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Class 9 Mathematics - Introduction to Polynomials - Linear growth and decay Easy Quiz

Mathematics Introduction to Polynomials Linear growth and decay Easy Class 9 Topic Quiz

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Question 1/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि पौधे की ऊंचाई (h(t)=20+3t) सेमी है, तो यह किस प्रकार का परिवर्तन दिखाता है?

If the height of a plant is (h(t)=20+3t) cm, what type of change does it show?

Explanation opens after your attempt
Correct Answer

A. रेखीय वृद्धिLinear growth

Explanation

Simple Explanation

(t) का गुणांक (3) धनात्मक है। धनात्मक दर रेखीय वृद्धि दिखाती है। / The coefficient of (t) is (3), which is positive. A positive rate shows linear growth.

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Question 2/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि पानी की मात्रा (W(t)=50-4t) लीटर है, तो यह किस प्रकार का परिवर्तन है?

If the amount of water is (W(t)=50-4t) litres, what type of change is it?

Explanation opens after your attempt
Correct Answer

B. रेखीय क्षयLinear decay

Explanation

Simple Explanation

(t) का गुणांक (-4) ऋणात्मक है। ऋणात्मक दर रेखीय क्षय बताती है। / The coefficient of (t) is (-4), which is negative. A negative rate shows linear decay.

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Question 3/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

रेखीय नियम (C(d)=15+2d) में आरंभिक मान क्या है?

In the linear rule (C(d)=15+2d), what is the initial value?

Explanation opens after your attempt
Correct Answer

B. (15)

Explanation

Simple Explanation

आरंभिक मान (d=0) रखने पर मिलता है। (C(0)=15) है। / The initial value is found by putting (d=0). (C(0)=15).

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Question 4/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

रेखीय नियम (P(t)=80-5t) में प्रति इकाई परिवर्तन दर क्या है?

In the linear rule (P(t)=80-5t), what is the rate of change per unit?

Explanation opens after your attempt
Correct Answer

C. (-5)

Explanation

Simple Explanation

दर (t) के गुणांक के बराबर होती है। यहां दर (-5) है। / The rate equals the coefficient of (t). Here the rate is (-5).

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Question 5/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (S(t)=10+6t), तो (t=4) पर (S(t)) का मान क्या होगा?

If (S(t)=10+6t), what will be the value of (S(t)) at (t=4)?

Explanation opens after your attempt
Correct Answer

C. (34)

Explanation

Simple Explanation

(S(4)=10+6(4)=34) है। मान निकालने के लिए (t) की जगह दी गई संख्या रखें। / (S(4)=10+6(4)=34). Substitute the given number for (t) to find the value.

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Question 6/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (M(t)=90-7t), तो (t=5) पर (M(t)) का मान क्या है?

If (M(t)=90-7t), what is the value of (M(t)) at (t=5)?

Explanation opens after your attempt
Correct Answer

B. (55)

Explanation

Simple Explanation

(M(5)=90-7(5)=55) है। क्षय में घटाव सावधानी से करें। / (M(5)=90-7(5)=55). In decay, subtract carefully.

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Question 7/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक पुस्तकालय में किताबें (B(n)=100+8n) के अनुसार बढ़ती हैं। (n) का गुणांक क्या बताता है?

Books in a library increase according to (B(n)=100+8n). What does the coefficient of (n) show?

Explanation opens after your attempt
Correct Answer

B. हर चरण में (8) किताबों की वृद्धिIncrease of (8) books each step

Explanation

Simple Explanation

(n) का गुणांक (8) है। यह हर चरण में समान वृद्धि बताता है। / The coefficient of (n) is (8). It shows an equal increase at each step.

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Question 8/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि किसी टंकी में पानी (L(t)=60-3t) लीटर बचता है, तो (t=0) पर पानी कितना था?

If water left in a tank is (L(t)=60-3t) litres, how much water was there at (t=0)?

Explanation opens after your attempt
Correct Answer

C. (60) लीटर(60) litres

Explanation

Simple Explanation

(t=0) रखने पर (L(0)=60) मिलता है। यही आरंभिक मात्रा है। / Putting (t=0) gives (L(0)=60). This is the initial amount.

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Question 9/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

कौन सा नियम रेखीय वृद्धि को दिखाता है?

Which rule represents linear growth?

Explanation opens after your attempt
Correct Answer

B. (y=12+5x)

Explanation

Simple Explanation

रेखीय वृद्धि में (x) का गुणांक धनात्मक होता है। (y=12+5x) में दर (5) है। / In linear growth, the coefficient of (x) is positive. In (y=12+5x), the rate is (5).

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Question 10/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

कौन सा नियम रेखीय क्षय को दिखाता है?

Which rule represents linear decay?

Explanation opens after your attempt
Correct Answer

C. (y=25-3x)

Explanation

Simple Explanation

रेखीय क्षय में (x) का गुणांक ऋणात्मक होता है। (y=25-3x) में दर (-3) है। / In linear decay, the coefficient of (x) is negative. In (y=25-3x), the rate is (-3).

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Question 11/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (A(t)=12+4t), तो (t) में (1) बढ़ने पर (A(t)) कितना बढ़ेगा?

If (A(t)=12+4t), by how much will (A(t)) increase when (t) increases by (1)?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

रेखीय बहुपद में प्रति (1) वृद्धि गुणांक के बराबर होती है। यहां गुणांक (4) है। / In a linear polynomial, the increase per (1) unit equals the coefficient. Here the coefficient is (4).

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Question 12/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (R(t)=40-6t), तो (t) में (1) बढ़ने पर (R(t)) कितना घटेगा?

If (R(t)=40-6t), by how much will (R(t)) decrease when (t) increases by (1)?

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

गुणांक (-6) है इसलिए मान हर चरण में (6) घटता है। दर का चिन्ह दिशा बताता है। / The coefficient is (-6), so the value decreases by (6) each step. The sign of the rate shows the direction.

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Question 13/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक छात्र के अंक (N(w)=30+5w) से बढ़ते हैं। (w=3) पर अंक कितने होंगे?

A student's marks increase as (N(w)=30+5w). What will the marks be at (w=3)?

Explanation opens after your attempt
Correct Answer

C. (45)

Explanation

Simple Explanation

(N(3)=30+5(3)=45) है। दिए गए सप्ताह का मान रखें। / (N(3)=30+5(3)=45). Substitute the given week value.

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Question 14/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

एक बैटरी (B(h)=100-10h) प्रतिशत बचती है। (h=6) पर बैटरी कितनी बचेगी?

A battery remains (B(h)=100-10h) percent. How much battery will remain at (h=6)?

Explanation opens after your attempt
Correct Answer

B. (40%)

Explanation

Simple Explanation

(B(6)=100-10(6)=40) है। रेखीय क्षय में समान मात्रा घटती है। / (B(6)=100-10(6)=40). In linear decay, an equal amount decreases each time.

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Question 15/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि कीमत (P(n)=200+25n) है, तो (n=2) पर कीमत क्या होगी?

If the price is (P(n)=200+25n), what will the price be at (n=2)?

Explanation opens after your attempt
Correct Answer

B. (250)

Explanation

Simple Explanation

(P(2)=200+25(2)=250) है। स्थिर वृद्धि को गुणांक से पहचाने। / (P(2)=200+25(2)=250). Identify constant growth from the coefficient.

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Question 16/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि दूरी (D(t)=120-15t) किमी बचती है, तो (t=4) पर दूरी कितनी बचेगी?

If distance left is (D(t)=120-15t) km, how much distance will be left at (t=4)?

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Correct Answer

B. (60) किमी(60) km

Explanation

Simple Explanation

(D(4)=120-15(4)=60) है। घटते मॉडल में प्रारंभिक मान से कमी घटाएं। / (D(4)=120-15(4)=60). In a decreasing model, subtract the decrease from the initial value.

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Question 17/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

नियम (y=9+0x) किस प्रकार का है?

What type of rule is (y=9+0x)?

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Correct Answer

C. स्थिर मानConstant value

Explanation

Simple Explanation

(x) का गुणांक (0) है इसलिए मान नहीं बदलता। यह स्थिर मान है। / The coefficient of (x) is (0), so the value does not change. It is a constant value.

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Question 18/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (G(t)=5+9t), तो वृद्धि दर क्या है?

