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?
#linear_growth
#positive_rate
#plant
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A रेखीय वृद्धि / Linear growth
B रेखीय क्षय / Linear decay
C स्थिर मान / Constant value
D द्विघात परिवर्तन / Quadratic change
Explanation opens after your attempt
Correct Answer
A. रेखीय वृद्धि / Linear growth
Step 1
Concept
The coefficient of (d) 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 (d) is (3), which is positive. A positive rate shows linear growth.
Step 3
Exam Tip
(d) का गुणांक (3) धनात्मक है। धनात्मक दर रेखीय वृद्धि दिखाती है।
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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?
#linear_decay
#negative_rate
#tank
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A रेखीय वृद्धि / Linear growth
B स्थिर मात्रा / Constant amount
C रेखीय क्षय / Linear decay
D घातीय वृद्धि / Exponential growth
Explanation opens after your attempt
Correct Answer
C. रेखीय क्षय / Linear decay
Step 1
Concept
The coefficient of (t) is (-5), which is negative. A negative rate shows linear decay.
Step 2
Why this answer is correct
The correct answer is C. रेखीय क्षय / Linear decay. The coefficient of (t) is (-5), which is negative. A negative rate shows linear decay.
Step 3
Exam Tip
(t) का गुणांक (-5) ऋणात्मक है। ऋणात्मक दर रेखीय क्षय बताती है।
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रेखीय नियम (A(n)=22+4n) में आरंभिक मान क्या है?
In the linear rule (A(n)=22+4n), what is the initial value?
#initial_value
#linear_growth
#substitution
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A (4)
B (22)
C (26)
D (18)
Explanation opens after your attempt
Step 1
Concept
The initial value is found by putting (n=0). (A(0)=22).
Step 2
Why this answer is correct
The correct answer is B. (22). The initial value is found by putting (n=0). (A(0)=22).
Step 3
Exam Tip
आरंभिक मान (n=0) रखने पर मिलता है। (A(0)=22) है।
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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?
#rate_of_change
#linear_decay
#coefficient
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A (130)
B (8)
C (-8)
D (122)
Explanation opens after your attempt
Step 1
Concept
The rate equals the coefficient of (t). Here the rate is (-8).
Step 2
Why this answer is correct
The correct answer is C. (-8). The rate equals the coefficient of (t). Here the rate is (-8).
Step 3
Exam Tip
दर (t) के गुणांक के बराबर होती है। यहां दर (-8) है।
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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)?
#linear_growth
#value
#substitution
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A (19)
B (28)
C (40)
D (48)
Explanation opens after your attempt
Step 1
Concept
(P(4)=12+7(4)=40). Substitute the given number for (x) to find the value.
Step 2
Why this answer is correct
The correct answer is C. (40). (P(4)=12+7(4)=40). Substitute the given number for (x) to find the value.
Step 3
Exam Tip
(P(4)=12+7(4)=40) है। मान निकालने के लिए (x) की जगह दी गई संख्या रखें।
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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)?
#linear_decay
#value
#substitution
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A (42)
B (48)
C (78)
D (90)
Explanation opens after your attempt
Step 1
Concept
(R(7)=84-6(7)=42). In decay, multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is A. (42). (R(7)=84-6(7)=42). In decay, multiply first and then subtract.
Step 3
Exam Tip
(R(7)=84-6(7)=42) है। क्षय में पहले गुणा करें फिर घटाएं।
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किस नियम में समान वृद्धि (6) प्रति चरण है?
Which rule has equal growth of (6) per step?
#linear_growth
#unit_rate
#identify_rule
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A (y=18-6x)
B (y=18+6x)
C (y=6)
D \(y=x^2+6\)
Explanation opens after your attempt
Correct Answer
B. (y=18+6x)
Step 1
Concept
The coefficient of (x) is (6), which is positive. So it shows an increase of (6) each step.
Step 2
Why this answer is correct
The correct answer is B. (y=18+6x). The coefficient of (x) is (6), which is positive. So it shows an increase of (6) each step.
