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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 38

किसी पौधे की ऊंचाई (t=2) पर (27) सेमी और (t=8) पर (69) सेमी है। यदि वृद्धि रेखीय है तो मॉडल क्या होगा?

A plant's height is (27) cm at (t=2) and (69) cm at (t=8). If the growth is linear then what is the model?

Explanation opens after your attempt

Correct Answer

A. (H(t)=13+7t)

Step 1

Concept

The rate is \(\frac{69-27}{8-2}=7\). From (27=a+7(2)), (a=13).

Step 2

Why this answer is correct

The correct answer is A. (H(t)=13+7t). The rate is \(\frac{69-27}{8-2}=7\). From (27=a+7(2)), (a=13).

Step 3

Exam Tip

दर \(\frac{69-27}{8-2}=7\) है। (27=a+7(2)) से (a=13) मिलता है।

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Question 2/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक टंकी में (t=1) पर (142) लीटर और (t=7) पर (88) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

A tank has (142) litres at (t=1) and (88) litres at (t=7). What is the linear decay model?

Explanation opens after your attempt

Correct Answer

B. (W(t)=151-9t)

Step 1

Concept

The rate is \(\frac{88-142}{7-1}=-9\). From (142=a-9(1)), (a=151).

Step 2

Why this answer is correct

The correct answer is B. (W(t)=151-9t). The rate is \(\frac{88-142}{7-1}=-9\). From (142=a-9(1)), (a=151).

Step 3

Exam Tip

दर \(\frac{88-142}{7-1}=-9\) है। (142=a-9(1)) से (a=151) मिलता है।

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Question 3/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

दो मॉडल (A(t)=45+8t) और (B(t)=129-4t) कब बराबर होंगे?

When will the two models (A(t)=45+8t) and (B(t)=129-4t) be equal?

Explanation opens after your attempt

Correct Answer

C. (t=7)

Step 1

Concept

For equality set (45+8t=129-4t). This gives (12t=84) and (t=7).

Step 2

Why this answer is correct

The correct answer is C. (t=7). For equality set (45+8t=129-4t). This gives (12t=84) and (t=7).

Step 3

Exam Tip

बराबरी के लिए (45+8t=129-4t) रखें। इससे (12t=84) और (t=7) मिलता है।

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Question 4/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (P(t)=38+6t) और (Q(t)=122-8t) है तो किस (t) पर (P(t)=Q(t)) होगा?

If (P(t)=38+6t) and (Q(t)=122-8t), at which (t) will (P(t)=Q(t))?

Explanation opens after your attempt

Correct Answer

B. (t=6)

Step 1

Concept

From (38+6t=122-8t), (14t=84). Therefore (t=6) is correct.

Step 2

Why this answer is correct

The correct answer is B. (t=6). From (38+6t=122-8t), (14t=84). Therefore (t=6) is correct.

Step 3

Exam Tip

(38+6t=122-8t) से (14t=84) 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 38

यदि (f(x)=a+11x) और (f(2)=61), तो (f(9)) क्या होगा?

If (f(x)=a+11x) and (f(2)=61), what will (f(9)) be?

Explanation opens after your attempt

Correct Answer

C. (138)

Step 1

Concept

From (a+22=61), (a=39). Then (f(9)=39+99=138).

Step 2

Why this answer is correct

The correct answer is C. (138). From (a+22=61), (a=39). Then (f(9)=39+99=138).

Step 3

Exam Tip

(a+22=61) से (a=39) मिलता है। फिर (f(9)=39+99=138) है।

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Question 6/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (g(x)=b-7x) और (g(6)=74), तो (g(13)) क्या होगा?

If (g(x)=b-7x) and (g(6)=74), what will (g(13)) be?

Explanation opens after your attempt

Correct Answer

A. (25)

Step 1

Concept

From (b-42=74), (b=116). Therefore (g(13)=116-91=25).

Step 2

Why this answer is correct

The correct answer is A. (25). From (b-42=74), (b=116). Therefore (g(13)=116-91=25).

Step 3

Exam Tip

(b-42=74) से (b=116) है। इसलिए (g(13)=116-91=25) है।

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Question 7/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=18+2.75x), तो (x=4) से (x=16) तक (y) में कुल वृद्धि कितनी होगी?

If (y=18+2.75x), what is the total increase in (y) from (x=4) to (x=16)?

Explanation opens after your attempt

Correct Answer

C. (33)

Step 1

Concept

The change in (x) is (16-4=12). The total increase is \(2.75\times12=33\).

