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?
#linear_growth
#positive_rate
#polynomial
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A रेखीय वृद्धि / Linear growth
B रेखीय क्षय / Linear decay
C स्थिर मान / Constant value
D द्विघात वृद्धि / Quadratic growth
Explanation opens after your attempt
Correct Answer
A. रेखीय वृद्धि / Linear growth
Step 1
Concept
The coefficient of (t) is (3), which is positive. A positive rate shows linear growth.
Step 2
Why this answer is correct
The correct answer is A. रेखीय वृद्धि / Linear growth. The coefficient of (t) is (3), which is positive. A positive rate shows linear growth.
Step 3
Exam Tip
(t) का गुणांक (3) धनात्मक है। धनात्मक दर रेखीय वृद्धि दिखाती है।
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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?
#linear_decay
#negative_rate
#polynomial
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A रेखीय वृद्धि / Linear growth
B रेखीय क्षय / Linear decay
C स्थिर मात्रा / Constant amount
D घातीय वृद्धि / Exponential growth
Explanation opens after your attempt
Correct Answer
B. रेखीय क्षय / Linear decay
Step 1
Concept
The coefficient of (t) is (-4), which is negative. A negative rate shows linear decay.
Step 2
Why this answer is correct
The correct answer is B. रेखीय क्षय / Linear decay. The coefficient of (t) is (-4), which is negative. A negative rate shows linear decay.
Step 3
Exam Tip
(t) का गुणांक (-4) ऋणात्मक है। ऋणात्मक दर रेखीय क्षय बताती है।
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रेखीय नियम (C(d)=15+2d) में आरंभिक मान क्या है?
In the linear rule (C(d)=15+2d), what is the initial value?
#initial_value
#linear_growth
#substitution
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A (2)
B (15)
C (17)
D (30)
Explanation opens after your attempt
Step 1
Concept
The initial value is found by putting (d=0). (C(0)=15).
Step 2
Why this answer is correct
The correct answer is B. (15). The initial value is found by putting (d=0). (C(0)=15).
Step 3
Exam Tip
आरंभिक मान (d=0) रखने पर मिलता है। (C(0)=15) है।
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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?
#rate_of_change
#linear_decay
#coefficient
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A (80)
B (5)
C (-5)
D (75)
Explanation opens after your attempt
Step 1
Concept
The rate equals the coefficient of (t). Here the rate is (-5).
Step 2
Why this answer is correct
The correct answer is C. (-5). The rate equals the coefficient of (t). Here the rate is (-5).
Step 3
Exam Tip
दर (t) के गुणांक के बराबर होती है। यहां दर (-5) है।
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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)?
#linear_growth
#value
#substitution
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A (24)
B (30)
C (34)
D (40)
Explanation opens after your attempt
Step 1
Concept
(S(4)=10+6(4)=34). Substitute the given number for (t) to find the value.
Step 2
Why this answer is correct
The correct answer is C. (34). (S(4)=10+6(4)=34). Substitute the given number for (t) to find the value.
Step 3
Exam Tip
(S(4)=10+6(4)=34) है। मान निकालने के लिए (t) की जगह दी गई संख्या रखें।
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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)?
#linear_decay
#value
#substitution
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A (35)
B (55)
C (83)
D (95)
Explanation opens after your attempt
Step 1
Concept
(M(5)=90-7(5)=55). In decay, subtract carefully.
Step 2
Why this answer is correct
The correct answer is B. (55). (M(5)=90-7(5)=55). In decay, subtract carefully.
Step 3
Exam Tip
(M(5)=90-7(5)=55) है। क्षय में घटाव सावधानी से करें।
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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?
#linear_growth
#coefficient
#rate
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A आरंभिक किताबें / Initial books
B हर चरण में (8) किताबों की वृद्धि / Increase of (8) books each step
C कुल (108) किताबें / Total (108) books
D किताबों का क्षय / Decay of books
Explanation opens after your attempt
Correct Answer
B. हर चरण में (8) किताबों की वृद्धि / Increase of (8) books each step
Step 1
Concept
The coefficient of (n) is (8). It shows an equal increase at each step.