If (G(t)=5+9t), what is the growth rate?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

वृद्धि दर (t) के गुणांक के बराबर होती है। यहां गुणांक (9) है। / The growth rate equals the coefficient of (t). Here the coefficient is (9).

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Question 19/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (F(t)=72-8t), तो क्षय दर का परिमाण क्या है?

If (F(t)=72-8t), what is the magnitude of the decay rate?

Explanation opens after your attempt
Correct Answer

A. (8)

Explanation

Simple Explanation

दर (-8) है और उसका परिमाण (8) है। क्षय में घटने की मात्रा धनात्मक रूप में पूछी जा सकती है। / The rate is (-8), and its magnitude is (8). In decay, the amount of decrease may be asked as a positive value.

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Question 20/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस नियम में आरंभिक मान (25) और वृद्धि दर (4) है?

Which rule has initial value (25) and growth rate (4)?

Explanation opens after your attempt
Correct Answer

C. (y=25+4x)

Explanation

Simple Explanation

आरंभिक मान नियतांक पद (25) है और दर (x) का गुणांक (4) है। इसलिए (y=25+4x) सही है। / The initial value is the constant term (25), and the rate is the coefficient (4). So (y=25+4x) is correct.

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Question 21/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस नियम में आरंभिक मान (90) और क्षय दर (6) है?

Which rule has initial value (90) and decay rate (6)?

Explanation opens after your attempt
Correct Answer

B. (y=90-6x)

Explanation

Simple Explanation

क्षय में गुणांक ऋणात्मक होता है। आरंभिक मान (90) और दर (-6) से (y=90-6x) बनता है। / In decay, the coefficient is negative. Initial value (90) and rate (-6) give (y=90-6x).

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Question 22/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (T(d)=18+2d), तो (T(0)) क्या है?

If (T(d)=18+2d), what is (T(0))?

Explanation opens after your attempt
Correct Answer

C. (18)

Explanation

Simple Explanation

(d=0) रखने पर (T(0)=18) है। यह आरंभिक मान है। / Putting (d=0), (T(0)=18). This is the initial value.

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Question 23/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (V(t)=45-5t), तो (V(0)) क्या है?

If (V(t)=45-5t), what is (V(0))?

Explanation opens after your attempt
Correct Answer

C. (45)

Explanation

Simple Explanation

(t=0) रखने पर घटने वाला पद (0) हो जाता है। इसलिए (V(0)=45) है। / Putting (t=0), the decreasing term becomes (0). Therefore (V(0)=45).

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Question 24/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस विकल्प में समान वृद्धि (3) प्रति चरण है?

Which option has equal growth of (3) per step?

Explanation opens after your attempt
Correct Answer

A. (y=7+3x)

Explanation

Simple Explanation

(x) का गुणांक (3) है और वह धनात्मक है। इसलिए यह (3) प्रति चरण वृद्धि दिखाता है। / The coefficient of (x) is (3), and it is positive. So it shows growth of (3) per step.

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Question 25/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

किस विकल्प में समान कमी (4) प्रति चरण है?

Which option has equal decrease of (4) per step?

Explanation opens after your attempt
Correct Answer

B. (y=10-4x)

Explanation

Simple Explanation

(x) का गुणांक (-4) है। इसका अर्थ हर चरण में (4) की कमी है। / The coefficient of (x) is (-4). It means a decrease of (4) at each step.

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Question 26/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (H(t)=30+2t), तो (H(5)-H(3)) का मान क्या है?

If (H(t)=30+2t), what is the value of (H(5)-H(3))?

Explanation opens after your attempt
Correct Answer

B. (4)

Explanation

Simple Explanation

दो चरणों का अंतर है और हर चरण वृद्धि (2) है। इसलिए अंतर \(2\times2=4\) है। / There is a difference of two steps, and each step increases by (2). So the difference is \(2\times2=4\).

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Question 27/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (K(t)=70-3t), तो (K(2)-K(5)) का मान क्या है?

If (K(t)=70-3t), what is the value of (K(2)-K(5))?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(K(2)=64) और (K(5)=55) हैं। इसलिए अंतर (9) है। / (K(2)=64) and (K(5)=55). Therefore the difference is (9).

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Question 28/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

रेखीय वृद्धि में ग्राफ सामान्यतः किस दिशा में जाता है?

In linear growth, in which direction does the graph generally go?

Explanation opens after your attempt
Correct Answer

A. बाएं से दाएं ऊपरUpward from left to right

Explanation

Simple Explanation

धनात्मक दर होने पर मान बढ़ता है। इसलिए रेखा बाएं से दाएं ऊपर जाती है। / With a positive rate, the value increases. So the line goes upward from left to right.

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Question 29/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

रेखीय क्षय में ग्राफ सामान्यतः किस दिशा में जाता है?

In linear decay, in which direction does the graph generally go?

Explanation opens after your attempt
Correct Answer

B. बाएं से दाएं नीचेDownward from left to right

Explanation

Simple Explanation

ऋणात्मक दर होने पर मान घटता है। इसलिए रेखा बाएं से दाएं नीचे जाती है। / With a negative rate, the value decreases. So the line goes downward from left to right.

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Question 30/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Q(x)=6+2x), तो (Q(1)) क्या है?

If (Q(x)=6+2x), what is (Q(1))?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

(Q(1)=6+2=8) है। सरल प्रतिस्थापन में (x) की जगह (1) रखें। / (Q(1)=6+2=8). In simple substitution, put (1) in place of (x).

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Question 31/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (J(x)=25-2x), तो (J(4)) क्या है?

If (J(x)=25-2x), what is (J(4))?

Explanation opens after your attempt
Correct Answer

A. (17)

Explanation

Simple Explanation

(J(4)=25-2(4)=17) है। पहले गुणा करें फिर घटाएं। / (J(4)=25-2(4)=17). Multiply first and then subtract.

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Question 32/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि किसी पौधे की ऊंचाई हर दिन (2) सेमी बढ़ती है और शुरू में (10) सेमी है, तो नियम कौन सा होगा?

If a plant grows by (2) cm each day and starts at (10) cm, which rule represents it?

Explanation opens after your attempt
Correct Answer

C. (h(d)=10+2d)

Explanation

Simple Explanation

आरंभिक मान (10) है और वृद्धि दर (2) है। इसलिए नियम (h(d)=10+2d) होगा। / The initial value is (10), and the growth rate is (2). So the rule is (h(d)=10+2d).

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Question 33/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि डिब्बे में (40) टॉफियां हैं और हर दिन (5) कम होती हैं, तो नियम कौन सा होगा?

If a box has (40) candies and (5) decrease each day, which rule represents it?

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Correct Answer

B. (c(d)=40-5d)

Explanation

Simple Explanation

आरंभिक मात्रा (40) है और कमी (5) प्रति दिन है। इसलिए नियम (c(d)=40-5d) है। / The initial amount is (40), and the decrease is (5) per day. So the rule is (c(d)=40-5d).

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Question 34/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (E(t)=11+3t), तो (E(2)) और (E(3)) के बीच अंतर क्या है?

If (E(t)=11+3t), what is the difference between (E(2)) and (E(3))?

Explanation opens after your attempt
Correct Answer

B. (3)

Explanation

Simple Explanation

लगातार दो मानों का अंतर वृद्धि दर के बराबर होता है। यहां दर (3) है। / The difference between consecutive values equals the growth rate. Here the rate is (3).

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Question 35/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Z(t)=100-9t), तो (Z(1)) और (Z(2)) में कमी कितनी है?

If (Z(t)=100-9t), what is the decrease from (Z(1)) to (Z(2))?

Explanation opens after your attempt
Correct Answer

A. (9)

Explanation

Simple Explanation

लगातार दो चरणों में कमी दर के परिमाण के बराबर होती है। यहां कमी (9) है। / The decrease between two consecutive steps equals the magnitude of the rate. Here the decrease is (9).

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Question 36/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

रेखीय वृद्धि (y=a+bx) में (b) के लिए कौन सी बात सही है?

In linear growth (y=a+bx), which statement is true about (b)?

Explanation opens after your attempt
Correct Answer

A. (b) धनात्मक होता है(b) is positive

Explanation

Simple Explanation

वृद्धि में मान बढ़ता है इसलिए दर धनात्मक होती है। (b) दर को दिखाता है। / In growth, the value increases, so the rate is positive. (b) represents the rate.

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Question 37/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

रेखीय क्षय (y=a-bx) में (b>0) होने पर (x) बढ़ने से (y) क्या होता है?

