एक पौधे की ऊंचाई (H(t)=30+6t) सेमी है। (t=5) पर ऊंचाई क्या होगी?
A plant's height is (H(t)=30+6t) cm. What will be the height at (t=5)?
#linear_growth
#value
#substitution
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A (30) सेमी / (30) cm
B (36) सेमी / (36) cm
C (60) सेमी / (60) cm
D (66) सेमी / (66) cm
Explanation opens after your attempt
Correct Answer
C. (60) सेमी / (60) cm
Step 1
Concept
(H(5)=30+6(5)=60). After substituting the variable value, multiply first.
Step 2
Why this answer is correct
The correct answer is C. (60) सेमी / (60) cm. (H(5)=30+6(5)=60). After substituting the variable value, multiply first.
Step 3
Exam Tip
(H(5)=30+6(5)=60) है। चर का मान रखने के बाद पहले गुणा करें।
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एक टंकी में पानी (W(t)=180-12t) लीटर बचता है। (t=9) पर पानी कितना बचेगा?
Water left in a tank is (W(t)=180-12t) litres. How much water will remain at (t=9)?
#linear_decay
#value
#tank
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A (72) लीटर / (72) litres
B (84) लीटर / (84) litres
C (96) लीटर / (96) litres
D (108) लीटर / (108) litres
Explanation opens after your attempt
Correct Answer
A. (72) लीटर / (72) litres
Step 1
Concept
(W(9)=180-12(9)=72). In decay, subtract the total decrease from the initial value.
Step 2
Why this answer is correct
The correct answer is A. (72) लीटर / (72) litres. (W(9)=180-12(9)=72). In decay, subtract the total decrease from the initial value.
Step 3
Exam Tip
(W(9)=180-12(9)=72) है। क्षय में कुल कमी को आरंभिक मान से घटाएं।
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यदि (P(n)=55+8n), तो (P(7)-P(2)) का मान क्या है?
If (P(n)=55+8n), what is the value of (P(7)-P(2))?
#linear_growth
#difference
#rate
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A (24)
B (32)
C (40)
D (56)
Explanation opens after your attempt
Step 1
Concept
There are (7-2=5) steps and the increase per step is (8). So the difference is \(8\times5=40\).
Step 2
Why this answer is correct
The correct answer is C. (40). There are (7-2=5) steps and the increase per step is (8). So the difference is \(8\times5=40\).
Step 3
Exam Tip
(7-2=5) चरण हैं और प्रति चरण वृद्धि (8) है। इसलिए अंतर \(8\times5=40\) है।
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यदि (Q(t)=160-7t), तो (Q(4)-Q(10)) का मान क्या है?
If (Q(t)=160-7t), what is the value of (Q(4)-Q(10))?
#linear_decay
#difference
#rate
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A (28)
B (35)
C (42)
D (70)
Explanation opens after your attempt
Step 1
Concept
There are (10-4=6) steps and the decay rate is (7). So the difference is \(7\times6=42\).
Step 2
Why this answer is correct
The correct answer is C. (42). There are (10-4=6) steps and the decay rate is (7). So the difference is \(7\times6=42\).
Step 3
Exam Tip
(10-4=6) चरण हैं और कमी दर (7) है। इसलिए अंतर \(7\times6=42\) है।
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बचत राशि (S(m)=400+60m) रुपये है। राशि (760) रुपये कितने महीनों बाद होगी?
The saving amount is (S(m)=400+60m) rupees. After how many months will the amount be (760) rupees?
#linear_growth
#solve_time
#savings
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A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
From (400+60m=760), (60m=360) and (m=6). Set the target value equal to the model.
Step 2
Why this answer is correct
The correct answer is C. (6). From (400+60m=760), (60m=360) and (m=6). Set the target value equal to the model.
Step 3
Exam Tip
(400+60m=760) से (60m=360) और (m=6) मिलता है। लक्ष्य मान को मॉडल के बराबर रखें।
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बैटरी (B(h)=120-10h) प्रतिशत मॉडल से घटती है। बैटरी (50%) कब होगी?
A battery decreases by the model (B(h)=120-10h) percent. When will the battery be (50%)?