Step 2
Why this answer is correct
The correct answer is B. हर चरण में (8) किताबों की वृद्धि / Increase of (8) books each step. The coefficient of (n) is (8). It shows an equal increase at each step.
Step 3
Exam Tip
(n) का गुणांक (8) है। यह हर चरण में समान वृद्धि बताता है।
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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)?
#initial_value
#linear_decay
#tank
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A (3) लीटर / (3) litres
B (57) लीटर / (57) litres
C (60) लीटर / (60) litres
D (63) लीटर / (63) litres
Explanation opens after your attempt
Correct Answer
C. (60) लीटर / (60) litres
Step 1
Concept
Putting (t=0) gives (L(0)=60). This is the initial amount.
Step 2
Why this answer is correct
The correct answer is C. (60) लीटर / (60) litres. Putting (t=0) gives (L(0)=60). This is the initial amount.
Step 3
Exam Tip
(t=0) रखने पर (L(0)=60) मिलता है। यही आरंभिक मात्रा है।
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कौन सा नियम रेखीय वृद्धि को दिखाता है?
Which rule represents linear growth?
#linear_growth
#identify_rule
#positive_rate
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A (y=30-2x)
B (y=12+5x)
C (y=9)
D \(y=x^2+1\)
Explanation opens after your attempt
Correct Answer
B. (y=12+5x)
Step 1
Concept
In linear growth, the coefficient of (x) is positive. In (y=12+5x), the rate is (5).
Step 2
Why this answer is correct
The correct answer is B. (y=12+5x). In linear growth, the coefficient of (x) is positive. In (y=12+5x), the rate is (5).
Step 3
Exam Tip
रेखीय वृद्धि में (x) का गुणांक धनात्मक होता है। (y=12+5x) में दर (5) है।
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कौन सा नियम रेखीय क्षय को दिखाता है?
Which rule represents linear decay?
#linear_decay
#identify_rule
#negative_rate
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A (y=18+4x)
B (y=20)
C (y=25-3x)
D \(y=x^2-3\)
Explanation opens after your attempt
Correct Answer
C. (y=25-3x)
Step 1
Concept
In linear decay, the coefficient of (x) is negative. In (y=25-3x), the rate is (-3).
Step 2
Why this answer is correct
The correct answer is C. (y=25-3x). In linear decay, the coefficient of (x) is negative. In (y=25-3x), the rate is (-3).
Step 3
Exam Tip
रेखीय क्षय में (x) का गुणांक ऋणात्मक होता है। (y=25-3x) में दर (-3) है।
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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)?
#linear_growth
#unit_change
#coefficient
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A (1)
B (4)
C (12)
D (16)
Explanation opens after your attempt
Step 1
Concept
In a linear polynomial, the increase per (1) unit equals the coefficient. Here the coefficient is (4).
Step 2
Why this answer is correct
The correct answer is B. (4). In a linear polynomial, the increase per (1) unit equals the coefficient. Here the coefficient is (4).
Step 3
Exam Tip
रेखीय बहुपद में प्रति (1) वृद्धि गुणांक के बराबर होती है। यहां गुणांक (4) है।
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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)?
#linear_decay
#unit_change
#coefficient
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A (6)
B (40)
C (34)
D (1)
Explanation opens after your attempt
Step 1
Concept
The coefficient is (-6), so the value decreases by (6) each step. The sign of the rate shows the direction.
Step 2
Why this answer is correct
The correct answer is A. (6). The coefficient is (-6), so the value decreases by (6) each step. The sign of the rate shows the direction.
Step 3
Exam Tip
गुणांक (-6) है इसलिए मान हर चरण में (6) घटता है। दर का चिन्ह दिशा बताता है।
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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)?
#linear_growth
#marks
#value
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A (35)
B (40)
C (45)
D (50)
Explanation opens after your attempt
Step 1
Concept
(N(3)=30+5(3)=45). Substitute the given week value.