Step 2

Why this answer is correct

The correct answer is C. (33). The change in (x) is (16-4=12). The total increase is \(2.75\times12=33\).

Step 3

Exam Tip

(x) में परिवर्तन (16-4=12) है। कुल वृद्धि \(2.75\times12=33\) है।

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Question 8/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=110-4.25x), तो (x=3) से (x=11) तक (y) में कुल कमी कितनी होगी?

If (y=110-4.25x), what is the total decrease in (y) from (x=3) to (x=11)?

Explanation opens after your attempt

Correct Answer

C. (34)

Step 1

Concept

The change in (x) is (11-3=8). The total decrease is \(4.25\times8=34\).

Step 2

Why this answer is correct

The correct answer is C. (34). The change in (x) is (11-3=8). The total decrease is \(4.25\times8=34\).

Step 3

Exam Tip

(x) में परिवर्तन (11-3=8) है। कुल कमी \(4.25\times8=34\) है।

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

एक राशि (x=5) पर (52) और (x=11) पर (106) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?

A quantity is (52) at (x=5) and (106) at (x=11). If the growth is linear then what is the increase per step?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

The increase per step is \(\frac{106-52}{11-5}=9\). In a linear model the rate remains constant.

Step 2

Why this answer is correct

The correct answer is C. (9). The increase per step is \(\frac{106-52}{11-5}=9\). In a linear model the rate remains constant.

Step 3

Exam Tip

प्रति चरण वृद्धि \(\frac{106-52}{11-5}=9\) है। रेखीय मॉडल में दर स्थिर रहती है।

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Question 10/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक मात्रा (x=2) पर (178) और (x=10) पर (82) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?

A quantity is (178) at (x=2) and (82) at (x=10). If the change is linear decay then what is the decrease per step?

Explanation opens after your attempt

Correct Answer

B. (12)

Step 1

Concept

The total decrease is (178-82=96) and there are (8) steps. The decrease per step is \(\frac{96}{8}=12\).

Step 2

Why this answer is correct

The correct answer is B. (12). The total decrease is (178-82=96) and there are (8) steps. The decrease per step is \(\frac{96}{8}=12\).

Step 3

Exam Tip

कुल कमी (178-82=96) और चरण (8) हैं। प्रति चरण कमी \(\frac{96}{8}=12\) है।

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Question 11/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (C(t)=31+kt) और (C(9)-C(4)=60), तो (k) क्या है?

If (C(t)=31+kt) and (C(9)-C(4)=60), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

(C(9)-C(4)=k(9-4)=5k). From (5k=60), (k=12).

Step 2

Why this answer is correct

The correct answer is C. (12). (C(9)-C(4)=k(9-4)=5k). From (5k=60), (k=12).

Step 3

Exam Tip

(C(9)-C(4)=k(9-4)=5k) है। (5k=60) से (k=12) मिलता है।

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Question 12/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (D(t)=190-kt) और (D(3)-D(12)=81), तो (k) क्या है?

If (D(t)=190-kt) and (D(3)-D(12)=81), what is (k)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

(D(3)-D(12)=k(12-3)=9k). From (9k=81), (k=9).

Step 2

Why this answer is correct

The correct answer is C. (9). (D(3)-D(12)=k(12-3)=9k). From (9k=81), (k=9).

Step 3

Exam Tip

(D(3)-D(12)=k(12-3)=9k) है। (9k=81) से (k=9) मिलता है।

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Question 13/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (A(x)=25+4x), तो (A(x+6)-A(x-1)) का मान क्या है?

If (A(x)=25+4x), what is the value of (A(x+6)-A(x-1))?

Explanation opens after your attempt

Correct Answer

C. (28)

Step 1

Concept

The variable difference is ((x+6)-(x-1)=7). With rate (4), the difference is (28).

Step 2

Why this answer is correct

The correct answer is C. (28). The variable difference is ((x+6)-(x-1)=7). With rate (4), the difference is (28).

Step 3

Exam Tip

चर में अंतर ((x+6)-(x-1)=7) है। दर (4) होने से अंतर (28) है।

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Question 14/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (B(x)=210-6x), तो (B(x-4)-B(x+2)) का मान क्या है?

If (B(x)=210-6x), what is the value of (B(x-4)-B(x+2))?

Explanation opens after your attempt

Correct Answer

C. (36)

Step 1

Concept

Over ((x+2)-(x-4)=6) steps the value decreases by \(6\times6=36\). So the difference is (36).