Step 3
Exam Tip
(x) का गुणांक (6) धनात्मक है। इसलिए यह हर चरण (6) की वृद्धि दिखाता है।
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किस नियम में समान कमी (4) प्रति चरण है?
Which rule has equal decrease of (4) per step?
#linear_decay
#unit_rate
#identify_rule
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A (y=60+4x)
B (y=4x-60)
C (y=60-4x)
D (y=60)
Explanation opens after your attempt
Correct Answer
C. (y=60-4x)
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 C. (y=60-4x). 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 (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)?
#linear_growth
#unit_change
#coefficient
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A (1)
B (2)
C (17)
D (19)
Explanation opens after your attempt
Step 1
Concept
In linear growth, the increase per (1) step equals the coefficient. Here the coefficient is (2).
Step 2
Why this answer is correct
The correct answer is B. (2). In linear growth, the increase per (1) step equals the coefficient. Here the coefficient is (2).
Step 3
Exam Tip
रेखीय वृद्धि में प्रति (1) चरण वृद्धि गुणांक के बराबर होती है। यहां गुणांक (2) है।
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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)?
#linear_decay
#unit_change
#coefficient
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A (9)
B (72)
C (-9)
D (63)
Explanation opens after your attempt
Step 1
Concept
The coefficient is (-9), so the value decreases by (9) each step. The amount of decrease is (9) in positive form.
Step 2
Why this answer is correct
The correct answer is A. (9). The coefficient is (-9), so the value decreases by (9) each step. The amount of decrease is (9) in positive form.
Step 3
Exam Tip
गुणांक (-9) है इसलिए मान हर चरण में (9) घटता है। घटने की मात्रा धनात्मक रूप में (9) है।
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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)?
#linear_growth
#word_problem
#value
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A (38)
B (40)
C (70)
D (80)
Explanation opens after your attempt
Step 1
Concept
(Q(5)=30+8(5)=70). Substitute the given value of (w) directly.
Step 2
Why this answer is correct
The correct answer is C. (70). (Q(5)=30+8(5)=70). Substitute the given value of (w) directly.
Step 3
Exam Tip
(Q(5)=30+8(5)=70) है। दिए गए (w) का मान सीधे रखें।
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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)?
#linear_decay
#word_problem
#value
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A (40) किग्रा / (40) kg
B (56) किग्रा / (56) kg
C (24) किग्रा / (24) kg
D (67) किग्रा / (67) kg
Explanation opens after your attempt
Correct Answer
A. (40) किग्रा / (40) kg
Step 1
Concept
(S(8)=64-3(8)=40). In linear decay, an equal amount decreases each time.
Step 2
Why this answer is correct
The correct answer is A. (40) किग्रा / (40) kg. (S(8)=64-3(8)=40). In linear decay, an equal amount decreases each time.
Step 3
Exam Tip
(S(8)=64-3(8)=40) है। रेखीय क्षय में समान मात्रा घटती है।
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यदि (M(x)=25+5x), तो (M(6)) क्या है?
If (M(x)=25+5x), what is (M(6))?
#linear_growth
#value
#substitution
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A (30)
B (55)
C (31)
D (150)
Explanation opens after your attempt
Step 1
Concept
(M(6)=25+5(6)=55). Multiply first and then add.
Step 2
Why this answer is correct
The correct answer is B. (55). (M(6)=25+5(6)=55). Multiply first and then add.
Step 3
Exam Tip
(M(6)=25+5(6)=55) है। पहले गुणा करें फिर जोड़ें।
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यदि (N(x)=58-2x), तो (N(9)) क्या है?
If (N(x)=58-2x), what is (N(9))?
#linear_decay
#value
#substitution
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A (40)
B (49)
C (56)
D (76)
Explanation opens after your attempt
Step 1
Concept
(N(9)=58-2(9)=40). Pay attention to the sign while subtracting.
Step 2
Why this answer is correct
The correct answer is A. (40). (N(9)=58-2(9)=40). Pay attention to the sign while subtracting.
Step 3
Exam Tip
(N(9)=58-2(9)=40) है। घटाव करते समय चिन्ह पर ध्यान दें।
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किस नियम में आरंभिक मान (33) और वृद्धि दर (4) है?