Step 2
Why this answer is correct
The correct answer is C. (45). (N(3)=30+5(3)=45). Substitute the given week value.
Step 3
Exam Tip
(N(3)=30+5(3)=45) है। दिए गए सप्ताह का मान रखें।
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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)?
#linear_decay
#battery
#value
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A (30%)
B (40%)
C (50%)
D (60%)
Explanation opens after your attempt
Step 1
Concept
(B(6)=100-10(6)=40). In linear decay, an equal amount decreases each time.
Step 2
Why this answer is correct
The correct answer is B. (40%). (B(6)=100-10(6)=40). In linear decay, an equal amount decreases each time.
Step 3
Exam Tip
(B(6)=100-10(6)=40) है। रेखीय क्षय में समान मात्रा घटती है।
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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)?
#linear_growth
#price
#value
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A (225)
B (250)
C (275)
D (300)
Explanation opens after your attempt
Step 1
Concept
(P(2)=200+25(2)=250). Identify constant growth from the coefficient.
Step 2
Why this answer is correct
The correct answer is B. (250). (P(2)=200+25(2)=250). Identify constant growth from the coefficient.
Step 3
Exam Tip
(P(2)=200+25(2)=250) है। स्थिर वृद्धि को गुणांक से पहचाने।
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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)?
#linear_decay
#distance
#value
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A (45) किमी / (45) km
B (60) किमी / (60) km
C (75) किमी / (75) km
D (90) किमी / (90) km
Explanation opens after your attempt
Correct Answer
B. (60) किमी / (60) km
Step 1
Concept
(D(4)=120-15(4)=60). In a decreasing model, subtract the decrease from the initial value.
Step 2
Why this answer is correct
The correct answer is B. (60) किमी / (60) km. (D(4)=120-15(4)=60). In a decreasing model, subtract the decrease from the initial value.
Step 3
Exam Tip
(D(4)=120-15(4)=60) है। घटते मॉडल में प्रारंभिक मान से कमी घटाएं।
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नियम (y=9+0x) किस प्रकार का है?
What type of rule is (y=9+0x)?
#constant_value
#zero_rate
#linear_expression
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A रेखीय वृद्धि / Linear growth
B रेखीय क्षय / Linear decay
C स्थिर मान / Constant value
D द्विघात नियम / Quadratic rule
Explanation opens after your attempt
Correct Answer
C. स्थिर मान / Constant value
Step 1
Concept
The coefficient of (x) is (0), so the value does not change. It is a constant value.
Step 2
Why this answer is correct
The correct answer is C. स्थिर मान / Constant value. The coefficient of (x) is (0), so the value does not change. It is a constant value.
Step 3
Exam Tip
(x) का गुणांक (0) है इसलिए मान नहीं बदलता। यह स्थिर मान है।
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यदि (G(t)=5+9t), तो वृद्धि दर क्या है?
If (G(t)=5+9t), what is the growth rate?
#linear_growth
#growth_rate
#coefficient
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A (5)
B (9)
C (14)
D (0)
Explanation opens after your attempt
Step 1
Concept
The growth rate equals the coefficient of (t). Here the coefficient is (9).
Step 2
Why this answer is correct
The correct answer is B. (9). The growth rate equals the coefficient of (t). Here the coefficient is (9).
Step 3
Exam Tip
वृद्धि दर (t) के गुणांक के बराबर होती है। यहां गुणांक (9) है।
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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?
#linear_decay
#decay_rate
#magnitude
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A (8)
B (-8)
C (72)
D (64)
Explanation opens after your attempt
Step 1
Concept
The rate is (-8), and its magnitude is (8). In decay, the amount of decrease may be asked as a positive value.
Step 2
Why this answer is correct
The correct answer is A. (8). The rate is (-8), and its magnitude is (8). In decay, the amount of decrease may be asked as a positive value.
Step 3
Exam Tip
दर (-8) है और उसका परिमाण (8) है। क्षय में घटने की मात्रा धनात्मक रूप में पूछी जा सकती है।
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किस नियम में आरंभिक मान (25) और वृद्धि दर (4) है?