Step 2

Why this answer is correct

The correct answer is C. (36). Over ((x+2)-(x-4)=6) steps the value decreases by \(6\times6=36\). So the difference is (36).

Step 3

Exam Tip

((x+2)-(x-4)=6) चरणों में मान \(6\times6=36\) घटता है। इसलिए अंतर (36) है।

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Question 15/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

मॉडल (P(t)=p+9t) में (P(3)=82) और (P(s)=136) है। (s) क्या है?

In the model (P(t)=p+9t), (P(3)=82) and (P(s)=136). What is (s)?

Explanation opens after your attempt

Correct Answer

B. (9)

Step 1

Concept

From (P(3)=82), (p=55). From (55+9s=136), (s=9).

Step 2

Why this answer is correct

The correct answer is B. (9). From (P(3)=82), (p=55). From (55+9s=136), (s=9).

Step 3

Exam Tip

(P(3)=82) से (p=55) है। (55+9s=136) से (s=9) मिलता है।

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Question 16/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

मॉडल (R(t)=r-8t) में (R(5)=104) और (R(s)=48) है। (s) क्या है?

In the model (R(t)=r-8t), (R(5)=104) and (R(s)=48). What is (s)?

Explanation opens after your attempt

Correct Answer

C. (12)

Step 1

Concept

From (R(5)=104), (r=144). From (144-8s=48), (s=12).

Step 2

Why this answer is correct

The correct answer is C. (12). From (R(5)=104), (r=144). From (144-8s=48), (s=12).

Step 3

Exam Tip

(R(5)=104) से (r=144) है। (144-8s=48) से (s=12) मिलता है।

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Question 17/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस विकल्प में (y) (x) के बढ़ने पर (8) प्रति चरण बढ़ता है और (y(3)=50) है?

Which option makes (y) increase by (8) per step and has (y(3)=50)?

Explanation opens after your attempt

Correct Answer

A. (y=26+8x)

Step 1

Concept

The rate is (8), and (a+8(3)=50) gives (a=26). So (y=26+8x) is correct.

Step 2

Why this answer is correct

The correct answer is A. (y=26+8x). The rate is (8), and (a+8(3)=50) gives (a=26). So (y=26+8x) is correct.

Step 3

Exam Tip

दर (8) है और (a+8(3)=50) से (a=26) मिलता है। इसलिए (y=26+8x) सही है।

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Question 18/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस विकल्प में (y) (x) के बढ़ने पर (4) प्रति चरण घटता है और (y(7)=73) है?

Which option makes (y) decrease by (4) per step and has (y(7)=73)?

Explanation opens after your attempt

Correct Answer

B. (y=101-4x)

Step 1

Concept

The rate is (-4), and (a-4(7)=73) gives (a=101). So (y=101-4x) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=101-4x). The rate is (-4), and (a-4(7)=73) gives (a=101). So (y=101-4x) is correct.

Step 3

Exam Tip

दर (-4) है और (a-4(7)=73) से (a=101) मिलता है। इसलिए (y=101-4x) सही है।

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Question 19/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (M(t)=58+3t) और (N(t)=116-5t), तो (M(t)) कब (N(t)) से (14) अधिक होगा?

If (M(t)=58+3t) and (N(t)=116-5t), when will (M(t)) be (14) more than (N(t))?

Explanation opens after your attempt

Correct Answer

C. (t=9)

Step 1

Concept

The condition is (M(t)=N(t)+14). From (58+3t=130-5t), (8t=72) and (t=9).

Step 2

Why this answer is correct

The correct answer is C. (t=9). The condition is (M(t)=N(t)+14). From (58+3t=130-5t), (8t=72) and (t=9).

Step 3

Exam Tip

शर्त (M(t)=N(t)+14) है। (58+3t=130-5t) से (8t=72) और (t=9) मिलता है।

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Question 20/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (A(t)=170-9t) और (B(t)=38+4t), तो (A(t)) कब (B(t)) से (2) अधिक होगा?

If (A(t)=170-9t) and (B(t)=38+4t), when will (A(t)) be (2) more than (B(t))?

Explanation opens after your attempt

Correct Answer

C. (t=10)

Step 1

Concept

The condition is (170-9t=38+4t+2). This gives (130=13t) and (t=10).

Step 2

Why this answer is correct

The correct answer is C. (t=10). The condition is (170-9t=38+4t+2). This gives (130=13t) and (t=10).

