Concept-wise Practice

linear_decay MCQ Questions for Class 9

linear_decay se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

272 questions tagged with linear_decay.

यदि (g(t)=b-8t) और (g(5), g(9), g(13)) का योग (288) है, तो (b) क्या है?

If (g(t)=b-8t) and the sum of (g(5), g(9), g(13)) is (288), what is (b)?

Explanation opens after your attempt
Correct Answer

A. (144)

Step 1

Concept

The sum is ((b-40)+(b-72)+(b-104)=3b-216). From (3b-216=288), (b=168), so option (D) is correct.

Step 2

Why this answer is correct

The correct answer is A. (144). The sum is ((b-40)+(b-72)+(b-104)=3b-216). From (3b-216=288), (b=168), so option (D) is correct.

Step 3

Exam Tip

योग ((b-40)+(b-72)+(b-104)=3b-216) है। (3b-216=288) से (b=168) नहीं बल्कि विकल्प (D) है।

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यदि (y=420-bx) में (x=8) से (x=16) तक (y) (152) घटता है, तो (b) क्या है?

If in (y=420-bx), (y) decreases by (152) from (x=8) to (x=16), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (19)

Step 1

Concept

The change in (x) is (8). The total decrease is (8b=152), so (b=19).

Step 2

Why this answer is correct

The correct answer is C. (19). The change in (x) is (8). The total decrease is (8b=152), so (b=19).

Step 3

Exam Tip

(x) में परिवर्तन (8) है। कुल कमी (8b=152) है इसलिए (b=19) है।

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यदि (Q(t)=420-12t), तो (Q(6)+Q(18)) किस एक (Q(k)) के दोगुने के बराबर है?

If (Q(t)=420-12t), (Q(6)+Q(18)) is equal to twice which (Q(k))?

Explanation opens after your attempt
Correct Answer

C. (Q(12))

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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यदि (g(x)=420-14x), तो (g(2x)-g(6x)) कब (224) होगा?

If (g(x)=420-14x), when will (g(2x)-g(6x)) be (224)?

Explanation opens after your attempt
Correct Answer

B. (x=4)

Step 1

Concept

(g(2x)-g(6x)=(420-28x)-(420-84x)=56x). From (56x=224), (x=4).

Step 2

Why this answer is correct

The correct answer is B. (x=4). (g(2x)-g(6x)=(420-28x)-(420-84x)=56x). From (56x=224), (x=4).

Step 3

Exam Tip

(g(2x)-g(6x)=(420-28x)-(420-84x)=56x) है। (56x=224) से (x=4) है।

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यदि (y=480-30x), तो (y) में (210) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=480-30x), by how much should (x) increase for (y) to decrease by (210)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The total decrease is \(30\Delta x\). From \(30\Delta x=210\), \(\Delta x=7\).

Step 2

Why this answer is correct

The correct answer is C. (7). The total decrease is \(30\Delta x\). From \(30\Delta x=210\), \(\Delta x=7\).

Step 3

Exam Tip

कुल कमी \(30\Delta x\) होगी। \(30\Delta x=210\) से \(\Delta x=7\) मिलता है।

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यदि (C(t)=390-11t) और (D(t)=270-22t), तो (C(t)-D(t)) किस प्रकार बदलता है?

If (C(t)=390-11t) and (D(t)=270-22t), how does (C(t)-D(t)) change?

Explanation opens after your attempt
Correct Answer

A. हर चरण (11) बढ़ता हैIt increases by (11) each step

Step 1

Concept

(C(t)-D(t)=120+11t). Therefore the difference of the two decay models increases.

Step 2

Why this answer is correct

The correct answer is A. हर चरण (11) बढ़ता है / It increases by (11) each step. (C(t)-D(t)=120+11t). Therefore the difference of the two decay models increases.

Step 3

Exam Tip

(C(t)-D(t)=120+11t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है।

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यदि (S(x)=s-13x) और (S(6)-S(15)=117), तो कौन सा निष्कर्ष सही है?

If (S(x)=s-13x) and (S(6)-S(15)=117), 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(6)-S(15)=(s-78)-(s-195)=117). 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(6)-S(15)=(s-78)-(s-195)=117). Therefore (s) can be any value.

Step 3

Exam Tip

(S(6)-S(15)=(s-78)-(s-195)=117) है। इसलिए (s) कोई भी हो सकता है।

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किस (k) के लिए (y=410-(k-8)x) रेखीय क्षय दिखाएगा?

For which (k) will (y=410-(k-8)x) show linear decay?

Explanation opens after your attempt
Correct Answer

A. (k>8)

Step 1

Concept

For decay the effective coefficient must be negative. From (-(k-8)<0), (k>8).

Step 2

Why this answer is correct

The correct answer is A. (k>8). For decay the effective coefficient must be negative. From (-(k-8)<0), (k>8).