Which rule has initial value (25) and growth rate (4)?
#linear_growth
#model_selection
#initial_value
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A (y=4+25x)
B (y=25-4x)
C (y=25+4x)
D (y=4x-25)
Explanation opens after your attempt
Correct Answer
C. (y=25+4x)
Step 1
Concept
The initial value is the constant term (25), and the rate is the coefficient (4). So (y=25+4x) is correct.
Step 2
Why this answer is correct
The correct answer is C. (y=25+4x). The initial value is the constant term (25), and the rate is the coefficient (4). So (y=25+4x) is correct.
Step 3
Exam Tip
आरंभिक मान नियतांक पद (25) है और दर (x) का गुणांक (4) है। इसलिए (y=25+4x) सही है।
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किस नियम में आरंभिक मान (90) और क्षय दर (6) है?
Which rule has initial value (90) and decay rate (6)?
#linear_decay
#model_selection
#initial_value
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A (y=90+6x)
B (y=90-6x)
C (y=6-90x)
D (y=6x-90)
Explanation opens after your attempt
Correct Answer
B. (y=90-6x)
Step 1
Concept
In decay, the coefficient is negative. Initial value (90) and rate (-6) give (y=90-6x).
Step 2
Why this answer is correct
The correct answer is B. (y=90-6x). In decay, the coefficient is negative. Initial value (90) and rate (-6) give (y=90-6x).
Step 3
Exam Tip
क्षय में गुणांक ऋणात्मक होता है। आरंभिक मान (90) और दर (-6) से (y=90-6x) बनता है।
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यदि (T(d)=18+2d), तो (T(0)) क्या है?
If (T(d)=18+2d), what is (T(0))?
#initial_value
#linear_growth
#value_at_zero
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A (0)
B (2)
C (18)
D (20)
Explanation opens after your attempt
Step 1
Concept
Putting (d=0), (T(0)=18). This is the initial value.
Step 2
Why this answer is correct
The correct answer is C. (18). Putting (d=0), (T(0)=18). This is the initial value.
Step 3
Exam Tip
(d=0) रखने पर (T(0)=18) है। यह आरंभिक मान है।
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यदि (V(t)=45-5t), तो (V(0)) क्या है?
If (V(t)=45-5t), what is (V(0))?
#initial_value
#linear_decay
#value_at_zero
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A (5)
B (40)
C (45)
D (50)
Explanation opens after your attempt
Step 1
Concept
Putting (t=0), the decreasing term becomes (0). Therefore (V(0)=45).
Step 2
Why this answer is correct
The correct answer is C. (45). Putting (t=0), the decreasing term becomes (0). Therefore (V(0)=45).
Step 3
Exam Tip
(t=0) रखने पर घटने वाला पद (0) हो जाता है। इसलिए (V(0)=45) है।
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किस विकल्प में समान वृद्धि (3) प्रति चरण है?
Which option has equal growth of (3) per step?
#linear_growth
#unit_rate
#identify_rule
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A (y=7+3x)
B (y=7-3x)
C (y=3)
D \(y=x^2+3\)
Explanation opens after your attempt
Correct Answer
A. (y=7+3x)
Step 1
Concept
The coefficient of (x) is (3), and it is positive. So it shows growth of (3) per step.
Step 2
Why this answer is correct
The correct answer is A. (y=7+3x). The coefficient of (x) is (3), and it is positive. So it shows growth of (3) per step.
Step 3
Exam Tip
(x) का गुणांक (3) है और वह धनात्मक है। इसलिए यह (3) प्रति चरण वृद्धि दिखाता है।
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किस विकल्प में समान कमी (4) प्रति चरण है?
Which option has equal decrease of (4) per step?
#linear_decay
#unit_rate
#identify_rule
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A (y=10+4x)
B (y=10-4x)
C (y=4x-10)
D (y=10)
Explanation opens after your attempt
Correct Answer
B. (y=10-4x)
Step 1
Concept
The coefficient of (x) is (-4). It means a decrease of (4) at each step.