Step 3

Exam Tip

शर्त (170-9t=38+4t+2) है। इससे (130=13t) और (t=10) मिलता है।

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Question 21/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (F(t)=45+rt) और (F(2)=F(9)-63), तो (r) क्या है?

If (F(t)=45+rt) and (F(2)=F(9)-63), what is (r)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

(F(9)-F(2)=7r). From (7r=63), (r=9).

Step 2

Why this answer is correct

The correct answer is C. (9). (F(9)-F(2)=7r). From (7r=63), (r=9).

Step 3

Exam Tip

(F(9)-F(2)=7r) है। (7r=63) से (r=9) मिलता है।

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Question 22/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (G(t)=180-rt) और (G(4)=G(12)+72), तो (r) क्या है?

If (G(t)=180-rt) and (G(4)=G(12)+72), what is (r)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

(G(4)-G(12)=8r). From (8r=72), (r=9).

Step 2

Why this answer is correct

The correct answer is C. (9). (G(4)-G(12)=8r). From (8r=72), (r=9).

Step 3

Exam Tip

(G(4)-G(12)=8r) है। (8r=72) से (r=9) मिलता है।

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Question 23/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक वस्तु की कीमत (P(n)=a+18n) है। यदि (P(5)=170), तो (P(11)) क्या है?

The price of an item is (P(n)=a+18n). If (P(5)=170), what is (P(11))?

Explanation opens after your attempt

Correct Answer

C. (278)

Step 1

Concept

From (a+90=170), (a=80). (P(11)=80+198=278).

Step 2

Why this answer is correct

The correct answer is C. (278). From (a+90=170), (a=80). (P(11)=80+198=278).

Step 3

Exam Tip

(a+90=170) से (a=80) है। (P(11)=80+198=278) है।

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Question 24/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक मशीन का मूल्य (V(y)=c-2200y) है। यदि (V(4)=31200), तो (V(9)) क्या होगा?

A machine's value is (V(y)=c-2200y). If (V(4)=31200), what will (V(9)) be?

Explanation opens after your attempt

Correct Answer

B. (20200)

Step 1

Concept

From (c-8800=31200), (c=40000). (V(9)=40000-19800=20200).

Step 2

Why this answer is correct

The correct answer is B. (20200). From (c-8800=31200), (c=40000). (V(9)=40000-19800=20200).

Step 3

Exam Tip

(c-8800=31200) से (c=40000) है। (V(9)=40000-19800=20200) है।

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Question 25/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=24+5x), तो (x) का कौन सा मान (y) को (9x) के बराबर बनाता है?

If (y=24+5x), which value of (x) makes (y) equal to (9x)?

Explanation opens after your attempt

Correct Answer

C. (x=6)

Step 1

Concept

The condition is (24+5x=9x). This gives (24=4x) and (x=6).

Step 2

Why this answer is correct

The correct answer is C. (x=6). The condition is (24+5x=9x). This gives (24=4x) and (x=6).

Step 3

Exam Tip

शर्त (24+5x=9x) है। इससे (24=4x) और (x=6) मिलता है।

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Question 26/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=126-7x), तो (x) का कौन सा मान (y) को (2x) के बराबर बनाता है?

If (y=126-7x), which value of (x) makes (y) equal to (2x)?

Explanation opens after your attempt

Correct Answer

B. (x=14)

Step 1

Concept

The condition is (126-7x=2x). This gives (126=9x) and (x=14).

Step 2

Why this answer is correct

The correct answer is B. (x=14). The condition is (126-7x=2x). This gives (126=9x) and (x=14).

Step 3

Exam Tip

शर्त (126-7x=2x) है। इससे (126=9x) और (x=14) मिलता है।

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Question 27/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (L(t)=4t+19), तो (L(5t)-L(2t)) क्या है?

If (L(t)=4t+19), what is (L(5t)-L(2t))?

Explanation opens after your attempt

Correct Answer

C. (12t)

Step 1

Concept

(L(5t)=20t+19) and (L(2t)=8t+19). The difference is (12t).

Step 2

Why this answer is correct

The correct answer is C. (12t). (L(5t)=20t+19) and (L(2t)=8t+19). The difference is (12t).

Step 3

Exam Tip

(L(5t)=20t+19) और (L(2t)=8t+19) है। अंतर (12t) है।

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Question 28/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (K(t)=150-6t), तो (K(t)-K(4t)) क्या है?

If (K(t)=150-6t), what is (K(t)-K(4t))?