Which rule has initial value (33) and growth rate (4)?
#linear_growth
#model_selection
#initial_value
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A (y=4+33x)
B (y=33-4x)
C (y=33+4x)
D (y=4x-33)
Explanation opens after your attempt
Correct Answer
C. (y=33+4x)
Step 1
Concept
The initial value is the constant term (33), and the growth rate is (4). So (y=33+4x) is correct.
Step 2
Why this answer is correct
The correct answer is C. (y=33+4x). The initial value is the constant term (33), and the growth rate is (4). So (y=33+4x) is correct.
Step 3
Exam Tip
आरंभिक मान नियतांक पद (33) है और वृद्धि दर (4) है। इसलिए (y=33+4x) सही है।
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किस नियम में आरंभिक मान (96) और क्षय दर (12) है?
Which rule has initial value (96) and decay rate (12)?
#linear_decay
#model_selection
#initial_value
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A (y=96+12x)
B (y=12-96x)
C (y=12x-96)
D (y=96-12x)
Explanation opens after your attempt
Correct Answer
D. (y=96-12x)
Step 1
Concept
In decay, the coefficient is negative. Initial value (96) and rate (-12) give (y=96-12x).
Step 2
Why this answer is correct
The correct answer is D. (y=96-12x). In decay, the coefficient is negative. Initial value (96) and rate (-12) give (y=96-12x).
Step 3
Exam Tip
क्षय में गुणांक ऋणात्मक होता है। आरंभिक मान (96) और दर (-12) से (y=96-12x) बनता है।
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यदि (F(t)=41+6t), तो (F(0)) क्या है?
If (F(t)=41+6t), what is (F(0))?
#initial_value
#linear_growth
#value_at_zero
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A (6)
B (41)
C (47)
D (0)
Explanation opens after your attempt
Step 1
Concept
Putting (t=0), (F(0)=41). This is the initial value.
Step 2
Why this answer is correct
The correct answer is B. (41). Putting (t=0), (F(0)=41). This is the initial value.
Step 3
Exam Tip
(t=0) रखने पर (F(0)=41) है। यह आरंभिक मान है।
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यदि (G(t)=115-5t), तो (G(0)) क्या है?
If (G(t)=115-5t), what is (G(0))?
#initial_value
#linear_decay
#value_at_zero
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A (5)
B (110)
C (115)
D (120)
Explanation opens after your attempt
Step 1
Concept
Putting (t=0), the decreasing term becomes (0). Therefore (G(0)=115).
Step 2
Why this answer is correct
The correct answer is C. (115). Putting (t=0), the decreasing term becomes (0). Therefore (G(0)=115).
Step 3
Exam Tip
(t=0) रखने पर घटने वाला पद (0) हो जाता है। इसलिए (G(0)=115) है।
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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))?
#linear_growth
#difference
#rate
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A (8)
B (12)
C (16)
D (28)
Explanation opens after your attempt
Step 1
Concept
There are (7-3=4) steps, and each step increases by (4). So the difference is (16).
Step 2
Why this answer is correct
The correct answer is C. (16). There are (7-3=4) steps, and each step increases by (4). So the difference is (16).
Step 3
Exam Tip
(7-3=4) चरण हैं और हर चरण वृद्धि (4) है। इसलिए अंतर (16) है।
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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))?
#linear_decay
#difference
#rate
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A (20)
B (30)
C (40)
D (60)
Explanation opens after your attempt
Step 1
Concept
(T(2)=120) and (T(6)=80). Therefore the difference is (40).
Step 2
Why this answer is correct
The correct answer is C. (40). (T(2)=120) and (T(6)=80). Therefore the difference is (40).
Step 3
Exam Tip
(T(2)=120) और (T(6)=80) हैं। इसलिए अंतर (40) है।
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यदि (y=27+0x), तो यह किस प्रकार का मान दिखाता है?
If (y=27+0x), what type of value does it show?