Step 2
Why this answer is correct
The correct answer is B. (y=10-4x). The coefficient of (x) is (-4). It means a decrease of (4) at each step.
Step 3
Exam Tip
(x) का गुणांक (-4) है। इसका अर्थ हर चरण में (4) की कमी है।
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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))?
#linear_growth
#difference
#rate
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A (2)
B (4)
C (8)
D (10)
Explanation opens after your attempt
Step 1
Concept
There is a difference of two steps, and each step increases by (2). So the difference is \(2\times2=4\).
Step 2
Why this answer is correct
The correct answer is B. (4). There is a difference of two steps, and each step increases by (2). So the difference is \(2\times2=4\).
Step 3
Exam Tip
दो चरणों का अंतर है और हर चरण वृद्धि (2) है। इसलिए अंतर \(2\times2=4\) है।
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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))?
#linear_decay
#difference
#rate
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A (3)
B (6)
C (9)
D (15)
Explanation opens after your attempt
Step 1
Concept
(K(2)=64) and (K(5)=55). Therefore the difference is (9).
Step 2
Why this answer is correct
The correct answer is C. (9). (K(2)=64) and (K(5)=55). Therefore the difference is (9).
Step 3
Exam Tip
(K(2)=64) और (K(5)=55) हैं। इसलिए अंतर (9) है।
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रेखीय वृद्धि में ग्राफ सामान्यतः किस दिशा में जाता है?
In linear growth, in which direction does the graph generally go?
#linear_growth
#graph_direction
#positive_rate
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A बाएं से दाएं ऊपर / Upward from left to right
B बाएं से दाएं नीचे / Downward from left to right
C सदैव क्षैतिज / Always horizontal
D सदैव वक्र / Always curved
Explanation opens after your attempt
Correct Answer
A. बाएं से दाएं ऊपर / Upward from left to right
Step 1
Concept
With a positive rate, the value increases. So the line goes upward from left to right.
Step 2
Why this answer is correct
The correct answer is A. बाएं से दाएं ऊपर / Upward from left to right. With a positive rate, the value increases. So the line goes upward from left to right.
Step 3
Exam Tip
धनात्मक दर होने पर मान बढ़ता है। इसलिए रेखा बाएं से दाएं ऊपर जाती है।
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रेखीय क्षय में ग्राफ सामान्यतः किस दिशा में जाता है?
In linear decay, in which direction does the graph generally go?
#linear_decay
#graph_direction
#negative_rate
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A बाएं से दाएं ऊपर / Upward from left to right
B बाएं से दाएं नीचे / Downward from left to right
C सदैव ऊपर की ओर वक्र / Always upward curve
D सदैव स्थिर / Always constant
Explanation opens after your attempt
Correct Answer
B. बाएं से दाएं नीचे / Downward from left to right
Step 1
Concept
With a negative rate, the value decreases. So the line goes downward from left to right.
Step 2
Why this answer is correct
The correct answer is B. बाएं से दाएं नीचे / Downward from left to right. With a negative rate, the value decreases. So the line goes downward from left to right.
Step 3
Exam Tip
ऋणात्मक दर होने पर मान घटता है। इसलिए रेखा बाएं से दाएं नीचे जाती है।
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यदि (Q(x)=6+2x), तो (Q(1)) क्या है?
If (Q(x)=6+2x), what is (Q(1))?
#linear_growth
#value
#substitution
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A (6)
B (7)
C (8)
D (10)
Explanation opens after your attempt
Step 1
Concept
(Q(1)=6+2=8). In simple substitution, put (1) in place of (x).
Step 2
Why this answer is correct
The correct answer is C. (8). (Q(1)=6+2=8). In simple substitution, put (1) in place of (x).
Step 3
Exam Tip
(Q(1)=6+2=8) है। सरल प्रतिस्थापन में (x) की जगह (1) रखें।
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यदि (J(x)=25-2x), तो (J(4)) क्या है?
If (J(x)=25-2x), what is (J(4))?