Explanation opens after your attempt

Correct Answer

C. (18t)

Step 1

Concept

(K(4t)=150-24t). (K(t)-K(4t)=150-6t-(150-24t)=18t).

Step 2

Why this answer is correct

The correct answer is C. (18t). (K(4t)=150-24t). (K(t)-K(4t)=150-6t-(150-24t)=18t).

Step 3

Exam Tip

(K(4t)=150-24t) है। (K(t)-K(4t)=150-6t-(150-24t)=18t) है।

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Question 29/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Y(x)=a+7x) रेखीय वृद्धि है और (Y(2)+Y(8)=150), तो (a) क्या है?

If (Y(x)=a+7x) is linear growth and (Y(2)+Y(8)=150), what is (a)?

Explanation opens after your attempt

Correct Answer

B. (40)

Step 1

Concept

(Y(2)+Y(8)=(a+14)+(a+56)=2a+70). From (2a+70=150), (a=40).

Step 2

Why this answer is correct

The correct answer is B. (40). (Y(2)+Y(8)=(a+14)+(a+56)=2a+70). From (2a+70=150), (a=40).

Step 3

Exam Tip

(Y(2)+Y(8)=(a+14)+(a+56)=2a+70) है। (2a+70=150) से (a=40) मिलता है।

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Question 30/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Z(x)=b-9x) रेखीय क्षय है और (Z(3)+Z(5)=114), तो (b) क्या है?

If (Z(x)=b-9x) is linear decay and (Z(3)+Z(5)=114), what is (b)?

Explanation opens after your attempt

Correct Answer

C. (93)

Step 1

Concept

(Z(3)+Z(5)=(b-27)+(b-45)=2b-72). From (2b-72=114), (b=93).

Step 2

Why this answer is correct

The correct answer is C. (93). (Z(3)+Z(5)=(b-27)+(b-45)=2b-72). From (2b-72=114), (b=93).

Step 3

Exam Tip

(Z(3)+Z(5)=(b-27)+(b-45)=2b-72) है। (2b-72=114) से (b=93) मिलता है।

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Question 31/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (p(x)=27+6x) और (q(x)=9x-6), तो (p(x)) और (q(x)) कब बराबर होंगे?

If (p(x)=27+6x) and (q(x)=9x-6), when will (p(x)) and (q(x)) be equal?

Explanation opens after your attempt

Correct Answer

C. (x=11)

Step 1

Concept

Setting (27+6x=9x-6) gives (33=3x). Therefore (x=11).

Step 2

Why this answer is correct

The correct answer is C. (x=11). Setting (27+6x=9x-6) gives (33=3x). Therefore (x=11).

Step 3

Exam Tip

(27+6x=9x-6) रखने पर (33=3x) मिलता है। इसलिए (x=11) है।

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Question 32/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (p(x)=180-10x) और (q(x)=72+2x), तो (p(x)=q(x)) के लिए (x) क्या है?

If (p(x)=180-10x) and (q(x)=72+2x), what is (x) for (p(x)=q(x))?

Explanation opens after your attempt

Correct Answer

C. (x=9)

Step 1

Concept

From (180-10x=72+2x), (108=12x) and (x=9). Equate the growth and decay models.

Step 2

Why this answer is correct

The correct answer is C. (x=9). From (180-10x=72+2x), (108=12x) and (x=9). Equate the growth and decay models.

Step 3

Exam Tip

(180-10x=72+2x) से (108=12x) और (x=9) 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 38

किस (k) के लिए (y=40+(k-6)x) रेखीय वृद्धि दिखाएगा?

For which (k) will (y=40+(k-6)x) show linear growth?

Explanation opens after your attempt

Correct Answer

C. (k>6)

Step 1

Concept

For linear growth the coefficient of (x) must be positive. From (k-6>0), (k>6).

Step 2

Why this answer is correct

The correct answer is C. (k>6). For linear growth the coefficient of (x) must be positive. From (k-6>0), (k>6).

Step 3

Exam Tip

रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-6>0) से (k>6) मिलता है।

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Question 34/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस (k) के लिए (y=200-(k+2)x) रेखीय क्षय दिखाएगा?

For which (k) will (y=200-(k+2)x) show linear decay?

Explanation opens after your attempt

Correct Answer

A. (k>-2)

Step 1

Concept

For decay the effective coefficient must be negative. From (-(k+2)<0), (k>-2).