#constant_value
#zero_rate
#linear_expression
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A रेखीय वृद्धि / Linear growth
B रेखीय क्षय / Linear decay
C द्विघात परिवर्तन / Quadratic change
D स्थिर मान / Constant value
Explanation opens after your attempt
Correct Answer
D. 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 D. 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 (Z(t)=16+9t), तो वृद्धि दर क्या है?
If (Z(t)=16+9t), what is the growth rate?
#linear_growth
#growth_rate
#coefficient
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A (16)
B (25)
C (9)
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 C. (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 (V(t)=108-18t), तो क्षय दर का परिमाण क्या है?
If (V(t)=108-18t), what is the magnitude of the decay rate?
#linear_decay
#decay_rate
#magnitude
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A (108)
B (90)
C (18)
D (-18)
Explanation opens after your attempt
Step 1
Concept
The rate is (-18), and its magnitude is (18). The amount of decay is taken in positive form.
Step 2
Why this answer is correct
The correct answer is C. (18). The rate is (-18), and its magnitude is (18). The amount of decay is taken in positive form.
Step 3
Exam Tip
दर (-18) है और उसका परिमाण (18) है। क्षय की मात्रा धनात्मक रूप में ली जाती है।
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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?
#linear_growth
#word_problem
#model
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A (y=5+12x)
B (y=12-5x)
C (y=5x-12)
D (y=12+5x)
Explanation opens after your attempt
Correct Answer
D. (y=12+5x)
Step 1
Concept
The initial value is (12), and the growth rate is (5). So (y=12+5x) is correct.
Step 2
Why this answer is correct
The correct answer is D. (y=12+5x). The initial value is (12), and the growth rate is (5). So (y=12+5x) is correct.
Step 3
Exam Tip
आरंभिक मान (12) है और वृद्धि दर (5) है। इसलिए (y=12+5x) सही है।
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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?
#linear_decay
#word_problem
#model
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A (y=66+3x)
B (y=3-66x)
C (y=66-3x)
D (y=3x+66)
Explanation opens after your attempt
Correct Answer
C. (y=66-3x)
Step 1
Concept
The initial value is (66), and the decrease is (3) per step. So (y=66-3x) is correct.
Step 2
Why this answer is correct
The correct answer is C. (y=66-3x). The initial value is (66), and the decrease is (3) per step. So (y=66-3x) is correct.
Step 3
Exam Tip
आरंभिक मान (66) है और कमी (3) प्रति चरण है। इसलिए (y=66-3x) सही है।
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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))?
#linear_growth
#consecutive_difference
#rate
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A (11)
B (21)
C (44)
D (55)
Explanation opens after your attempt
Step 1
Concept
The difference between consecutive values equals the growth rate. Here the rate is (11).
Step 2
Why this answer is correct
The correct answer is A. (11). The difference between consecutive values equals the growth rate. Here the rate is (11).
Step 3
Exam Tip
लगातार दो मानों का अंतर वृद्धि दर के बराबर होता है। यहां दर (11) है।
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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))?
#linear_decay
#consecutive_difference
#rate
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A (12)
B (24)
C (48)
D (96)
Explanation opens after your attempt
Step 1
Concept
The decrease between two consecutive steps equals the magnitude of the rate. Here the decrease is (12).
Step 2
Why this answer is correct
The correct answer is A. (12). The decrease between two consecutive steps equals the magnitude of the rate. Here the decrease is (12).
Step 3
Exam Tip
लगातार दो चरणों में कमी दर के परिमाण के बराबर होती है। यहां कमी (12) है।
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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)?
#linear_growth
#total_increase
#rate
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A (6)
B (30)
C (38)
D (40)
Explanation opens after your attempt
Step 1
Concept
The rate is (6), and there are (5) steps. The total increase is \(6\times5=30\).
Step 2
Why this answer is correct
The correct answer is B. (30). The rate is (6), and there are (5) steps. The total increase is \(6\times5=30\).
Step 3
Exam Tip
दर (6) है और (5) चरण हैं। कुल वृद्धि \(6\times5=30\) है।
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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)?