Step 3

Exam Tip

क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-8)<0) से (k>8) मिलता है।

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यदि (Z(x)=b-15x) रेखीय क्षय है और (Z(4)+Z(8)=160), तो (b) क्या है?

If (Z(x)=b-15x) is linear decay and (Z(4)+Z(8)=160), what is (b)?

Explanation opens after your attempt
Correct Answer

B. (170)

Step 1

Concept

(Z(4)+Z(8)=(b-60)+(b-120)=2b-180). From (2b-180=160), (b=170).

Step 2

Why this answer is correct

The correct answer is B. (170). (Z(4)+Z(8)=(b-60)+(b-120)=2b-180). From (2b-180=160), (b=170).

Step 3

Exam Tip

(Z(4)+Z(8)=(b-60)+(b-120)=2b-180) है। (2b-180=160) से (b=170) मिलता है।

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यदि (K(t)=350-10t), तो (K(3t)-K(7t)) क्या है?

If (K(t)=350-10t), what is (K(3t)-K(7t))?

Explanation opens after your attempt
Correct Answer

B. (40t)

Step 1

Concept

(K(3t)=350-30t) and (K(7t)=350-70t). The difference is (40t).

Step 2

Why this answer is correct

The correct answer is B. (40t). (K(3t)=350-30t) and (K(7t)=350-70t). The difference is (40t).

Step 3

Exam Tip

(K(3t)=350-30t) और (K(7t)=350-70t) है। अंतर (40t) है।

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यदि (y=255-14x), तो (x) का कौन सा मान (y) को (3x) के बराबर बनाता है?

If (y=255-14x), which value of (x) makes (y) equal to (3x)?

Explanation opens after your attempt
Correct Answer

B. (x=15)

Step 1

Concept

The condition is (255-14x=3x). This gives (255=17x) and (x=15).

Step 2

Why this answer is correct

The correct answer is B. (x=15). The condition is (255-14x=3x). This gives (255=17x) and (x=15).

Step 3

Exam Tip

शर्त (255-14x=3x) है। इससे (255=17x) और (x=15) मिलता है।

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एक मशीन का मूल्य (V(y)=c-4200y) है। यदि (V(4)=53200), तो (V(11)) क्या होगा?

A machine's value is (V(y)=c-4200y). If (V(4)=53200), what will (V(11)) be?

Explanation opens after your attempt
Correct Answer

A. (23800)

Step 1

Concept

From (c-16800=53200), (c=70000). (V(11)=70000-46200=23800).

Step 2

Why this answer is correct

The correct answer is A. (23800). From (c-16800=53200), (c=70000). (V(11)=70000-46200=23800).

Step 3

Exam Tip

(c-16800=53200) से (c=70000) है। (V(11)=70000-46200=23800) है।

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यदि (G(t)=320-rt) और (G(4)=G(13)+144), तो (r) क्या है?

If (G(t)=320-rt) and (G(4)=G(13)+144), what is (r)?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

(G(4)-G(13)=9r). From (9r=144), (r=16).

Step 2

Why this answer is correct

The correct answer is C. (16). (G(4)-G(13)=9r). From (9r=144), (r=16).

Step 3

Exam Tip

(G(4)-G(13)=9r) है। (9r=144) से (r=16) मिलता है।

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किस विकल्प में (y) (x) के बढ़ने पर (16) प्रति चरण घटता है और (y(5)=78) है?

Which option makes (y) decrease by (16) per step and has (y(5)=78)?

Explanation opens after your attempt
Correct Answer

B. (y=158-16x)

Step 1

Concept

The rate is (-16), and (a-16(5)=78) gives (a=158). So (y=158-16x) is correct.

Step 2

Why this answer is correct

The correct answer is B. (y=158-16x). The rate is (-16), and (a-16(5)=78) gives (a=158). So (y=158-16x) is correct.

Step 3

Exam Tip

दर (-16) है और (a-16(5)=78) से (a=158) मिलता है। इसलिए (y=158-16x) सही है।

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मॉडल (R(t)=r-18t) में (R(3)=166) और (R(s)=40) है। (s) क्या है?

In the model (R(t)=r-18t), (R(3)=166) and (R(s)=40). What is (s)?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

From (R(3)=166), (r=220). From (220-18s=40), (s=10).

Step 2

Why this answer is correct

The correct answer is B. (10). From (R(3)=166), (r=220). From (220-18s=40), (s=10).

Step 3

Exam Tip

(R(3)=166) से (r=220) है। (220-18s=40) से (s=10) मिलता है।

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यदि (B(x)=360-14x), तो (B(x-3)-B(x+4)) का मान क्या है?

If (B(x)=360-14x), what is the value of (B(x-3)-B(x+4))?

