिर घटाएं।

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

यदि (y=25+kx) रेखीय वृद्धि है और (k=0), तो कथन के बारे में क्या सही है?

If (y=25+kx) is linear growth and (k=0), what is correct about the statement?

Explanation opens after your attempt
Correct Answer

A. यह वृद्धि नहीं हैIt is not growth

Step 1

Concept

When (k=0), (y=25) remains constant. For growth, (k>0) is needed.

Step 2

Why this answer is correct

The correct answer is A. यह वृद्धि नहीं है / It is not growth. When (k=0), (y=25) remains constant. For growth, (k>0) is needed.

Step 3

Exam Tip

(k=0) होने पर (y=25) स्थिर रहता है। वृद्धि के लिए (k>0) चाहिए।

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

यदि (y=85-kx) रेखीय क्षय है और (k=0), तो कथन के बारे में क्या सही है?

If (y=85-kx) is linear decay and (k=0), what is correct about the statement?

Explanation opens after your attempt
Correct Answer

A. यह क्षय नहीं हैIt is not decay

Step 1

Concept

When (k=0), (y=85) remains constant. Decay needs an effective negative rate.

Step 2

Why this answer is correct

The correct answer is A. यह क्षय नहीं है / It is not decay. When (k=0), (y=85) remains constant. Decay needs an effective negative rate.

Step 3

Exam Tip

(k=0) होने पर (y=85) स्थिर रहता है। क्षय के लिए प्रभावी ऋणात्मक दर चाहिए।

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

एक क्लब में सदस्य (M(w)=45+3w) हैं। कितने सप्ताह बाद सदस्य (72) होंगे?

Members in a club are (M(w)=45+3w). After how many weeks will the members be (72)?

Explanation opens after your attempt
Correct Answer

C. (w=9)

Step 1

Concept

From (45+3w=72), (3w=27) and (w=9). Form an equation for the target number.

Step 2

Why this answer is correct

The correct answer is C. (w=9). From (45+3w=72), (3w=27) and (w=9). Form an equation for the target number.

Step 3

Exam Tip

(45+3w=72) से (3w=27) और (w=9) है। लक्ष्य संख्या के लिए समीकरण बनाएं।

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

एक गोदाम में सामान (I(d)=250-15d) बचता है। कब सामान (100) बचेगा?

Items left in a warehouse are (I(d)=250-15d). When will (100) items be left?

Explanation opens after your attempt
Correct Answer

C. (d=10)

Step 1

Concept

From (250-15d=100), (15d=150) and (d=10). In decay set the remaining amount equal to the target.

Step 2

Why this answer is correct

The correct answer is C. (d=10). From (250-15d=100), (15d=150) and (d=10). In decay set the remaining amount equal to the target.

Step 3

Exam Tip

(250-15d=100) से (15d=150) और (d=10) मिलता है। क्षय में बची मात्रा को लक्ष्य के बराबर रखें।

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

यदि (f(x)=4x+9), तो (f(5)+f(7)) का मान क्या है?

If (f(x)=4x+9), what is the value of (f(5)+f(7))?

Explanation opens after your attempt
Correct Answer

B. (66)

Step 1

Concept

(f(5)=29) and (f(7)=37). Adding gives (66).

Step 2

Why this answer is correct

The correct answer is B. (66). (f(5)=29) and (f(7)=37). Adding gives (66).

Step 3

Exam Tip

(f(5)=29) और (f(7)=37) हैं। जोड़ने पर (66) मिलता है।

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

यदि (g(x)=75-5x), तो (g(4)+g(9)) का मान क्या है?

If (g(x)=75-5x), what is the value of (g(4)+g(9))?

Explanation opens after your attempt
Correct Answer

A. (85)

Step 1

Concept

(g(4)=55) and (g(9)=30). Adding gives (85).

Step 2

Why this answer is correct

The correct answer is A. (85). (g(4)=55) and (g(9)=30). Adding gives (85).

Step 3

Exam Tip

(g(4)=55) और (g(9)=30) हैं। जोड़ने पर (85) मिलता है।

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

यदि (A(x)=18+5x) और (B(x)=30+3x), तो दोनों कब बराबर होंगे?

If (A(x)=18+5x) and (B(x)=30+3x), when will both be equal?

Explanation opens after your attempt
Correct Answer

C. (x=6)

Step 1

Concept

From (18+5x=30+3x), (2x=12) and (x=6). Set both rules equal for equality.

Step 2

Why this answer is correct

The correct answer is C. (x=6). From (18+5x=30+3x), (2x=12) and (x=6). Set both rules equal for equality.

Step 3

Exam Tip

(18+5x=30+3x) से (2x=12) और (x=6) मिलता है। बराबरी के लिए दोनों नियमों को बराबर रखें।

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

यदि (C(x)=140-8x) और (D(x)=100-3x), तो दोनों कब बराबर होंगे?

If (C(x)=140-8x) and (D(x)=100-3x), when will both be equal?

Explanation opens after your attempt
Correct Answer

B. (x=8)

Step 1

Concept

From (140-8x=100-3x), (40=5x) and (x=8). Equating both decay models gives the time.

Step 2

Why this answer is correct

The correct answer is B. (x=8). From (140-8x=100-3x), (40=5x) and (x=8). Equating both decay models gives the time.