#linear_decay
#total_decrease
#rate
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A (4)
B (36)
C (84)
D (88)
Explanation opens after your attempt
Step 1
Concept
The decrease rate is (4), and there are (9) steps. The total decrease is \(4\times9=36\).
Step 2
Why this answer is correct
The correct answer is B. (36). The decrease rate is (4), and there are (9) steps. The total decrease is \(4\times9=36\).
Step 3
Exam Tip
कमी दर (4) है और (9) चरण हैं। कुल कमी \(4\times9=36\) है।
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कौन सा कथन (y=19+7x) के लिए सही है?
Which statement is correct for (y=19+7x)?
#linear_growth
#identify_statement
#positive_rate
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A यह रेखीय क्षय है / It is linear decay
B यह स्थिर है / It is constant
C यह द्विघात है / It is quadratic
D यह रेखीय वृद्धि है / It is linear growth
Explanation opens after your attempt
Correct Answer
D. यह रेखीय वृद्धि है / It is linear growth
Step 1
Concept
The coefficient of (x) is (7), which is positive. Therefore it is linear growth.
Step 2
Why this answer is correct
The correct answer is D. यह रेखीय वृद्धि है / It is linear growth. The coefficient of (x) is (7), which is positive. Therefore it is linear growth.
Step 3
Exam Tip
(x) का गुणांक (7) धनात्मक है। इसलिए यह रेखीय वृद्धि है।
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कौन सा कथन (y=52-4x) के लिए सही है?
Which statement is correct for (y=52-4x)?
#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 (-4), 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 (-4), which is negative. Therefore it is linear decay.
Step 3
Exam Tip
(x) का गुणांक (-4) ऋणात्मक है। इसलिए यह रेखीय क्षय है।
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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)?
#linear_growth
#value
#substitution
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A (23)
B (63)
C (77)
D (86)
Explanation opens after your attempt
Step 1
Concept
(U(7)=9(7)+14=77). Multiply first and then add.
Step 2
Why this answer is correct
The correct answer is C. (77). (U(7)=9(7)+14=77). Multiply first and then add.
Step 3
Exam Tip
(U(7)=9(7)+14=77) है। पहले गुणा करें फिर जोड़ें।
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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)?
#linear_decay
#value
#substitution
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A (34)
B (44)
C (66)
D (94)
Explanation opens after your attempt
Step 1
Concept
(J(11)=100-6(11)=34). In decay, subtract the total decrease.
Step 2
Why this answer is correct
The correct answer is A. (34). (J(11)=100-6(11)=34). In decay, subtract the total decrease.
Step 3
Exam Tip
(J(11)=100-6(11)=34) है। क्षय में कुल कमी घटाएं।
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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))?
#linear_growth
#difference
#initial_value
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A (8)
B (48)
C (66)
D (72)
Explanation opens after your attempt
Step 1
Concept
In (6) steps, the increase is (8) each time. The total difference is (48).
Step 2
Why this answer is correct
The correct answer is B. (48). In (6) steps, the increase is (8) each time. The total difference is (48).
Step 3
Exam Tip
(6) चरणों में हर बार (8) वृद्धि होती है। कुल अंतर (48) है।
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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))?
#linear_decay
#difference
#total_decrease
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A (12)
B (96)
C (152)
D (160)
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Step 1
Concept
There is a decrease of (8) per step for (12) steps. The total decrease is (96).
Step 2
Why this answer is correct
The correct answer is B. (96). There is a decrease of (8) per step for (12) steps. The total decrease is (96).
Step 3
Exam Tip
(12) चरणों में प्रति चरण (8) की कमी है। कुल कमी (96) है।
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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?
#linear_growth
#coefficient_meaning
#rate
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A आरंभिक मान (21) है / Initial value is (21)
B हर चरण में (5) की वृद्धि / Increase of (5) each step
C हर चरण में (21) की वृद्धि / Increase of (21) each step
D कुल मान (26) है / Total value is (26)
Explanation opens after your attempt
Correct Answer
B. हर चरण में (5) की वृद्धि / Increase of (5) each step
Step 1
Concept
The coefficient of (x) is (5). It shows the growth rate per step.