Step 2

Why this answer is correct

The correct answer is A. (k>-2). For decay the effective coefficient must be negative. From (-(k+2)<0), (k>-2).

Step 3

Exam Tip

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k+2)<0) से (k>-2) मिलता है।

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Question 35/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (R(x)=82+mx) और (R(10)-R(4)=72), तो (R(0)) क्या है?

If (R(x)=82+mx) and (R(10)-R(4)=72), what is (R(0))?

Explanation opens after your attempt

Correct Answer

C. (82)

Step 1

Concept

Here (R(0)=82) is directly the initial value. The difference gives (m=12), but the initial value remains the same.

Step 2

Why this answer is correct

The correct answer is C. (82). Here (R(0)=82) is directly the initial value. The difference gives (m=12), but the initial value remains the same.

Step 3

Exam Tip

यहां (R(0)=82) सीधे आरंभिक मान है। अंतर से (m=12) मिलता है पर आरंभिक मान वही रहता है।

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

यदि (S(x)=s-8x) और (S(2)-S(9)=56), तो कौन सा निष्कर्ष सही है?

If (S(x)=s-8x) and (S(2)-S(9)=56), 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^-16)-(s^-72)=56). 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^-16)-(s^-72)=56). Therefore (s) can be any value.

Step 3

Exam Tip

(S(2)-S(9)=(s^-16)-(s^-72)=56) 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 38

यदि (A(t)=34+5t) और (B(t)=55+9t), तो (B(t)-A(t)) किस प्रकार बदलता है?

If (A(t)=34+5t) and (B(t)=55+9t), 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)=21+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)=21+4t). Its coefficient is (4), so the difference increases.

Step 3

Exam Tip

(B(t)-A(t)=21+4t) है। इसका गुणांक (4) है इसलिए अंतर बढ़ता है।

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

यदि (C(t)=220-6t) और (D(t)=150-13t), तो (C(t)-D(t)) किस प्रकार बदलता है?

If (C(t)=220-6t) and (D(t)=150-13t), how does (C(t)-D(t)) change?

Explanation opens after your attempt

Correct Answer

A. हर चरण (7) बढ़ता हैIt increases by (7) each step

Step 1

Concept

(C(t)-D(t)=70+7t). Therefore the difference of the two decay models increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (7) बढ़ता है / It increases by (7) each step. (C(t)-D(t)=70+7t). Therefore the difference of the two decay models increases.

Step 3

Exam Tip

(C(t)-D(t)=70+7t) 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 38

यदि (y=48+12x), तो (x) में कितनी वृद्धि करने पर (y) (84) बढ़ेगा?

If (y=48+12x), by how much must (x) increase for (y) to increase by (84)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The total increase is \(12\Delta x\). From \(12\Delta x=84\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is C. (7). The total increase is \(12\Delta x\). From \(12\Delta x=84\), \(\Delta x=7\).

Step 3

Exam Tip

कुल वृद्धि \(12\Delta x\) होगी। \(12\Delta x=84\) 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 38

यदि (y=270-18x), तो (y) में (126) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=270-18x), by how much should (x) increase for (y) to decrease by (126)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The total decrease is \(18\Delta x\). From \(18\Delta x=126\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is C. (7). The total decrease is \(18\Delta x\). From \(18\Delta x=126\), \(\Delta x=7\).

Step 3

Exam Tip

कुल कमी \(18\Delta x\) होगी। \(18\Delta x=126\) से \(\Delta x=7\) मिलता है।

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Question 41/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (f(x)=8x+22), तो (f(3x)-f(x)) कब (80) होगा?

If (f(x)=8x+22), when will (f(3x)-f(x)) be (80)?

Explanation opens after your attempt

Correct Answer

B. (x=5)

Step 1

Concept

(f(3x)-f(x)=(24x+22)-(8x+22)=16x). From (16x=80), (x=5).

Step 2

Why this answer is correct

The correct answer is B. (x=5). (f(3x)-f(x)=(24x+22)-(8x+22)=16x). From (16x=80), (x=5).

Step 3

Exam Tip

(f(3x)-f(x)=(24x+22)-(8x+22)=16x) है। (16x=80) से (x=5) है।

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Question 42/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (g(x)=180-9x), तो (g(x)-g(3x)) कब (90) होगा?

If (g(x)=180-9x), when will (g(x)-g(3x)) be (90)?

Explanation opens after your attempt

Correct Answer

B. (x=5)

Step 1

Concept

(g(x)-g(3x)=(180-9x)-(180-27x)=18x). From (18x=90), (x=5).