In linear decay (y=a-bx), when (b>0), what happens to (y) as (x) increases?

Explanation opens after your attempt
Correct Answer

B. (y) घटता है(y) decreases

Explanation

Simple Explanation

(a-bx) में (x) बढ़ने पर घटाया गया भाग बढ़ता है। इसलिए (y) घटता है। / In (a-bx), the subtracted part increases as (x) increases. Therefore (y) decreases.

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Question 38/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (Y(t)=2t+1), तो (t=0) से (t=3) तक कुल वृद्धि कितनी है?

If (Y(t)=2t+1), what is the total increase from (t=0) to (t=3)?

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Correct Answer

C. (6)

Explanation

Simple Explanation

दर (2) है और (3) चरण हैं। कुल वृद्धि \(2\times3=6\) है। / The rate is (2), and there are (3) steps. The total increase is \(2\times3=6\).

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Question 39/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (U(t)=50-4t), तो (t=0) से (t=5) तक कुल कमी कितनी है?

If (U(t)=50-4t), what is the total decrease from (t=0) to (t=5)?

Explanation opens after your attempt
Correct Answer

C. (20)

Explanation

Simple Explanation

कमी दर (4) है और (5) चरण हैं। कुल कमी \(4\times5=20\) है। / The decrease rate is (4), and there are (5) steps. The total decrease is \(4\times5=20\).

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Question 40/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

कौन सा कथन (y=14+6x) के लिए सही है?

Which statement is correct for (y=14+6x)?

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Correct Answer

B. यह रेखीय वृद्धि हैIt is linear growth

Explanation

Simple Explanation

(x) का गुणांक (6) धनात्मक है। इसलिए यह रेखीय वृद्धि है। / The coefficient of (x) is (6), which is positive. Therefore it is linear growth.

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Question 41/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

कौन सा कथन (y=35-7x) के लिए सही है?

Which statement is correct for (y=35-7x)?

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Correct Answer

B. यह रेखीय क्षय हैIt is linear decay

Explanation

Simple Explanation

(x) का गुणांक (-7) ऋणात्मक है। इसलिए यह रेखीय क्षय है। / The coefficient of (x) is (-7), which is negative. Therefore it is linear decay.

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Question 42/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (I(t)=3t+12), तो (t=6) पर (I(t)) क्या है?

If (I(t)=3t+12), what is (I(t)) at (t=6)?

Explanation opens after your attempt
Correct Answer

C. (30)

Explanation

Simple Explanation

(I(6)=3(6)+12=30) है। पहले गुणा करें फिर जोड़ें। / (I(6)=3(6)+12=30). Multiply first and then add.

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Question 43/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (O(t)=64-6t), तो (t=7) पर (O(t)) क्या है?

If (O(t)=64-6t), what is (O(t)) at (t=7)?

Explanation opens after your attempt
Correct Answer

A. (22)

Explanation

Simple Explanation

(O(7)=64-6(7)=22) है। घटाव करते समय चिन्ह पर ध्यान दें। / (O(7)=64-6(7)=22). Pay attention to the sign while subtracting.

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Question 44/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (X(t)=5+4t), तो (X(3)) और (X(0)) का अंतर क्या है?

If (X(t)=5+4t), what is the difference between (X(3)) and (X(0))?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

(3) चरणों में हर बार (4) वृद्धि होती है। कुल अंतर (12) है। / In (3) steps, the increase is (4) each time. The total difference is (12).

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Question 45/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (N(t)=80-2t), तो (N(0)-N(10)) का मान क्या है?

If (N(t)=80-2t), what is the value of (N(0)-N(10))?

Explanation opens after your attempt
Correct Answer

B. (20)

Explanation

Simple Explanation

(10) चरणों में प्रति चरण (2) की कमी है। कुल कमी (20) है। / There is a decrease of (2) per step for (10) steps. The total decrease is (20).

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Question 46/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

नियम (y=2x+7) में (x) के गुणांक का अर्थ क्या है?

In the rule (y=2x+7), what does the coefficient of (x) mean?

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Correct Answer

B. हर चरण में (2) की वृद्धिIncrease of (2) each step

Explanation

Simple Explanation

(x) का गुणांक (2) है। यह प्रति चरण वृद्धि दर बताता है। / The coefficient of (x) is (2). It shows the growth rate per step.

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Question 47/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

नियम (y=60-5x) में (5) क्या बताता है?

In the rule (y=60-5x), what does (5) represent?

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Correct Answer

B. प्रति चरण कमीDecrease per step

Explanation

Simple Explanation

(-5x) बताता है कि हर चरण में (5) की कमी होती है। (60) आरंभिक मान है। / (-5x) shows that (5) decreases each step. (60) is the initial value.

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Question 48/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (P(t)=a+3t) और (P(0)=12), तो (a) क्या है?

If (P(t)=a+3t) and (P(0)=12), what is (a)?

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Correct Answer

C. (12)

Explanation

Simple Explanation

(t=0) रखने पर (P(0)=a) होता है। इसलिए (a=12) है। / Putting (t=0), (P(0)=a). Therefore (a=12).

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Question 49/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (R(t)=b-4t) और (R(0)=25), तो (b) क्या है?

If (R(t)=b-4t) and (R(0)=25), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (25)

Explanation

Simple Explanation

(t=0) रखने पर (R(0)=b) होता है। इसलिए (b=25) है। / Putting (t=0), (R(0)=b). Therefore (b=25).

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Question 50/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 38

यदि (y=10+kt) रेखीय वृद्धि है, तो (k) के लिए कौन सी बात सही होनी चाहिए?

If (y=10+kt) is linear growth, what must be true about (k)?

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Correct Answer

A. (k>0)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए दर धनात्मक होनी चाहिए। इसलिए (k>0) सही है। / For linear growth, the rate must be positive. Therefore (k>0) is correct.

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Question 51/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि किसी पौधे की ऊंचाई (H(d)=12+4d) सेमी है, तो यह किस प्रकार का परिवर्तन है?

If the height of a plant is (H(d)=12+4d) cm, what type of change is it?

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Correct Answer

B. रेखीय वृद्धिLinear growth

Explanation

Simple Explanation

(d) का गुणांक (4) धनात्मक है। धनात्मक दर रेखीय वृद्धि दिखाती है। / The coefficient of (d) is (4), which is positive. A positive rate shows linear growth.

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Question 52/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि टंकी में पानी (W(t)=75-5t) लीटर है, तो यह किस प्रकार का परिवर्तन है?

If water in a tank is (W(t)=75-5t) litres, what type of change is it?

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Correct Answer

C. रेखीय क्षयLinear decay

Explanation

Simple Explanation

(t) का गुणांक (-5) ऋणात्मक है। ऋणात्मक दर रेखीय क्षय बताती है। / The coefficient of (t) is (-5), which is negative. A negative rate shows linear decay.

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Question 53/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

रेखीय नियम (P(n)=40+6n) में आरंभिक मान क्या है?

In the linear rule (P(n)=40+6n), what is the initial value?

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Correct Answer

A. (40)

Explanation

Simple Explanation

आरंभिक मान (n=0) रखने पर मिलता है। (P(0)=40) है। / The initial value is found by putting (n=0). (P(0)=40).

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Question 54/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

रेखीय नियम (S(t)=120-8t) में प्रति इकाई परिवर्तन दर क्या है?

In the linear rule (S(t)=120-8t), what is the rate of change per unit?

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Correct Answer

D. (-8)

Explanation

Simple Explanation

दर (t) के गुणांक के बराबर होती है। यहां दर (-8) है। / The rate equals the coefficient of (t). Here the rate is (-8).

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Question 55/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (A(t)=9+7t), तो (t=3) पर (A(t)) का मान क्या है?

If (A(t)=9+7t), what is the value of (A(t)) at (t=3)?

Explanation opens after your attempt
Correct Answer

A. (30)

Explanation

Simple Explanation

(A(3)=9+7(3)=30) है। मान निकालने के लिए (t) की जगह दी गई संख्या रखें। / (A(3)=9+7(3)=30). Substitute the given number for (t) to find the value.

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Question 56/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (B(h)=96-6h), तो (h=4) पर (B(h)) का मान क्या है?

If (B(h)=96-6h), what is the value of (B(h)) at (h=4)?