#linear_decay
#value
#substitution
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A (17)
B (19)
C (21)
D (23)
Explanation opens after your attempt
Step 1
Concept
(J(4)=25-2(4)=17). Multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is A. (17). (J(4)=25-2(4)=17). Multiply first and then subtract.
Step 3
Exam Tip
(J(4)=25-2(4)=17) है। पहले गुणा करें फिर घटाएं।
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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?
#linear_growth
#word_problem
#model
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A (h(d)=2+10d)
B (h(d)=10-2d)
C (h(d)=10+2d)
D (h(d)=2d-10)
Explanation opens after your attempt
Correct Answer
C. (h(d)=10+2d)
Step 1
Concept
The initial value is (10), and the growth rate is (2). So the rule is (h(d)=10+2d).
Step 2
Why this answer is correct
The correct answer is C. (h(d)=10+2d). The initial value is (10), and the growth rate is (2). So the rule is (h(d)=10+2d).
Step 3
Exam Tip
आरंभिक मान (10) है और वृद्धि दर (2) है। इसलिए नियम (h(d)=10+2d) होगा।
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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?
#linear_decay
#word_problem
#model
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A (c(d)=40+5d)
B (c(d)=40-5d)
C (c(d)=5-40d)
D (c(d)=5d+40)
Explanation opens after your attempt
Correct Answer
B. (c(d)=40-5d)
Step 1
Concept
The initial amount is (40), and the decrease is (5) per day. So the rule is (c(d)=40-5d).
Step 2
Why this answer is correct
The correct answer is B. (c(d)=40-5d). The initial amount is (40), and the decrease is (5) per day. So the rule is (c(d)=40-5d).
Step 3
Exam Tip
आरंभिक मात्रा (40) है और कमी (5) प्रति दिन है। इसलिए नियम (c(d)=40-5d) है।
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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))?
#linear_growth
#consecutive_difference
#rate
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A (1)
B (3)
C (6)
D (11)
Explanation opens after your attempt
Step 1
Concept
The difference between consecutive values equals the growth rate. Here the rate is (3).
Step 2
Why this answer is correct
The correct answer is B. (3). The difference between consecutive values equals the growth rate. Here the rate is (3).
Step 3
Exam Tip
लगातार दो मानों का अंतर वृद्धि दर के बराबर होता है। यहां दर (3) है।
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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))?
#linear_decay
#consecutive_difference
#rate
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A (9)
B (18)
C (91)
D (100)
Explanation opens after your attempt
Step 1
Concept
The decrease between two consecutive steps equals the magnitude of the rate. Here the decrease is (9).
Step 2
Why this answer is correct
The correct answer is A. (9). The decrease between two consecutive steps equals the magnitude of the rate. Here the decrease is (9).
Step 3
Exam Tip
लगातार दो चरणों में कमी दर के परिमाण के बराबर होती है। यहां कमी (9) है।
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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)?
#linear_growth
#general_form
#rate_sign
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A (b) धनात्मक होता है / (b) is positive
B (b) ऋणात्मक होता है / (b) is negative
C (b=0) होता है / (b=0)
D (b) हमेशा (a) के बराबर होता है / (b) is always equal to (a)
Explanation opens after your attempt
Correct Answer
A. (b) धनात्मक होता है / (b) is positive
Step 1
Concept
In growth, the value increases, so the rate is positive. (b) represents the rate.
Step 2
Why this answer is correct
The correct answer is A. (b) धनात्मक होता है / (b) is positive. In growth, the value increases, so the rate is positive. (b) represents the rate.
Step 3
Exam Tip
वृद्धि में मान बढ़ता है इसलिए दर धनात्मक होती है। (b) दर को दिखाता है।
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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?
#linear_decay
#general_form
#behavior
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A (y) बढ़ता है / (y) increases
B (y) घटता है / (y) decreases
C (y) वही रहता है / (y) remains same
D (y) हमेशा (0) होता है / (y) is always (0)
Explanation opens after your attempt
Correct Answer
B. (y) घटता है / (y) decreases
Step 1
Concept
In (a-bx), the subtracted part increases as (x) increases. Therefore (y) decreases.