Explanation opens after your attempt
Correct Answer

C. (98)

Step 1

Concept

Over ((x+4)-(x-3)=7) steps the value decreases by \(14\times7=98\). So the difference is (98).

Step 2

Why this answer is correct

The correct answer is C. (98). Over ((x+4)-(x-3)=7) steps the value decreases by \(14\times7=98\). So the difference is (98).

Step 3

Exam Tip

((x+4)-(x-3)=7) चरणों में मान \(14\times7=98\) घटता है। इसलिए अंतर (98) है।

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यदि (D(t)=340-kt) और (D(6)-D(14)=128), तो (k) क्या है?

If (D(t)=340-kt) and (D(6)-D(14)=128), what is (k)?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

(D(6)-D(14)=k(14-6)=8k). From (8k=128), (k=16).

Step 2

Why this answer is correct

The correct answer is C. (16). (D(6)-D(14)=k(14-6)=8k). From (8k=128), (k=16).

Step 3

Exam Tip

(D(6)-D(14)=k(14-6)=8k) है। (8k=128) से (k=16) मिलता है।

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एक मात्रा (x=5) पर (265) और (x=14) पर (130) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?

A quantity is (265) at (x=5) and (130) at (x=14). If the change is linear decay then what is the decrease per step?

Explanation opens after your attempt
Correct Answer

C. (15)

Step 1

Concept

The total decrease is (265-130=135) and there are (9) steps. The decrease per step is \(\frac{135}{9}=15\).

Step 2

Why this answer is correct

The correct answer is C. (15). The total decrease is (265-130=135) and there are (9) steps. The decrease per step is \(\frac{135}{9}=15\).

Step 3

Exam Tip

कुल कमी (265-130=135) और चरण (9) हैं। प्रति चरण कमी \(\frac{135}{9}=15\) है।

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यदि (y=190-7.5x), तो (x=3) से (x=11) तक (y) में कुल कमी कितनी होगी?

If (y=190-7.5x), what is the total decrease in (y) from (x=3) to (x=11)?

Explanation opens after your attempt
Correct Answer

C. (60)

Step 1

Concept

The change in (x) is (11-3=8). The total decrease is \(7.5\times8=60\).

Step 2

Why this answer is correct

The correct answer is C. (60). The change in (x) is (11-3=8). The total decrease is \(7.5\times8=60\).

Step 3

Exam Tip

(x) में परिवर्तन (11-3=8) है। कुल कमी \(7.5\times8=60\) है।

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यदि (g(x)=b-13x) और (g(5)=116), तो (g(12)) क्या होगा?

If (g(x)=b-13x) and (g(5)=116), what will (g(12)) be?

Explanation opens after your attempt
Correct Answer

A. (25)

Step 1

Concept

From (b-65=116), (b=181). Therefore (g(12)=181-156=25).

Step 2

Why this answer is correct

The correct answer is A. (25). From (b-65=116), (b=181). Therefore (g(12)=181-156=25).

Step 3

Exam Tip

(b-65=116) से (b=181) है। इसलिए (g(12)=181-156=25) है।

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एक टंकी में (t=2) पर (218) लीटर और (t=10) पर (122) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?

A tank has (218) litres at (t=2) and (122) litres at (t=10). What is the linear decay model?

Explanation opens after your attempt
Correct Answer

B. (W(t)=242-12t)

Step 1

Concept

The rate is \(\frac{122-218}{10-2}=-12\). From (218=a-12(2)), (a=242).

Step 2

Why this answer is correct

The correct answer is B. (W(t)=242-12t). The rate is \(\frac{122-218}{10-2}=-12\). From (218=a-12(2)), (a=242).

Step 3

Exam Tip

दर \(\frac{122-218}{10-2}=-12\) है। (218=a-12(2)) से (a=242) मिलता है।

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

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

Explanation opens after your attempt
Correct Answer

C. (142)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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

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

Explanation opens after your attempt
Correct Answer

C. (17)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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

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

Explanation opens after your attempt
Correct Answer

C. (Q(11))

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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

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

Explanation opens after your attempt
Correct Answer

B. (x=3)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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

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

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

कुल कमी \(25\Delta x\) होगी। \(25\Delta x=175\) से \(\Delta x=7\) मिलता है।

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

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

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

(C(t)-D(t)=100+9t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है।

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

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

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is A. हर (s) के लिए शर्त सही है / The condition is true for every (s). (S(5)-S(13)=(s-55)-(s-143)=88). Therefore (s) can be any value.

Step 3

Exam Tip

(S(5)-S(13)=(s-55)-(s-143)=88) है। इसलिए (s) कोई भी हो सकता है।

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

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

Explanation opens after your attempt
Correct Answer

A. (k>6)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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

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

Explanation opens after your attempt
Correct Answer

C. (140)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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