Explanation opens after your attempt
Correct Answer

C. (72)

Explanation

Simple Explanation

(B(4)=96-6(4)=72) है। घटते मॉडल में पहले गुणा करें फिर घटाएं। / (B(4)=96-6(4)=72). In a decreasing model, multiply first and then subtract.

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Question 57/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

किस नियम में समान वृद्धि (9) प्रति चरण है?

Which rule has equal growth of (9) per step?

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Correct Answer

B. (y=14+9x)

Explanation

Simple Explanation

(x) का गुणांक (9) धनात्मक है। इसलिए यह हर चरण (9) की वृद्धि दिखाता है। / The coefficient of (x) is (9), which is positive. So it shows an increase of (9) each step.

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Question 58/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

किस नियम में समान कमी (7) प्रति चरण है?

Which rule has equal decrease of (7) per step?

Explanation opens after your attempt
Correct Answer

D. (y=50-7x)

Explanation

Simple Explanation

(x) का गुणांक (-7) है। इसका अर्थ हर चरण में (7) की कमी है। / The coefficient of (x) is (-7). It means a decrease of (7) at each step.

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Question 59/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (C(d)=25+5d), तो (d) में (1) बढ़ने पर (C(d)) कितना बढ़ेगा?

If (C(d)=25+5d), by how much will (C(d)) increase when (d) increases by (1)?

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

रेखीय वृद्धि में प्रति (1) चरण वृद्धि गुणांक के बराबर होती है। यहां गुणांक (5) है। / In linear growth, the increase per (1) step equals the coefficient. Here the coefficient is (5).

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Question 60/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (D(t)=88-4t), तो (t) में (1) बढ़ने पर (D(t)) कितना घटेगा?

If (D(t)=88-4t), by how much will (D(t)) decrease when (t) increases by (1)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

गुणांक (-4) है इसलिए मान हर चरण में (4) घटता है। घटने की मात्रा धनात्मक रूप में (4) है। / The coefficient is (-4), so the value decreases by (4) each step. The amount of decrease is (4) in positive form.

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Question 61/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

एक छात्र के अभ्यास प्रश्न (Q(w)=20+10w) से बढ़ते हैं। (w=4) पर प्रश्न कितने होंगे?

A student's practice questions increase as (Q(w)=20+10w). How many questions will there be at (w=4)?

Explanation opens after your attempt
Correct Answer

B. (60)

Explanation

Simple Explanation

(Q(4)=20+10(4)=60) है। दिए गए (w) का मान सीधे रखें। / (Q(4)=20+10(4)=60). Substitute the given value of (w) directly.

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Question 62/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

एक बैग में चावल (R(d)=55-3d) किग्रा बचता है। (d=5) पर चावल कितना बचेगा?

Rice left in a bag is (R(d)=55-3d) kg. How much rice will remain at (d=5)?

Explanation opens after your attempt
Correct Answer

D. (40) किग्रा(40) kg

Explanation

Simple Explanation

(R(5)=55-3(5)=40) है। रेखीय क्षय में समान मात्रा घटती है। / (R(5)=55-3(5)=40). In linear decay, an equal amount decreases each time.

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Question 63/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (M(x)=18+2x), तो (M(6)) क्या है?

If (M(x)=18+2x), what is (M(6))?

Explanation opens after your attempt
Correct Answer

B. (30)

Explanation

Simple Explanation

(M(6)=18+2(6)=30) है। पहले गुणा करें फिर जोड़ें। / (M(6)=18+2(6)=30). Multiply first and then add.

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Question 64/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (N(x)=45-5x), तो (N(7)) क्या है?

If (N(x)=45-5x), what is (N(7))?

Explanation opens after your attempt
Correct Answer

A. (10)

Explanation

Simple Explanation

(N(7)=45-5(7)=10) है। घटाव करते समय चिन्ह पर ध्यान दें। / (N(7)=45-5(7)=10). Pay attention to the sign while subtracting.

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Question 65/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

किस नियम में आरंभिक मान (18) और वृद्धि दर (6) है?

Which rule has initial value (18) and growth rate (6)?

Explanation opens after your attempt
Correct Answer

C. (y=18+6x)

Explanation

Simple Explanation

आरंभिक मान नियतांक पद (18) है और वृद्धि दर (6) है। इसलिए (y=18+6x) सही है। / The initial value is the constant term (18), and the growth rate is (6). So (y=18+6x) is correct.

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Question 66/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

किस नियम में आरंभिक मान (64) और क्षय दर (8) है?

Which rule has initial value (64) and decay rate (8)?

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Correct Answer

D. (y=64-8x)

Explanation

Simple Explanation

क्षय में गुणांक ऋणात्मक होता है। आरंभिक मान (64) और दर (-8) से (y=64-8x) बनता है। / In decay, the coefficient is negative. Initial value (64) and rate (-8) give (y=64-8x).

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Question 67/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (F(t)=13+4t), तो (F(0)) क्या है?

If (F(t)=13+4t), what is (F(0))?

Explanation opens after your attempt
Correct Answer

A. (13)

Explanation

Simple Explanation

(t=0) रखने पर (F(0)=13) है। यह आरंभिक मान है। / Putting (t=0), (F(0)=13). This is the initial value.

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Question 68/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (G(t)=82-9t), तो (G(0)) क्या है?

If (G(t)=82-9t), what is (G(0))?

Explanation opens after your attempt
Correct Answer

B. (82)

Explanation

Simple Explanation

(t=0) रखने पर घटने वाला पद (0) हो जाता है। इसलिए (G(0)=82) है। / Putting (t=0), the decreasing term becomes (0). Therefore (G(0)=82).

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Question 69/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (L(t)=16+3t), तो (L(5)-L(2)) का मान क्या है?

If (L(t)=16+3t), what is the value of (L(5)-L(2))?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

(3) चरणों का अंतर है और हर चरण वृद्धि (3) है। इसलिए अंतर (9) है। / There is a difference of (3) steps, and each step increases by (3). So the difference is (9).

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Question 70/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (T(t)=100-12t), तो (T(1)-T(3)) का मान क्या है?

If (T(t)=100-12t), what is the value of (T(1)-T(3))?

Explanation opens after your attempt
Correct Answer

B. (24)

Explanation

Simple Explanation

(T(1)=88) और (T(3)=64) हैं। इसलिए अंतर (24) है। / (T(1)=88) and (T(3)=64). Therefore the difference is (24).

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Question 71/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=20+0x), तो यह किस प्रकार का मान दिखाता है?

If (y=20+0x), what type of value does it show?

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Correct Answer

C. स्थिर मानConstant value

Explanation

Simple Explanation

(x) का गुणांक (0) है इसलिए मान नहीं बदलता। यह स्थिर मान है। / The coefficient of (x) is (0), so the value does not change. It is a constant value.

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Question 72/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (Z(t)=7+11t), तो वृद्धि दर क्या है?

If (Z(t)=7+11t), what is the growth rate?

Explanation opens after your attempt
Correct Answer

C. (11)

Explanation

Simple Explanation

वृद्धि दर (t) के गुणांक के बराबर होती है। यहां गुणांक (11) है। / The growth rate equals the coefficient of (t). Here the coefficient is (11).

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Question 73/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (V(t)=90-15t), तो क्षय दर का परिमाण क्या है?

If (V(t)=90-15t), what is the magnitude of the decay rate?

Explanation opens after your attempt
Correct Answer

D. (15)

Explanation

Simple Explanation

दर (-15) है और उसका परिमाण (15) है। क्षय की मात्रा धनात्मक रूप में ली जाती है। / The rate is (-15), and its magnitude is (15). The amount of decay is taken in positive form.

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Question 74/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि कोई राशि शुरू में (22) है और हर चरण (4) बढ़ती है, तो नियम कौन सा होगा?

If a quantity starts at (22) and increases by (4) each step, which rule represents it?

Explanation opens after your attempt
Correct Answer

A. (y=22+4x)

Explanation

Simple Explanation

आरंभिक मान (22) है और वृद्धि दर (4) है। इसलिए (y=22+4x) सही है। / The initial value is (22), and the growth rate is (4). So (y=22+4x) is correct.

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Question 75/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि कोई राशि शुरू में (70) है और हर चरण (5) घटती है, तो नियम कौन सा होगा?

If a quantity starts at (70) and decreases by (5) each step, which rule represents it?

Explanation opens after your attempt
Correct Answer

C. (y=70-5x)

Explanation

Simple Explanation

आरंभिक मान (70) है और कमी (5) प्रति चरण है। इसलिए (y=70-5x) सही है। / The initial value is (70), and the decrease is (5) per step. So (y=70-5x) is correct.