Step 2
Why this answer is correct
The correct answer is B. (y) घटता है / (y) decreases. In (a-bx), the subtracted part increases as (x) increases. Therefore (y) decreases.
Step 3
Exam Tip
(a-bx) में (x) बढ़ने पर घटाया गया भाग बढ़ता है। इसलिए (y) घटता है।
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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)?
#linear_growth
#total_increase
#rate
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A (2)
B (3)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
The rate is (2), and there are (3) steps. The total increase is \(2\times3=6\).
Step 2
Why this answer is correct
The correct answer is C. (6). The rate is (2), and there are (3) steps. The total increase is \(2\times3=6\).
Step 3
Exam Tip
दर (2) है और (3) चरण हैं। कुल वृद्धि \(2\times3=6\) है।
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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)?
#linear_decay
#total_decrease
#rate
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A (4)
B (10)
C (20)
D (30)
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Step 1
Concept
The decrease rate is (4), and there are (5) steps. The total decrease is \(4\times5=20\).
Step 2
Why this answer is correct
The correct answer is C. (20). The decrease rate is (4), and there are (5) steps. The total decrease is \(4\times5=20\).
Step 3
Exam Tip
कमी दर (4) है और (5) चरण हैं। कुल कमी \(4\times5=20\) है।
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कौन सा कथन (y=14+6x) के लिए सही है?
Which statement is correct for (y=14+6x)?
#linear_growth
#identify_statement
#positive_rate
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A यह रेखीय क्षय है / It is linear decay
B यह रेखीय वृद्धि है / It is linear growth
C यह स्थिर है / It is constant
D यह द्विघात है / It is quadratic
Explanation opens after your attempt
Correct Answer
B. यह रेखीय वृद्धि है / It is linear growth
Step 1
Concept
The coefficient of (x) is (6), which is positive. Therefore it is linear growth.
Step 2
Why this answer is correct
The correct answer is B. यह रेखीय वृद्धि है / It is linear growth. The coefficient of (x) is (6), which is positive. Therefore it is linear growth.
Step 3
Exam Tip
(x) का गुणांक (6) धनात्मक है। इसलिए यह रेखीय वृद्धि है।
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कौन सा कथन (y=35-7x) के लिए सही है?
Which statement is correct for (y=35-7x)?
#linear_decay
#identify_statement
#negative_rate
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A यह रेखीय वृद्धि है / It is linear growth
B यह रेखीय क्षय है / It is linear decay
C यह स्थिर है / It is constant
D यह घन बहुपद है / It is cubic polynomial
Explanation opens after your attempt
Correct Answer
B. यह रेखीय क्षय है / It is linear decay
Step 1
Concept
The coefficient of (x) is (-7), which is negative. Therefore it is linear decay.
Step 2
Why this answer is correct
The correct answer is B. यह रेखीय क्षय है / It is linear decay. The coefficient of (x) is (-7), which is negative. Therefore it is linear decay.
Step 3
Exam Tip
(x) का गुणांक (-7) ऋणात्मक है। इसलिए यह रेखीय क्षय है।
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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)?
#linear_growth
#value
#substitution
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A (18)
B (24)
C (30)
D (36)
Explanation opens after your attempt
Step 1
Concept
(I(6)=3(6)+12=30). Multiply first and then add.
Step 2
Why this answer is correct
The correct answer is C. (30). (I(6)=3(6)+12=30). Multiply first and then add.
Step 3
Exam Tip
(I(6)=3(6)+12=30) है। पहले गुणा करें फिर जोड़ें।
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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)?
#linear_decay
#value
#substitution
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A (22)
B (28)
C (34)
D (42)
Explanation opens after your attempt
Step 1
Concept
(O(7)=64-6(7)=22). Pay attention to the sign while subtracting.
Step 2
Why this answer is correct
The correct answer is A. (22). (O(7)=64-6(7)=22). Pay attention to the sign while subtracting.
Step 3
Exam Tip
(O(7)=64-6(7)=22) है। घटाव करते समय चिन्ह पर ध्यान दें।
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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))?