#linear_decay
#solve_time
#battery
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A (h=5)
B (h=6)
C (h=7)
D (h=8)
Explanation opens after your attempt
Step 1
Concept
From (120-10h=50), (10h=70) and (h=7). Solve the decreasing model carefully.
Step 2
Why this answer is correct
The correct answer is C. (h=7). From (120-10h=50), (10h=70) and (h=7). Solve the decreasing model carefully.
Step 3
Exam Tip
(120-10h=50) से (10h=70) और (h=7) है। क्षय में घटे हुए मान को सावधानी से हल करें।
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किस नियम में आरंभिक मान (42) और प्रति चरण (5) की वृद्धि है?
Which rule has initial value (42) and growth of (5) per step?
#linear_growth
#model_selection
#initial_value
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A (y=5+42x)
B (y=42-5x)
C (y=42+5x)
D (y=5x-42)
Explanation opens after your attempt
Correct Answer
C. (y=42+5x)
Step 1
Concept
The initial value is the constant (42) and the growth rate is (5). So (y=42+5x) is correct.
Step 2
Why this answer is correct
The correct answer is C. (y=42+5x). The initial value is the constant (42) and the growth rate is (5). So (y=42+5x) is correct.
Step 3
Exam Tip
आरंभिक मान नियतांक (42) है और वृद्धि दर (5) है। इसलिए (y=42+5x) सही है।
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किस नियम में आरंभिक मान (210) और प्रति चरण (14) की कमी है?
Which rule has initial value (210) and decrease of (14) per step?
#linear_decay
#model_selection
#initial_value
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A (y=210+14x)
B (y=14-210x)
C (y=14x-210)
D (y=210-14x)
Explanation opens after your attempt
Correct Answer
D. (y=210-14x)
Step 1
Concept
For decrease, the coefficient of (x) must be negative. So (y=210-14x) is the correct model.
Step 2
Why this answer is correct
The correct answer is D. (y=210-14x). For decrease, the coefficient of (x) must be negative. So (y=210-14x) is the correct model.
Step 3
Exam Tip
कमी के लिए (x) का गुणांक ऋणात्मक होगा। इसलिए (y=210-14x) सही मॉडल है।
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यदि (y=28+9x) और (x) (2) से (8) हो जाए, तो (y) में कुल वृद्धि कितनी होगी?
If (y=28+9x) and (x) changes from (2) to (8), what is the total increase in (y)?
#linear_growth
#total_change
#interval
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A (36)
B (45)
C (54)
D (72)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (8-2=6) and the rate is (9). Total increase is \(9\times6=54\).
Step 2
Why this answer is correct
The correct answer is C. (54). The change in (x) is (8-2=6) and the rate is (9). Total increase is \(9\times6=54\).
Step 3
Exam Tip
(x) में परिवर्तन (8-2=6) है और दर (9) है। कुल वृद्धि \(9\times6=54\) है।
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यदि (y=125-6x) और (x) (3) से (11) हो जाए, तो (y) में कुल कमी कितनी होगी?
If (y=125-6x) and (x) changes from (3) to (11), what is the total decrease in (y)?
#linear_decay
#total_change
#interval
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A (36)
B (42)
C (48)
D (54)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (11-3=8) and the decrease rate is (6). Total decrease is \(6\times8=48\).
Step 2
Why this answer is correct
The correct answer is C. (48). The change in (x) is (11-3=8) and the decrease rate is (6). Total decrease is \(6\times8=48\).
Step 3
Exam Tip
(x) में परिवर्तन (11-3=8) है और कमी दर (6) है। कुल कमी \(6\times8=48\) है।
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यदि (A(t)=a+9t) और (A(3)=57), तो (a) क्या है?
If (A(t)=a+9t) and (A(3)=57), what is (a)?
#linear_growth
#parameter
#initial_value
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A (21)
B (27)
C (30)
D (36)
Explanation opens after your attempt
Step 1
Concept
From (a+9(3)=57), (a+27=57) and (a=30). Form an equation for the unknown initial value.
Step 2
Why this answer is correct
The correct answer is C. (30). From (a+9(3)=57), (a+27=57) and (a=30). Form an equation for the unknown initial value.
Step 3
Exam Tip
(a+9(3)=57) से (a+27=57) और (a=30) है। अज्ञात आरंभिक मान के लिए समीकरण बनाएं।
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यदि (R(t)=b-11t) और (R(4)=76), तो (b) क्या है?