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Question 76/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (E(t)=10+8t), तो (E(2)) और (E(3)) के बीच अंतर क्या है?

If (E(t)=10+8t), what is the difference between (E(2)) and (E(3))?

Explanation opens after your attempt
Correct Answer

D. (8)

Explanation

Simple Explanation

लगातार दो मानों का अंतर वृद्धि दर के बराबर होता है। यहां दर (8) है। / The difference between consecutive values equals the growth rate. Here the rate is (8).

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Question 77/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (Y(t)=66-6t), तो (Y(2)) से (Y(3)) तक कमी कितनी है?

If (Y(t)=66-6t), what is the decrease from (Y(2)) to (Y(3))?

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

लगातार दो चरणों में कमी दर के परिमाण के बराबर होती है। यहां कमी (6) है। / The decrease between two consecutive steps equals the magnitude of the rate. Here the decrease is (6).

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Question 78/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (I(t)=4t+6), तो (t=0) से (t=5) तक कुल वृद्धि कितनी है?

If (I(t)=4t+6), what is the total increase from (t=0) to (t=5)?

Explanation opens after your attempt
Correct Answer

C. (20)

Explanation

Simple Explanation

दर (4) है और (5) चरण हैं। कुल वृद्धि \(4\times5=20\) है। / The rate is (4), and there are (5) steps. The total increase is \(4\times5=20\).

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Question 79/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (O(t)=72-9t), तो (t=0) से (t=6) तक कुल कमी कितनी है?

If (O(t)=72-9t), what is the total decrease from (t=0) to (t=6)?

Explanation opens after your attempt
Correct Answer

B. (54)

Explanation

Simple Explanation

कमी दर (9) है और (6) चरण हैं। कुल कमी \(9\times6=54\) है। / The decrease rate is (9), and there are (6) steps. The total decrease is \(9\times6=54\).

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Question 80/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

कौन सा कथन (y=11+2x) के लिए सही है?

Which statement is correct for (y=11+2x)?

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Correct Answer

C. यह रेखीय वृद्धि हैIt is linear growth

Explanation

Simple Explanation

(x) का गुणांक (2) धनात्मक है। इसलिए यह रेखीय वृद्धि है। / The coefficient of (x) is (2), which is positive. Therefore it is linear growth.

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Question 81/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

कौन सा कथन (y=48-6x) के लिए सही है?

Which statement is correct for (y=48-6x)?

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Correct Answer

B. यह रेखीय क्षय हैIt is linear decay

Explanation

Simple Explanation

(x) का गुणांक (-6) ऋणात्मक है। इसलिए यह रेखीय क्षय है। / The coefficient of (x) is (-6), which is negative. Therefore it is linear decay.

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Question 82/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (U(t)=5t+15), तो (t=7) पर (U(t)) क्या है?

If (U(t)=5t+15), what is (U(t)) at (t=7)?

Explanation opens after your attempt
Correct Answer

C. (50)

Explanation

Simple Explanation

(U(7)=5(7)+15=50) है। पहले गुणा करें फिर जोड़ें। / (U(7)=5(7)+15=50). Multiply first and then add.

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Question 83/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (J(t)=81-7t), तो (t=8) पर (J(t)) क्या है?

If (J(t)=81-7t), what is (J(t)) at (t=8)?

Explanation opens after your attempt
Correct Answer

B. (25)

Explanation

Simple Explanation

(J(8)=81-7(8)=25) है। घटाव करते समय चिन्ह पर ध्यान दें। / (J(8)=81-7(8)=25). Pay attention to the sign while subtracting.

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Question 84/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (X(t)=8+6t), तो (X(4)) और (X(0)) का अंतर क्या है?

If (X(t)=8+6t), what is the difference between (X(4)) and (X(0))?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

(4) चरणों में हर बार (6) वृद्धि होती है। कुल अंतर (24) है। / In (4) steps, the increase is (6) each time. The total difference is (24).

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Question 85/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (P(t)=90-3t), तो (P(0)-P(12)) का मान क्या है?

If (P(t)=90-3t), what is the value of (P(0)-P(12))?

Explanation opens after your attempt
Correct Answer

C. (36)

Explanation

Simple Explanation

(12) चरणों में प्रति चरण (3) की कमी है। कुल कमी (36) है। / There is a decrease of (3) per step for (12) steps. The total decrease is (36).

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Question 86/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

नियम (y=3x+10) में (x) के गुणांक का अर्थ क्या है?

In the rule (y=3x+10), what does the coefficient of (x) mean?

Explanation opens after your attempt
Correct Answer

B. हर चरण में (3) की वृद्धिIncrease of (3) each step

Explanation

Simple Explanation

(x) का गुणांक (3) है। यह प्रति चरण वृद्धि दर बताता है। / The coefficient of (x) is (3). It shows the growth rate per step.

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Question 87/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

नियम (y=85-10x) में (10) क्या बताता है?

In the rule (y=85-10x), what does (10) represent?

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Correct Answer

C. प्रति चरण कमीDecrease per step

Explanation

Simple Explanation

(-10x) बताता है कि हर चरण में (10) की कमी होती है। (85) आरंभिक मान है। / (-10x) shows that (10) decreases each step. (85) is the initial value.

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Question 88/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (P(t)=a+5t) और (P(0)=18), तो (a) क्या है?

If (P(t)=a+5t) and (P(0)=18), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (18)

Explanation

Simple Explanation

(t=0) रखने पर (P(0)=a) होता है। इसलिए (a=18) है। / Putting (t=0), (P(0)=a). Therefore (a=18).

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Question 89/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (R(t)=b-7t) और (R(0)=44), तो (b) क्या है?

If (R(t)=b-7t) and (R(0)=44), what is (b)?

Explanation opens after your attempt
Correct Answer

D. (44)

Explanation

Simple Explanation

(t=0) रखने पर (R(0)=b) होता है। इसलिए (b=44) है। / Putting (t=0), (R(0)=b). Therefore (b=44).

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Question 90/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=15+kt) रेखीय वृद्धि है, तो (k) के लिए कौन सी बात सही होनी चाहिए?

If (y=15+kt) is linear growth, what must be true about (k)?

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Correct Answer

A. (k>0)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए दर धनात्मक होनी चाहिए। इसलिए (k>0) सही है। / For linear growth, the rate must be positive. Therefore (k>0) is correct.

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Question 91/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=52-kt) रेखीय क्षय है और (k>0), तो (t) बढ़ने पर (y) क्या होगा?

If (y=52-kt) is linear decay and (k>0), what happens to (y) as (t) increases?

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Correct Answer

B. (y) घटेगा(y) will decrease

Explanation

Simple Explanation

(kt) घटाया जा रहा है और (k>0) है। इसलिए (t) बढ़ने पर (y) घटेगा। / (kt) is being subtracted and (k>0). Therefore (y) will decrease as (t) increases.

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Question 92/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (H(t)=32+2t), तो (H(10)) क्या है?

If (H(t)=32+2t), what is (H(10))?

Explanation opens after your attempt
Correct Answer

D. (52)

Explanation

Simple Explanation

(H(10)=32+2(10)=52) है। सरल रेखीय वृद्धि में सीधे प्रतिस्थापन करें। / (H(10)=32+2(10)=52). In simple linear growth, substitute directly.

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Question 93/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (K(t)=110-11t), तो (K(5)) क्या है?

If (K(t)=110-11t), what is (K(5))?

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Correct Answer

A. (55)

Explanation

Simple Explanation

(K(5)=110-11(5)=55) है। क्षय में कुल कमी घटाएं। / (K(5)=110-11(5)=55). In decay, subtract the total decrease.

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Question 94/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=6x+4), तो (x=2) से (x=5) तक (y) में कुल वृद्धि क्या है?

If (y=6x+4), what is the total increase in (y) from (x=2) to (x=5)?

Explanation opens after your attempt
Correct Answer

B. (18)

Explanation

Simple Explanation

(3) चरणों का अंतर है और दर (6) है। कुल वृद्धि \(6\times3=18\) है। / There is a difference of (3) steps and the rate is (6). The total increase is \(6\times3=18\).

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Question 95/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=100-4x), तो (x=1) से (x=6) तक (y) में कुल कमी क्या है?

If (y=100-4x), what is the total decrease in (y) from (x=1) to (x=6)?