Step 2

Why this answer is correct

The correct answer is B. (x=5). (g(x)-g(3x)=(180-9x)-(180-27x)=18x). From (18x=90), (x=5).

Step 3

Exam Tip

(g(x)-g(3x)=(180-9x)-(180-27x)=18x) है। (18x=90) से (x=5) है।

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Question 43/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (P(t)=50+4t), तो (P(4)+P(12)) किस एक (P(k)) के दोगुने के बराबर है?

If (P(t)=50+4t), (P(4)+P(12)) is equal to twice which (P(k))?

Explanation opens after your attempt

Correct Answer

C. (P(8))

Step 1

Concept

In a linear model the midpoint of (4) and (12) is (8). Therefore (P(4)+P(12)=2P(8)).

Step 2

Why this answer is correct

The correct answer is C. (P(8)). In a linear model the midpoint of (4) and (12) is (8). Therefore (P(4)+P(12)=2P(8)).

Step 3

Exam Tip

रेखीय मॉडल में (4) और (12) का मध्य (8) है। इसलिए (P(4)+P(12)=2P(8)) होता है।

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Question 44/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Q(t)=210-7t), तो (Q(3)+Q(15)) किस एक (Q(k)) के दोगुने के बराबर है?

If (Q(t)=210-7t), (Q(3)+Q(15)) is equal to twice which (Q(k))?

Explanation opens after your attempt

Correct Answer

B. (Q(9))

Step 1

Concept

In a linear model the midpoint of (3) and (15) is (9). Therefore (Q(3)+Q(15)=2Q(9)).

Step 2

Why this answer is correct

The correct answer is B. (Q(9)). In a linear model the midpoint of (3) and (15) is (9). Therefore (Q(3)+Q(15)=2Q(9)).

Step 3

Exam Tip

रेखीय मॉडल में (3) और (15) का मध्य (9) है। इसलिए (Q(3)+Q(15)=2Q(9)) होता है।

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Question 45/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=120+ax) में (x=6) से (x=14) तक (y) (88) बढ़ता है, तो (a) क्या है?

If in (y=120+ax), (y) increases by (88) from (x=6) to (x=14), what is (a)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

The change in (x) is (8). From (8a=88), (a=11).

Step 2

Why this answer is correct

The correct answer is C. (11). The change in (x) is (8). From (8a=88), (a=11).

Step 3

Exam Tip

(x) में परिवर्तन (8) है। (8a=88) से (a=11) मिलता है।

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Question 46/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=260-bx) में (x=5) से (x=13) तक (y) (104) घटता है, तो (b) क्या है?

If in (y=260-bx), (y) decreases by (104) from (x=5) to (x=13), what is (b)?

Explanation opens after your attempt

Correct Answer

C. (13)

Step 1

Concept

The change in (x) is (8). The total decrease is (8b=104), so (b=13).

Step 2

Why this answer is correct

The correct answer is C. (13). The change in (x) is (8). The total decrease is (8b=104), so (b=13).

Step 3

Exam Tip

(x) में परिवर्तन (8) है। कुल कमी (8b=104) है इसलिए (b=13) है।

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Question 47/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (A(t)=30+5t) और (B(t)=54+3t), तो किस (t) पर (A(t)) (B(t)) से (6) अधिक होगा?

If (A(t)=30+5t) and (B(t)=54+3t), at what (t) will (A(t)) be (6) more than (B(t))?

Explanation opens after your attempt

Correct Answer

D. (t=15)

Step 1

Concept

The condition is (30+5t=54+3t+6). This gives (2t=30) and (t=15).

Step 2

Why this answer is correct

The correct answer is D. (t=15). The condition is (30+5t=54+3t+6). This gives (2t=30) and (t=15).

Step 3

Exam Tip

शर्त (30+5t=54+3t+6) है। इससे (2t=30) और (t=15) मिलता है।

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Question 48/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (C(t)=200-8t) और (D(t)=70+4t), तो किस (t) पर (C(t)) (D(t)) से (10) कम होगा?

If (C(t)=200-8t) and (D(t)=70+4t), at what (t) will (C(t)) be (10) less than (D(t))?

Explanation opens after your attempt

Correct Answer

C. (t=12)

Step 1

Concept

The condition is (200-8t=70+4t-10). It gives (140=12t), so \(t=\frac{35}{3}\), hence no option is correct.