Step 2
Why this answer is correct
The correct answer is B. हर चरण में (5) की वृद्धि / Increase of (5) each step. The coefficient of (x) is (5). It shows the growth rate per step.
Step 3
Exam Tip
(x) का गुणांक (5) है। यह प्रति चरण वृद्धि दर बताता है।
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नियम (y=125-5x) में (5) क्या बताता है?
In the rule (y=125-5x), what does (5) represent?
#linear_decay
#coefficient_meaning
#rate
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A आरंभिक मान / Initial value
B अंतिम मान / Final value
C प्रति चरण कमी / Decrease per step
D शून्य दर / Zero rate
Explanation opens after your attempt
Correct Answer
C. प्रति चरण कमी / Decrease per step
Step 1
Concept
(-5x) shows that (5) decreases each step. (125) is the initial value.
Step 2
Why this answer is correct
The correct answer is C. प्रति चरण कमी / Decrease per step. (-5x) shows that (5) decreases each step. (125) is the initial value.
Step 3
Exam Tip
(-5x) बताता है कि हर चरण में (5) की कमी होती है। (125) आरंभिक मान है।
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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)?
#initial_value
#linear_growth
#parameter
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A (7)
B (24)
C (31)
D (38)
Explanation opens after your attempt
Step 1
Concept
Putting (t=0), (P(0)=a). Therefore (a=31).
Step 2
Why this answer is correct
The correct answer is C. (31). Putting (t=0), (P(0)=a). Therefore (a=31).
Step 3
Exam Tip
(t=0) रखने पर (P(0)=a) होता है। इसलिए (a=31) है।
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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)?
#initial_value
#linear_decay
#parameter
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A (10)
B (65)
C (75)
D (85)
Explanation opens after your attempt
Step 1
Concept
Putting (t=0), (R(0)=b). Therefore (b=75).
Step 2
Why this answer is correct
The correct answer is C. (75). Putting (t=0), (R(0)=b). Therefore (b=75).
Step 3
Exam Tip
(t=0) रखने पर (R(0)=b) होता है। इसलिए (b=75) है।
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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)?
#linear_growth
#parameter_condition
#rate_sign
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A (k>0)
B (k<0)
C (k=0)
D (k=29) ही / (k=29) only
Explanation opens after your attempt
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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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?
#linear_decay
#parameter_condition
#behavior
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A (y) बढ़ेगा / (y) will increase
B (y) घटेगा / (y) will decrease
C (y) स्थिर रहेगा / (y) will remain constant
D (y) हमेशा (92) रहेगा / (y) will always be (92)
Explanation opens after your attempt
Correct Answer
B. (y) घटेगा / (y) will decrease
Step 1
Concept
(kt) is being subtracted and (k>0). Therefore (y) will decrease as (t) increases.
Step 2
Why this answer is correct
The correct answer is B. (y) घटेगा / (y) will decrease. (kt) is being subtracted and (k>0). Therefore (y) will decrease as (t) increases.
Step 3
Exam Tip
(kt) घटाया जा रहा है और (k>0) है। इसलिए (t) बढ़ने पर (y) घटेगा।
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यदि (H(t)=36+4t), तो (H(10)) क्या है?
If (H(t)=36+4t), what is (H(10))?
#linear_growth
#value
#substitution
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A (40)
B (76)
C (46)
D (72)
Explanation opens after your attempt
Step 1
Concept
(H(10)=36+4(10)=76). In simple linear growth, substitute directly.
Step 2
Why this answer is correct
The correct answer is B. (76). (H(10)=36+4(10)=76). In simple linear growth, substitute directly.
Step 3
Exam Tip
(H(10)=36+4(10)=76) है। सरल रेखीय वृद्धि में सीधे प्रतिस्थापन करें।
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यदि (K(t)=144-12t), तो (K(8)) क्या है?
If (K(t)=144-12t), what is (K(8))?
#linear_decay
#value
#substitution
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A (48)
B (96)
C (136)
D (56)
Explanation opens after your attempt
Step 1
Concept
(K(8)=144-12(8)=48). In decay, subtract the total decrease.