Explanation opens after your attempt
Correct Answer

C. (20)

Explanation

Simple Explanation

(5) चरणों का अंतर है और कमी दर (4) है। कुल कमी \(4\times5=20\) है। / There is a difference of (5) steps and the decrease rate is (4). The total decrease is \(4\times5=20\).

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Question 96/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि किसी वस्तु की संख्या (2) से शुरू होकर हर चरण (3) बढ़ती है, तो (x) चरणों के बाद सही नियम क्या है?

If the number of objects starts from (2) and increases by (3) each step, what is the correct rule after (x) steps?

Explanation opens after your attempt
Correct Answer

D. (y=2+3x)

Explanation

Simple Explanation

आरंभिक संख्या (2) है और वृद्धि दर (3) है। इसलिए (y=2+3x) सही है। / The initial number is (2), and the growth rate is (3). So (y=2+3x) is correct.

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Question 97/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=28+5x), तो (x=4) पर (y) का मान क्या है?

If (y=28+5x), what is the value of (y) at (x=4)?

Explanation opens after your attempt
Correct Answer

B. (48)

Explanation

Simple Explanation

(y=28+5(4)=48) है। रेखीय वृद्धि में दी गई संख्या सीधे रखें। / (y=28+5(4)=48). In linear growth substitute the given number directly.

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Question 98/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=76-6x), तो (x=6) पर (y) का मान क्या है?

If (y=76-6x), what is the value of (y) at (x=6)?

Explanation opens after your attempt
Correct Answer

B. (40)

Explanation

Simple Explanation

(y=76-6(6)=40) है। रेखीय क्षय में कुल कमी घटाएं। / (y=76-6(6)=40). In linear decay subtract the total decrease.

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Question 99/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=17+4x), तो (x=2) से (x=7) तक कुल वृद्धि कितनी है?

If (y=17+4x), what is the total increase from (x=2) to (x=7)?

Explanation opens after your attempt
Correct Answer

A. (20)

Explanation

Simple Explanation

(5) चरणों का अंतर है और दर (4) है। कुल वृद्धि \(4\times5=20\) है। / There is a difference of (5) steps and the rate is (4). The total increase is \(4\times5=20\).

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Question 100/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 39

यदि (y=90-8x), तो (x=3) से (x=8) तक कुल कमी कितनी है?

If (y=90-8x), what is the total decrease from (x=3) to (x=8)?

Explanation opens after your attempt
Correct Answer

D. (40)

Explanation

Simple Explanation

(5) चरणों का अंतर है और कमी दर (8) है। कुल कमी \(8\times5=40\) है। / There is a difference of (5) steps and the decrease rate is (8). The total decrease is \(8\times5=40\).

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Question 101/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि पौधे की ऊंचाई (H(d)=15+3d) सेमी है, तो यह किस प्रकार का परिवर्तन है?

If the height of a plant is (H(d)=15+3d) cm, what type of change is it?

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Correct Answer

A. रेखीय वृद्धिLinear growth

Explanation

Simple Explanation

(d) का गुणांक (3) धनात्मक है। धनात्मक दर रेखीय वृद्धि दिखाती है। / The coefficient of (d) is (3), which is positive. A positive rate shows linear growth.

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Question 102/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि टंकी में पानी (W(t)=90-5t) लीटर है, तो यह किस प्रकार का परिवर्तन है?

If water in a tank is (W(t)=90-5t) litres, what type of change is it?

Explanation opens after your attempt
Correct Answer

C. रेखीय क्षयLinear decay

Explanation

Simple Explanation

(t) का गुणांक (-5) ऋणात्मक है। ऋणात्मक दर रेखीय क्षय बताती है। / The coefficient of (t) is (-5), which is negative. A negative rate shows linear decay.

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Question 103/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

रेखीय नियम (A(n)=22+4n) में आरंभिक मान क्या है?

In the linear rule (A(n)=22+4n), what is the initial value?

Explanation opens after your attempt
Correct Answer

B. (22)

Explanation

Simple Explanation

आरंभिक मान (n=0) रखने पर मिलता है। (A(0)=22) है। / The initial value is found by putting (n=0). (A(0)=22).

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Question 104/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

रेखीय नियम (B(t)=130-8t) में प्रति इकाई परिवर्तन दर क्या है?

In the linear rule (B(t)=130-8t), what is the rate of change per unit?

Explanation opens after your attempt
Correct Answer

C. (-8)

Explanation

Simple Explanation

दर (t) के गुणांक के बराबर होती है। यहां दर (-8) है। / The rate equals the coefficient of (t). Here the rate is (-8).

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Question 105/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (P(x)=12+7x), तो (x=4) पर (P(x)) का मान क्या है?

If (P(x)=12+7x), what is the value of (P(x)) at (x=4)?

Explanation opens after your attempt
Correct Answer

C. (40)

Explanation

Simple Explanation

(P(4)=12+7(4)=40) है। मान निकालने के लिए (x) की जगह दी गई संख्या रखें। / (P(4)=12+7(4)=40). Substitute the given number for (x) to find the value.

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Question 106/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (R(h)=84-6h), तो (h=7) पर (R(h)) का मान क्या है?

If (R(h)=84-6h), what is the value of (R(h)) at (h=7)?

Explanation opens after your attempt
Correct Answer

A. (42)

Explanation

Simple Explanation

(R(7)=84-6(7)=42) है। क्षय में पहले गुणा करें फिर घटाएं। / (R(7)=84-6(7)=42). In decay, multiply first and then subtract.

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Question 107/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

किस नियम में समान वृद्धि (6) प्रति चरण है?

Which rule has equal growth of (6) per step?

Explanation opens after your attempt
Correct Answer

B. (y=18+6x)

Explanation

Simple Explanation

(x) का गुणांक (6) धनात्मक है। इसलिए यह हर चरण (6) की वृद्धि दिखाता है। / The coefficient of (x) is (6), which is positive. So it shows an increase of (6) each step.

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Question 108/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

किस नियम में समान कमी (4) प्रति चरण है?

Which rule has equal decrease of (4) per step?

Explanation opens after your attempt
Correct Answer

C. (y=60-4x)

Explanation

Simple Explanation

(x) का गुणांक (-4) है। इसका अर्थ हर चरण में (4) की कमी है। / The coefficient of (x) is (-4). It means a decrease of (4) at each step.

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Question 109/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (C(d)=17+2d), तो (d) में (1) बढ़ने पर (C(d)) कितना बढ़ेगा?

If (C(d)=17+2d), by how much will (C(d)) increase when (d) increases by (1)?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

रेखीय वृद्धि में प्रति (1) चरण वृद्धि गुणांक के बराबर होती है। यहां गुणांक (2) है। / In linear growth, the increase per (1) step equals the coefficient. Here the coefficient is (2).

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Question 110/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (D(t)=72-9t), तो (t) में (1) बढ़ने पर (D(t)) कितना घटेगा?

If (D(t)=72-9t), by how much will (D(t)) decrease when (t) increases by (1)?

Explanation opens after your attempt
Correct Answer

A. (9)

Explanation

Simple Explanation

गुणांक (-9) है इसलिए मान हर चरण में (9) घटता है। घटने की मात्रा धनात्मक रूप में (9) है। / The coefficient is (-9), so the value decreases by (9) each step. The amount of decrease is (9) in positive form.

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Question 111/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

एक विद्यार्थी के हल किए प्रश्न (Q(w)=30+8w) से बढ़ते हैं। (w=5) पर प्रश्न कितने होंगे?

A student's solved questions increase as (Q(w)=30+8w). How many questions will there be at (w=5)?

Explanation opens after your attempt
Correct Answer

C. (70)

Explanation

Simple Explanation

(Q(5)=30+8(5)=70) है। दिए गए (w) का मान सीधे रखें। / (Q(5)=30+8(5)=70). Substitute the given value of (w) directly.

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Question 112/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

एक बोरी में चावल (S(d)=64-3d) किग्रा बचता है। (d=8) पर चावल कितना बचेगा?

Rice left in a sack is (S(d)=64-3d) kg. How much rice will remain at (d=8)?

Explanation opens after your attempt
Correct Answer

A. (40) किग्रा(40) kg

Explanation

Simple Explanation

(S(8)=64-3(8)=40) है। रेखीय क्षय में समान मात्रा घटती है। / (S(8)=64-3(8)=40). In linear decay, an equal amount decreases each time.