#linear_growth
#difference
#initial_value
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A (4)
B (8)
C (12)
D (17)
Explanation opens after your attempt
Step 1
Concept
In (3) steps, the increase is (4) each time. The total difference is (12).
Step 2
Why this answer is correct
The correct answer is C. (12). In (3) steps, the increase is (4) each time. The total difference is (12).
Step 3
Exam Tip
(3) चरणों में हर बार (4) वृद्धि होती है। कुल अंतर (12) है।
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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))?
#linear_decay
#difference
#total_decrease
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A (10)
B (20)
C (60)
D (80)
Explanation opens after your attempt
Step 1
Concept
There is a decrease of (2) per step for (10) steps. The total decrease is (20).
Step 2
Why this answer is correct
The correct answer is B. (20). There is a decrease of (2) per step for (10) steps. The total decrease is (20).
Step 3
Exam Tip
(10) चरणों में प्रति चरण (2) की कमी है। कुल कमी (20) है।
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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?
#linear_growth
#coefficient_meaning
#rate
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A आरंभिक मान (7) है / Initial value is (7)
B हर चरण में (2) की वृद्धि / Increase of (2) each step
C हर चरण में (7) की वृद्धि / Increase of (7) each step
D कुल मान (9) है / Total value is (9)
Explanation opens after your attempt
Correct Answer
B. हर चरण में (2) की वृद्धि / Increase of (2) each step
Step 1
Concept
The coefficient of (x) is (2). It shows the growth rate per step.
Step 2
Why this answer is correct
The correct answer is B. हर चरण में (2) की वृद्धि / Increase of (2) each step. The coefficient of (x) is (2). It shows the growth rate per step.
Step 3
Exam Tip
(x) का गुणांक (2) है। यह प्रति चरण वृद्धि दर बताता है।
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नियम (y=60-5x) में (5) क्या बताता है?
In the rule (y=60-5x), what does (5) represent?
#linear_decay
#coefficient_meaning
#rate
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A आरंभिक मान / Initial value
B प्रति चरण कमी / Decrease per step
C अंतिम मान / Final value
D शून्य दर / Zero rate
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Correct Answer
B. प्रति चरण कमी / Decrease per step
Step 1
Concept
(-5x) shows that (5) decreases each step. (60) is the initial value.
Step 2
Why this answer is correct
The correct answer is B. प्रति चरण कमी / Decrease per step. (-5x) shows that (5) decreases each step. (60) is the initial value.
Step 3
Exam Tip
(-5x) बताता है कि हर चरण में (5) की कमी होती है। (60) आरंभिक मान है।
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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)?
#initial_value
#linear_growth
#parameter
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A (3)
B (9)
C (12)
D (15)
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Step 1
Concept
Putting (t=0), (P(0)=a). Therefore (a=12).
Step 2
Why this answer is correct
The correct answer is C. (12). Putting (t=0), (P(0)=a). Therefore (a=12).
Step 3
Exam Tip
(t=0) रखने पर (P(0)=a) होता है। इसलिए (a=12) है।
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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)?
#initial_value
#linear_decay
#parameter
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A (4)
B (21)
C (25)
D (29)
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Step 1
Concept
Putting (t=0), (R(0)=b). Therefore (b=25).
Step 2
Why this answer is correct
The correct answer is C. (25). Putting (t=0), (R(0)=b). Therefore (b=25).
Step 3
Exam Tip
(t=0) रखने पर (R(0)=b) होता है। इसलिए (b=25) है।
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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)?
#linear_growth
#parameter_condition
#rate_sign
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A (k>0)
B (k<0)
C (k=0)
D (k=10) ही / (k=10) only
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Step 1
Concept
For linear growth, the rate must be positive. Therefore (k>0) is correct.
Step 2
Why this answer is correct
The correct answer is A. (k>0). For linear growth, the rate must be positive. Therefore (k>0) is correct.
Step 3
Exam Tip
रेखीय वृद्धि के लिए दर धनात्मक होनी चाहिए। इसलिए (k>0) सही है।
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