If (R(t)=b-11t) and (R(4)=76), what is (b)?
#linear_decay
#parameter
#initial_value
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A (87)
B (98)
C (110)
D (120)
Explanation opens after your attempt
Step 1
Concept
From (b-11(4)=76), (b-44=76) and (b=120). In decay, add back the decreased amount.
Step 2
Why this answer is correct
The correct answer is D. (120). From (b-11(4)=76), (b-44=76) and (b=120). In decay, add back the decreased amount.
Step 3
Exam Tip
(b-11(4)=76) से (b-44=76) और (b=120) है। क्षय में घटाई गई मात्रा वापस जोड़ें।
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एक दुकान की बिक्री (V(d)=650+45d) रुपये है। (d=2) और (d=8) के बीच वृद्धि कितनी है?
A shop's sales are (V(d)=650+45d) rupees. What is the increase between (d=2) and (d=8)?
#linear_growth
#word_problem
#difference
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A (180) रुपये / (180) rupees
B (225) रुपये / (225) rupees
C (270) रुपये / (270) rupees
D (360) रुपये / (360) rupees
Explanation opens after your attempt
Correct Answer
C. (270) रुपये / (270) rupees
Step 1
Concept
The day difference is (8-2=6) and the rate is (45). The increase is \(45\times6=270\) rupees.
Step 2
Why this answer is correct
The correct answer is C. (270) रुपये / (270) rupees. The day difference is (8-2=6) and the rate is (45). The increase is \(45\times6=270\) rupees.
Step 3
Exam Tip
दिनों का अंतर (8-2=6) है और दर (45) है। वृद्धि \(45\times6=270\) रुपये है।
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एक मोमबत्ती की लंबाई (L(h)=48-4h) सेमी है। (h=3) और (h=9) के बीच लंबाई कितनी घटेगी?
A candle's length is (L(h)=48-4h) cm. How much will the length decrease between (h=3) and (h=9)?
#linear_decay
#word_problem
#difference
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A (16) सेमी / (16) cm
B (20) सेमी / (20) cm
C (24) सेमी / (24) cm
D (36) सेमी / (36) cm
Explanation opens after your attempt
Correct Answer
C. (24) सेमी / (24) cm
Step 1
Concept
The time difference is (9-3=6) and the decrease rate is (4). Total decrease is \(4\times6=24\) cm.
Step 2
Why this answer is correct
The correct answer is C. (24) सेमी / (24) cm. The time difference is (9-3=6) and the decrease rate is (4). Total decrease is \(4\times6=24\) cm.
Step 3
Exam Tip
समय का अंतर (9-3=6) है और कमी दर (4) है। कुल कमी \(4\times6=24\) सेमी है।
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कौन सा नियम रेखीय वृद्धि है और आरंभिक मान (24) भी रखता है?
Which rule is linear growth and also has initial value (24)?
#linear_growth
#identify_rule
#initial_value
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A (y=24-7x)
B (y=7+24x)
C (y=24+7x)
D \(y=x^2+24\)
Explanation opens after your attempt
Correct Answer
C. (y=24+7x)
Step 1
Concept
Linear growth needs a positive rate and initial value (24). (y=24+7x) satisfies both conditions.
Step 2
Why this answer is correct
The correct answer is C. (y=24+7x). Linear growth needs a positive rate and initial value (24). (y=24+7x) satisfies both conditions.
Step 3
Exam Tip
रेखीय वृद्धि के लिए दर धनात्मक और आरंभिक मान (24) चाहिए। (y=24+7x) दोनों शर्तें पूरी करता है।
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कौन सा नियम रेखीय क्षय है और आरंभिक मान (150) भी रखता है?
Which rule is linear decay and also has initial value (150)?
#linear_decay
#identify_rule
#initial_value
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A (y=150-12x)
B (y=150+12x)
C (y=12-150x)
D \(y=x^2-150\)
Explanation opens after your attempt
Correct Answer
A. (y=150-12x)
Step 1
Concept
Linear decay needs a negative rate and initial value (150). (y=150-12x) is correct.
Step 2
Why this answer is correct
The correct answer is A. (y=150-12x). Linear decay needs a negative rate and initial value (150). (y=150-12x) is correct.