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Question 113/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (M(x)=25+5x), तो (M(6)) क्या है?

If (M(x)=25+5x), what is (M(6))?

Explanation opens after your attempt
Correct Answer

B. (55)

Explanation

Simple Explanation

(M(6)=25+5(6)=55) है। पहले गुणा करें फिर जोड़ें। / (M(6)=25+5(6)=55). Multiply first and then add.

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Question 114/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (N(x)=58-2x), तो (N(9)) क्या है?

If (N(x)=58-2x), what is (N(9))?

Explanation opens after your attempt
Correct Answer

A. (40)

Explanation

Simple Explanation

(N(9)=58-2(9)=40) है। घटाव करते समय चिन्ह पर ध्यान दें। / (N(9)=58-2(9)=40). Pay attention to the sign while subtracting.

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Question 115/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

किस नियम में आरंभिक मान (33) और वृद्धि दर (4) है?

Which rule has initial value (33) and growth rate (4)?

Explanation opens after your attempt
Correct Answer

C. (y=33+4x)

Explanation

Simple Explanation

आरंभिक मान नियतांक पद (33) है और वृद्धि दर (4) है। इसलिए (y=33+4x) सही है। / The initial value is the constant term (33), and the growth rate is (4). So (y=33+4x) is correct.

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Question 116/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

किस नियम में आरंभिक मान (96) और क्षय दर (12) है?

Which rule has initial value (96) and decay rate (12)?

Explanation opens after your attempt
Correct Answer

D. (y=96-12x)

Explanation

Simple Explanation

क्षय में गुणांक ऋणात्मक होता है। आरंभिक मान (96) और दर (-12) से (y=96-12x) बनता है। / In decay, the coefficient is negative. Initial value (96) and rate (-12) give (y=96-12x).

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Question 117/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (F(t)=41+6t), तो (F(0)) क्या है?

If (F(t)=41+6t), what is (F(0))?

Explanation opens after your attempt
Correct Answer

B. (41)

Explanation

Simple Explanation

(t=0) रखने पर (F(0)=41) है। यह आरंभिक मान है। / Putting (t=0), (F(0)=41). This is the initial value.

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Question 118/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (G(t)=115-5t), तो (G(0)) क्या है?

If (G(t)=115-5t), what is (G(0))?

Explanation opens after your attempt
Correct Answer

C. (115)

Explanation

Simple Explanation

(t=0) रखने पर घटने वाला पद (0) हो जाता है। इसलिए (G(0)=115) है। / Putting (t=0), the decreasing term becomes (0). Therefore (G(0)=115).

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Question 119/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (L(t)=13+4t), तो (L(7)-L(3)) का मान क्या है?

If (L(t)=13+4t), what is the value of (L(7)-L(3))?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

(7-3=4) चरण हैं और हर चरण वृद्धि (4) है। इसलिए अंतर (16) है। / There are (7-3=4) steps, and each step increases by (4). So the difference is (16).

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Question 120/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (T(t)=140-10t), तो (T(2)-T(6)) का मान क्या है?

If (T(t)=140-10t), what is the value of (T(2)-T(6))?

Explanation opens after your attempt
Correct Answer

C. (40)

Explanation

Simple Explanation

(T(2)=120) और (T(6)=80) हैं। इसलिए अंतर (40) है। / (T(2)=120) and (T(6)=80). Therefore the difference is (40).

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Question 121/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=27+0x), तो यह किस प्रकार का मान दिखाता है?

If (y=27+0x), what type of value does it show?

Explanation opens after your attempt
Correct Answer

D. स्थिर मानConstant value

Explanation

Simple Explanation

(x) का गुणांक (0) है इसलिए मान नहीं बदलता। यह स्थिर मान है। / The coefficient of (x) is (0), so the value does not change. It is a constant value.

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Question 122/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (Z(t)=16+9t), तो वृद्धि दर क्या है?

If (Z(t)=16+9t), what is the growth rate?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

वृद्धि दर (t) के गुणांक के बराबर होती है। यहां गुणांक (9) है। / The growth rate equals the coefficient of (t). Here the coefficient is (9).

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Question 123/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (V(t)=108-18t), तो क्षय दर का परिमाण क्या है?

If (V(t)=108-18t), what is the magnitude of the decay rate?

Explanation opens after your attempt
Correct Answer

C. (18)

Explanation

Simple Explanation

दर (-18) है और उसका परिमाण (18) है। क्षय की मात्रा धनात्मक रूप में ली जाती है। / The rate is (-18), and its magnitude is (18). The amount of decay is taken in positive form.

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Question 124/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि कोई राशि शुरू में (12) है और हर चरण (5) बढ़ती है, तो नियम कौन सा होगा?

If a quantity starts at (12) and increases by (5) each step, which rule represents it?

Explanation opens after your attempt
Correct Answer

D. (y=12+5x)

Explanation

Simple Explanation

आरंभिक मान (12) है और वृद्धि दर (5) है। इसलिए (y=12+5x) सही है। / The initial value is (12), and the growth rate is (5). So (y=12+5x) is correct.

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Question 125/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि कोई राशि शुरू में (66) है और हर चरण (3) घटती है, तो नियम कौन सा होगा?

If a quantity starts at (66) and decreases by (3) each step, which rule represents it?

Explanation opens after your attempt
Correct Answer

C. (y=66-3x)

Explanation

Simple Explanation

आरंभिक मान (66) है और कमी (3) प्रति चरण है। इसलिए (y=66-3x) सही है। / The initial value is (66), and the decrease is (3) per step. So (y=66-3x) is correct.

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Question 126/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (E(t)=21+11t), तो (E(4)) और (E(5)) के बीच अंतर क्या है?

If (E(t)=21+11t), what is the difference between (E(4)) and (E(5))?

Explanation opens after your attempt
Correct Answer

A. (11)

Explanation

Simple Explanation

लगातार दो मानों का अंतर वृद्धि दर के बराबर होता है। यहां दर (11) है। / The difference between consecutive values equals the growth rate. Here the rate is (11).

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Question 127/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (Y(t)=96-12t), तो (Y(3)) से (Y(4)) तक कमी कितनी है?

If (Y(t)=96-12t), what is the decrease from (Y(3)) to (Y(4))?

Explanation opens after your attempt
Correct Answer

A. (12)

Explanation

Simple Explanation

लगातार दो चरणों में कमी दर के परिमाण के बराबर होती है। यहां कमी (12) है। / The decrease between two consecutive steps equals the magnitude of the rate. Here the decrease is (12).

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Question 128/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (I(t)=6t+8), तो (t=0) से (t=5) तक कुल वृद्धि कितनी है?

If (I(t)=6t+8), what is the total increase from (t=0) to (t=5)?

Explanation opens after your attempt
Correct Answer

B. (30)

Explanation

Simple Explanation

दर (6) है और (5) चरण हैं। कुल वृद्धि \(6\times5=30\) है। / The rate is (6), and there are (5) steps. The total increase is \(6\times5=30\).

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Question 129/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (O(t)=88-4t), तो (t=0) से (t=9) तक कुल कमी कितनी है?

If (O(t)=88-4t), what is the total decrease from (t=0) to (t=9)?

Explanation opens after your attempt
Correct Answer

B. (36)

Explanation

Simple Explanation

कमी दर (4) है और (9) चरण हैं। कुल कमी \(4\times9=36\) है। / The decrease rate is (4), and there are (9) steps. The total decrease is \(4\times9=36\).

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Question 130/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

कौन सा कथन (y=19+7x) के लिए सही है?

Which statement is correct for (y=19+7x)?

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Correct Answer

D. यह रेखीय वृद्धि हैIt is linear growth

Explanation

Simple Explanation

(x) का गुणांक (7) धनात्मक है। इसलिए यह रेखीय वृद्धि है। / The coefficient of (x) is (7), which is positive. Therefore it is linear growth.

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Question 131/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

कौन सा कथन (y=52-4x) के लिए सही है?

Which statement is correct for (y=52-4x)?

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Correct Answer

B. यह रेखीय क्षय हैIt is linear decay

Explanation

Simple Explanation

(x) का गुणांक (-4) ऋणात्मक है। इसलिए यह रेखीय क्षय है। / The coefficient of (x) is (-4), which is negative. Therefore it is linear decay.

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Question 132/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (U(t)=9t+14), तो (t=7) पर (U(t)) क्या है?

If (U(t)=9t+14), what is (U(t)) at (t=7)?