Step 3

Exam Tip

(140-8x=100-3x) से (40=5x) और (x=8) मिलता है। दोनों क्षय मॉडल बराबर करने से समय मिलता है।

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

यदि (y=21+7x), तो (x) का कौन सा मान (y=77) देता है?

If (y=21+7x), which value of (x) gives (y=77)?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

From (21+7x=77), (7x=56) and (x=8). Substitute the target value and solve.

Step 2

Why this answer is correct

The correct answer is C. (8). From (21+7x=77), (7x=56) and (x=8). Substitute the target value and solve.

Step 3

Exam Tip

(21+7x=77) से (7x=56) और (x=8) मिलता है। लक्ष्य मान रखकर हल करें।

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

यदि (y=132-11x), तो (x) का कौन सा मान (y=55) देता है?

If (y=132-11x), which value of (x) gives (y=55)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

From (132-11x=55), (11x=77) and (x=7). Solve the decay equation carefully.

Step 2

Why this answer is correct

The correct answer is C. (7). From (132-11x=55), (11x=77) and (x=7). Solve the decay equation carefully.

Step 3

Exam Tip

(132-11x=55) से (11x=77) और (x=7) मिलता है। क्षय में समीकरण सावधानी से हल करें।

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

यदि (y=3x+42), तो (x) (2) से (12) तक बढ़ने पर (y) में क्या होगा?

If (y=3x+42), what happens to (y) when (x) increases from (2) to (12)?

Explanation opens after your attempt
Correct Answer

B. (30) बढ़ेगाIt increases by (30)

Step 1

Concept

The change in (x) is (10) and the rate is (3). So (y) increases by (30).

Step 2

Why this answer is correct

The correct answer is B. (30) बढ़ेगा / It increases by (30). The change in (x) is (10) and the rate is (3). So (y) increases by (30).

Step 3

Exam Tip

(x) में परिवर्तन (10) है और दर (3) है। इसलिए (y) (30) बढ़ेगा।

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

यदि (y=210-9x), तो (x) (4) से (14) तक बढ़ने पर (y) में क्या होगा?

If (y=210-9x), what happens to (y) when (x) increases from (4) to (14)?

Explanation opens after your attempt
Correct Answer

B. (90) घटेगाIt decreases by (90)

Step 1

Concept

The change in (x) is (10) and the decay rate is (9). So (y) decreases by (90).

Step 2

Why this answer is correct

The correct answer is B. (90) घटेगा / It decreases by (90). The change in (x) is (10) and the decay rate is (9). So (y) decreases by (90).

Step 3

Exam Tip

(x) में परिवर्तन (10) है और कमी दर (9) है। इसलिए (y) (90) घटेगा।

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

यदि (F(t)=20+rt) और (F(3)=41), तो (F(7)) क्या है?

If (F(t)=20+rt) and (F(3)=41), what is (F(7))?

Explanation opens after your attempt
Correct Answer

C. (69)

Step 1

Concept

From (20+3r=41), (r=7). Therefore (F(7)=20+49=69).

Step 2

Why this answer is correct

The correct answer is C. (69). From (20+3r=41), (r=7). Therefore (F(7)=20+49=69).

Step 3

Exam Tip

(20+3r=41) से (r=7) है। इसलिए (F(7)=20+49=69) है।

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

यदि (G(t)=q-5t) और (G(4)=60), तो (G(9)) क्या है?

If (G(t)=q-5t) and (G(4)=60), what is (G(9))?

Explanation opens after your attempt
Correct Answer

A. (35)

Step 1

Concept

From (q-20=60), (q=80). Therefore (G(9)=80-45=35).

Step 2

Why this answer is correct

The correct answer is A. (35). From (q-20=60), (q=80). Therefore (G(9)=80-45=35).

Step 3

Exam Tip

(q-20=60) से (q=80) है। इसलिए (G(9)=80-45=35) है।

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

यदि (y=34+8x), तो (x=1) से (x=6) तक (y) में कुल वृद्धि कितनी होगी?

If (y=34+8x), what will be the total increase in (y) from (x=1) to (x=6)?

Explanation opens after your attempt
Correct Answer

B. (40)

Step 1

Concept

The change in (x) is (6-1=5) and the growth rate is (8). Therefore the total increase is \(8\times5=40\).

Step 2

Why this answer is correct

The correct answer is B. (40). The change in (x) is (6-1=5) and the growth rate is (8). Therefore the total increase is \(8\times5=40\).

Step 3

Exam Tip

(x) में परिवर्तन (6-1=5) है और वृद्धि दर (8) है। इसलिए कुल वृद्धि \(8\times5=40\) है।

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

यदि (y=160-12x), तो (x=2) से (x=7) तक (y) में कुल कमी कितनी होगी?

If (y=160-12x), what will be the total decrease in (y) from (x=2) to (x=7)?

Explanation opens after your attempt
Correct Answer

B. (60)

Step 1

Concept

The change in (x) is (7-2=5) and the decay rate is (12). Therefore the total decrease is \(12\times5=60\).

Step 2

Why this answer is correct

The correct answer is B. (60). The change in (x) is (7-2=5) and the decay rate is (12). Therefore the total decrease is \(12\times5=60\).

Step 3

Exam Tip

(x) में परिवर्तन (7-2=5) है और कमी दर (12) है। इसलिए कुल कमी \(12\times5=60\) है।

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