Step 2

Why this answer is correct

The correct answer is C. (t=12). The condition is (200-8t=70+4t-10). It gives (140=12t), so \(t=\frac{35}{3}\), hence no option is correct.

Step 3

Exam Tip

शर्त (200-8t=70+4t-10) है। इससे (140=12t) नहीं बल्कि \(t=\frac{35}{3}\) आता है इसलिए कोई विकल्प सही नहीं है।

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Question 49/50 Hard Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (f(t)=a+6t) और (f(1), f(5), f(9)) का योग (180) है, तो (a) क्या है?

If (f(t)=a+6t) and the sum of (f(1), f(5), f(9)) is (180), what is (a)?

Explanation opens after your attempt

Correct Answer

B. (30)

Step 1

Concept

The sum is ((a+6)+(a+30)+(a+54)=3a+90). From (3a+90=180), (a=30).

Step 2

Why this answer is correct

The correct answer is B. (30). The sum is ((a+6)+(a+30)+(a+54)=3a+90). From (3a+90=180), (a=30).

Step 3

Exam Tip

योग ((a+6)+(a+30)+(a+54)=3a+90) है। (3a+90=180) से (a=30) है।

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

यदि (g(t)=b-5t) और (g(2), g(6), g(10)) का योग (210) है, तो (b) क्या है?

If (g(t)=b-5t) and the sum of (g(2), g(6), g(10)) is (210), what is (b)?

Explanation opens after your attempt

Correct Answer

C. (100)

Step 1

Concept

The sum is ((b-10)+(b-30)+(b-50)=3b-90). From (3b-90=210), (b=100).

Step 2

Why this answer is correct

The correct answer is C. (100). The sum is ((b-10)+(b-30)+(b-50)=3b-90). From (3b-90=210), (b=100).

Step 3

Exam Tip

योग ((b-10)+(b-30)+(b-50)=3b-90) है। (3b-90=210) से (b=100) है।

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Class 9 Mathematics - Sequences and Progressions - Sequences Hard Quiz

किसी पौधे की ऊंचाई (t=2) पर (27) सेमी और (t=8) पर (69) सेमी है। यदि वृद्धि रेखीय है तो मॉडल क्या होगा?

Concept

Why this answer is correct

Exam Tip

एक टंकी में (t=1) पर (142) लीटर और (t=7) पर (88) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

Concept

Why this answer is correct

Exam Tip

दो मॉडल (A(t)=45+8t) और (B(t)=129-4t) कब बराबर होंगे?

Concept

Why this answer is correct

Exam Tip

यदि (P(t)=38+6t) और (Q(t)=122-8t) है तो किस (t) पर (P(t)=Q(t)) होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=a+11x) और (f(2)=61), तो (f(9)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (g(x)=b-7x) और (g(6)=74), तो (g(13)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (y=18+2.75x), तो (x=4) से (x=16) तक (y) में कुल वृद्धि कितनी होगी?

Concept

Why this answer is correct

Exam Tip

यदि (y=110-4.25x), तो (x=3) से (x=11) तक (y) में कुल कमी कितनी होगी?

Concept

Why this answer is correct

Exam Tip

एक राशि (x=5) पर (52) और (x=11) पर (106) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?

Concept

Why this answer is correct

Exam Tip

एक मात्रा (x=2) पर (178) और (x=10) पर (82) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (C(t)=31+kt) और (C(9)-C(4)=60), तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (D(t)=190-kt) और (D(3)-D(12)=81), तो (k) क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (A(x)=25+4x), तो (A(x+6)-A(x-1)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (B(x)=210-6x), तो (B(x-4)-B(x+2)) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

मॉडल (P(t)=p+9t) में (P(3)=82) और (P(s)=136) है। (s) क्या है?

Concept

Why this answer is correct

Exam Tip

मॉडल (R(t)=r-8t) में (R(5)=104) और (R(s)=48) है। (s) क्या है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में (y) (x) के बढ़ने पर (8) प्रति चरण बढ़ता है और (y(3)=50) है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में (y) (x) के बढ़ने पर (4) प्रति चरण घटता है और (y(7)=73) है?

Concept

Why this answer is correct

Exam Tip

यदि (M(t)=58+3t) और (N(t)=116-5t), तो (M(t)) कब (N(t)) से (14) अधिक होगा?

Concept

Why this answer is correct

Exam Tip

यदि (A(t)=170-9t) और (B(t)=38+4t), तो (A(t)) कब (B(t)) से (2) अधिक होगा?

Concept

Why this answer is correct