Explanation opens after your attempt
Correct Answer

C. (77)

Explanation

Simple Explanation

(U(7)=9(7)+14=77) है। पहले गुणा करें फिर जोड़ें। / (U(7)=9(7)+14=77). Multiply first and then add.

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Question 133/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (J(t)=100-6t), तो (t=11) पर (J(t)) क्या है?

If (J(t)=100-6t), what is (J(t)) at (t=11)?

Explanation opens after your attempt
Correct Answer

A. (34)

Explanation

Simple Explanation

(J(11)=100-6(11)=34) है। क्षय में कुल कमी घटाएं। / (J(11)=100-6(11)=34). In decay, subtract the total decrease.

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Question 134/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (X(t)=18+8t), तो (X(6)) और (X(0)) का अंतर क्या है?

If (X(t)=18+8t), what is the difference between (X(6)) and (X(0))?

Explanation opens after your attempt
Correct Answer

B. (48)

Explanation

Simple Explanation

(6) चरणों में हर बार (8) वृद्धि होती है। कुल अंतर (48) है। / In (6) steps, the increase is (8) each time. The total difference is (48).

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Question 135/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (K(t)=160-8t), तो (K(0)-K(12)) का मान क्या है?

If (K(t)=160-8t), what is the value of (K(0)-K(12))?

Explanation opens after your attempt
Correct Answer

B. (96)

Explanation

Simple Explanation

(12) चरणों में प्रति चरण (8) की कमी है। कुल कमी (96) है। / There is a decrease of (8) per step for (12) steps. The total decrease is (96).

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Question 136/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

नियम (y=5x+21) में (x) के गुणांक का अर्थ क्या है?

In the rule (y=5x+21), what does the coefficient of (x) mean?

Explanation opens after your attempt
Correct Answer

B. हर चरण में (5) की वृद्धिIncrease of (5) each step

Explanation

Simple Explanation

(x) का गुणांक (5) है। यह प्रति चरण वृद्धि दर बताता है। / The coefficient of (x) is (5). It shows the growth rate per step.

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Question 137/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

नियम (y=125-5x) में (5) क्या बताता है?

In the rule (y=125-5x), what does (5) represent?

Explanation opens after your attempt
Correct Answer

C. प्रति चरण कमीDecrease per step

Explanation

Simple Explanation

(-5x) बताता है कि हर चरण में (5) की कमी होती है। (125) आरंभिक मान है। / (-5x) shows that (5) decreases each step. (125) is the initial value.

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Question 138/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (P(t)=a+7t) और (P(0)=31), तो (a) क्या है?

If (P(t)=a+7t) and (P(0)=31), what is (a)?

Explanation opens after your attempt
Correct Answer

C. (31)

Explanation

Simple Explanation

(t=0) रखने पर (P(0)=a) होता है। इसलिए (a=31) है। / Putting (t=0), (P(0)=a). Therefore (a=31).

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Question 139/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (R(t)=b-10t) और (R(0)=75), तो (b) क्या है?

If (R(t)=b-10t) and (R(0)=75), what is (b)?

Explanation opens after your attempt
Correct Answer

C. (75)

Explanation

Simple Explanation

(t=0) रखने पर (R(0)=b) होता है। इसलिए (b=75) है। / Putting (t=0), (R(0)=b). Therefore (b=75).

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Question 140/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=29+kt) रेखीय वृद्धि है, तो (k) के लिए कौन सी बात सही होनी चाहिए?

If (y=29+kt) is linear growth, what must be true about (k)?

Explanation opens after your attempt
Correct Answer

A. (k>0)

Explanation

Simple Explanation

रेखीय वृद्धि के लिए दर धनात्मक होनी चाहिए। इसलिए (k>0) सही है। / For linear growth, the rate must be positive. Therefore (k>0) is correct.

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Question 141/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=92-kt) रेखीय क्षय है और (k>0), तो (t) बढ़ने पर (y) क्या होगा?

If (y=92-kt) is linear decay and (k>0), what happens to (y) as (t) increases?

Explanation opens after your attempt
Correct Answer

B. (y) घटेगा(y) will decrease

Explanation

Simple Explanation

(kt) घटाया जा रहा है और (k>0) है। इसलिए (t) बढ़ने पर (y) घटेगा। / (kt) is being subtracted and (k>0). Therefore (y) will decrease as (t) increases.

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Question 142/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (H(t)=36+4t), तो (H(10)) क्या है?

If (H(t)=36+4t), what is (H(10))?

Explanation opens after your attempt
Correct Answer

B. (76)

Explanation

Simple Explanation

(H(10)=36+4(10)=76) है। सरल रेखीय वृद्धि में सीधे प्रतिस्थापन करें। / (H(10)=36+4(10)=76). In simple linear growth, substitute directly.

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Question 143/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (K(t)=144-12t), तो (K(8)) क्या है?

If (K(t)=144-12t), what is (K(8))?

Explanation opens after your attempt
Correct Answer

A. (48)

Explanation

Simple Explanation

(K(8)=144-12(8)=48) है। क्षय में कुल कमी घटाएं। / (K(8)=144-12(8)=48). In decay, subtract the total decrease.

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Question 144/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=6x+11), तो (x=2) से (x=7) तक (y) में कुल वृद्धि क्या है?

If (y=6x+11), what is the total increase in (y) from (x=2) to (x=7)?

Explanation opens after your attempt
Correct Answer

B. (30)

Explanation

Simple Explanation

(5) चरणों का अंतर है और दर (6) है। कुल वृद्धि \(6\times5=30\) है। / There is a difference of (5) steps and the rate is (6). The total increase is \(6\times5=30\).

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Question 145/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=118-7x), तो (x=1) से (x=6) तक (y) में कुल कमी क्या है?

If (y=118-7x), what is the total decrease in (y) from (x=1) to (x=6)?

Explanation opens after your attempt
Correct Answer

C. (35)

Explanation

Simple Explanation

(5) चरणों का अंतर है और कमी दर (7) है। कुल कमी \(7\times5=35\) है। / There is a difference of (5) steps and the decrease rate is (7). The total decrease is \(7\times5=35\).

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Question 146/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि किसी वस्तु की संख्या (5) से शुरू होकर हर चरण (6) बढ़ती है, तो (x) चरणों के बाद सही नियम क्या है?

If the number of objects starts from (5) and increases by (6) each step, what is the correct rule after (x) steps?

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Correct Answer

D. (y=5+6x)

Explanation

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आरंभिक संख्या (5) है और वृद्धि दर (6) है। इसलिए (y=5+6x) सही है। / The initial number is (5), and the growth rate is (6). So (y=5+6x) is correct.

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Question 147/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=42+3x), तो (x=6) पर (y) का मान क्या है?

If (y=42+3x), what is the value of (y) at (x=6)?

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Correct Answer

B. (60)

Explanation

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(y=42+3(6)=60) है। रेखीय वृद्धि में दिए गए मान को सीधे रखें। / (y=42+3(6)=60). In linear growth, substitute the given value directly.

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Question 148/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=85-5x), तो (x=9) पर (y) का मान क्या है?

If (y=85-5x), what is the value of (y) at (x=9)?

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Correct Answer

A. (40)

Explanation

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(y=85-5(9)=40) है। रेखीय क्षय में कुल कमी घटाएं। / (y=85-5(9)=40). In linear decay, subtract the total decrease.

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Question 149/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=14+9x), तो (x=2) से (x=6) तक कुल वृद्धि कितनी होगी?

If (y=14+9x), what will be the total increase from (x=2) to (x=6)?

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Correct Answer

C. (36)

Explanation

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(x) में परिवर्तन (6-2=4) है और दर (9) है। कुल वृद्धि \(9\times4=36\) है। / The change in (x) is (6-2=4) and the rate is (9). The total increase is \(9\times4=36\).

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Question 150/150 Easy Mathematics Introduction to Polynomials Linear growth and decay Class 9 Level 40

यदि (y=132-11x), तो (x=3) से (x=7) तक कुल कमी कितनी होगी?

If (y=132-11x), what will be the total decrease from (x=3) to (x=7)?

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Correct Answer

C. (44)

Explanation

Simple Explanation

(x) में परिवर्तन (7-3=4) है और कमी दर (11) है। कुल कमी \(11\times4=44\) है। / The change in (x) is (7-3=4) and the decay rate is (11). The total decrease is \(11\times4=44\).

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