Step 2
Why this answer is correct
The correct answer is A. (48). (K(8)=144-12(8)=48). In decay, subtract the total decrease.
Step 3
Exam Tip
(K(8)=144-12(8)=48) है। क्षय में कुल कमी घटाएं।
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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)?
#linear_growth
#total_increase
#rate
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A (18)
B (30)
C (42)
D (53)
Explanation opens after your attempt
Step 1
Concept
There is a difference of (5) steps and the rate is (6). The total increase is \(6\times5=30\).
Step 2
Why this answer is correct
The correct answer is B. (30). There is a difference of (5) steps and the rate is (6). The total increase is \(6\times5=30\).
Step 3
Exam Tip
(5) चरणों का अंतर है और दर (6) है। कुल वृद्धि \(6\times5=30\) है।
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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)?
#linear_decay
#total_decrease
#rate
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A (7)
B (28)
C (35)
D (42)
Explanation opens after your attempt
Step 1
Concept
There is a difference of (5) steps and the decrease rate is (7). The total decrease is \(7\times5=35\).
Step 2
Why this answer is correct
The correct answer is C. (35). There is a difference of (5) steps and the decrease rate is (7). The total decrease is \(7\times5=35\).
Step 3
Exam Tip
(5) चरणों का अंतर है और कमी दर (7) है। कुल कमी \(7\times5=35\) है।
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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?
#linear_growth
#word_problem
#model
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A (y=6+5x)
B (y=5-6x)
C (y=6x-5)
D (y=5+6x)
Explanation opens after your attempt
Correct Answer
D. (y=5+6x)
Step 1
Concept
The initial number is (5), and the growth rate is (6). So (y=5+6x) is correct.
Step 2
Why this answer is correct
The correct answer is D. (y=5+6x). The initial number is (5), and the growth rate is (6). So (y=5+6x) is correct.
Step 3
Exam Tip
आरंभिक संख्या (5) है और वृद्धि दर (6) है। इसलिए (y=5+6x) सही है।
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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)?
#linear_growth
#value
#substitution
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A (45)
B (60)
C (18)
D (48)
Explanation opens after your attempt
Step 1
Concept
(y=42+3(6)=60). In linear growth, substitute the given value directly.
Step 2
Why this answer is correct
The correct answer is B. (60). (y=42+3(6)=60). In linear growth, substitute the given value directly.
Step 3
Exam Tip
(y=42+3(6)=60) है। रेखीय वृद्धि में दिए गए मान को सीधे रखें।
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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)?
#linear_decay
#value
#substitution
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A (40)
B (45)
C (80)
D (90)
Explanation opens after your attempt
Step 1
Concept
(y=85-5(9)=40). In linear decay, subtract the total decrease.
Step 2
Why this answer is correct
The correct answer is A. (40). (y=85-5(9)=40). In linear decay, subtract the total decrease.
Step 3
Exam Tip
(y=85-5(9)=40) है। रेखीय क्षय में कुल कमी घटाएं।
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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)?
#linear_growth
#total_increase
#rate
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A (18)
B (27)
C (36)
D (54)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (6-2=4) and the rate is (9). The total increase is \(9\times4=36\).
Step 2
Why this answer is correct
The correct answer is C. (36). The change in (x) is (6-2=4) and the rate is (9). The total increase is \(9\times4=36\).
Step 3
Exam Tip
(x) में परिवर्तन (6-2=4) है और दर (9) है। कुल वृद्धि \(9\times4=36\) है।
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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)?
#linear_decay
#total_decrease
#rate
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A (22)
B (33)
C (44)
D (55)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (7-3=4) and the decay rate is (11). The total decrease is \(11\times4=44\).
Step 2
Why this answer is correct
The correct answer is C. (44). The change in (x) is (7-3=4) and the decay rate is (11). The total decrease is \(11\times4=44\).
Step 3
Exam Tip
(x) में परिवर्तन (7-3=4) है और कमी दर (11) है। कुल कमी \(11\times4=44\) है।
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