Step 3
Exam Tip
रेखीय क्षय के लिए दर ऋणात्मक और आरंभिक मान (150) चाहिए। (y=150-12x) सही है।
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यदि (M(t)=m+8t) और (M(2)=44), तो (M(7)) क्या होगा?
If (M(t)=m+8t) and (M(2)=44), what will (M(7)) be?
#linear_growth
#two_step
#parameter
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A (68)
B (76)
C (84)
D (92)
Explanation opens after your attempt
Step 1
Concept
First (m+16=44) gives (m=28). Then (M(7)=28+56=84).
Step 2
Why this answer is correct
The correct answer is C. (84). First (m+16=44) gives (m=28). Then (M(7)=28+56=84).
Step 3
Exam Tip
पहले (m+16=44) से (m=28) है। फिर (M(7)=28+56=84) है।
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यदि (N(t)=n-6t) और (N(5)=70), तो (N(12)) क्या होगा?
If (N(t)=n-6t) and (N(5)=70), what will (N(12)) be?
#linear_decay
#two_step
#parameter
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A (28)
B (34)
C (40)
D (46)
Explanation opens after your attempt
Step 1
Concept
First (n-30=70) gives (n=100). Then (N(12)=100-72=28).
Step 2
Why this answer is correct
The correct answer is A. (28). First (n-30=70) gives (n=100). Then (N(12)=100-72=28).
Step 3
Exam Tip
पहले (n-30=70) से (n=100) है। फिर (N(12)=100-72=28) है।
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यदि (y=45+kx) और (x=6) पर (y=81), तो (k) क्या है?
If (y=45+kx) and (y=81) at (x=6), what is (k)?
#linear_growth
#find_rate
#parameter
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A (4)
B (6)
C (9)
D (36)
Explanation opens after your attempt
Step 1
Concept
From (45+6k=81), (6k=36) and (k=6). The coefficient represents the rate.
Step 2
Why this answer is correct
The correct answer is B. (6). From (45+6k=81), (6k=36) and (k=6). The coefficient represents the rate.
Step 3
Exam Tip
(45+6k=81) से (6k=36) और (k=6) है। गुणांक दर को बताता है।
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यदि (y=200-kx) और (x=8) पर (y=136), तो (k) क्या है?
If (y=200-kx) and (y=136) at (x=8), what is (k)?
#linear_decay
#find_rate
#parameter
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A (6)
B (8)
C (12)
D (64)
Explanation opens after your attempt
Step 1
Concept
From (200-8k=136), (8k=64) and (k=8). The decay rate magnitude is (8).
Step 2
Why this answer is correct
The correct answer is B. (8). From (200-8k=136), (8k=64) and (k=8). The decay rate magnitude is (8).
Step 3
Exam Tip
(200-8k=136) से (8k=64) और (k=8) मिलता है। क्षय दर का परिमाण (8) है।
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दो मॉडल (A(t)=20+5t) और (B(t)=50+2t) हैं। (t=7) पर कौन सा मान बड़ा है?
Two models are (A(t)=20+5t) and (B(t)=50+2t). Which value is greater at (t=7)?
#linear_growth
#comparison
#models
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A (A(t)) बड़ा है / (A(t)) is greater
B (B(t)) बड़ा है / (B(t)) is greater
C दोनों बराबर हैं / Both are equal
D निर्धारित नहीं / Cannot be determined
Explanation opens after your attempt
Correct Answer
B. (B(t)) बड़ा है / (B(t)) is greater
Step 1
Concept
(A(7)=55) and (B(7)=64). Therefore (B(t)) is greater.
Step 2
Why this answer is correct
The correct answer is B. (B(t)) बड़ा है / (B(t)) is greater. (A(7)=55) and (B(7)=64). Therefore (B(t)) is greater.
Step 3
Exam Tip
(A(7)=55) और (B(7)=64) है। इसलिए (B(t)) बड़ा है।
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दो मॉडल (C(t)=140-8t) और (D(t)=110-3t) हैं। (t=6) पर सही तुलना क्या है?
Two models are (C(t)=140-8t) and (D(t)=110-3t). What is the correct comparison at (t=6)?
#linear_decay
#comparison
#models
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A (C(6)>D(6))
B (D(6)>C(6))
C (C(6)=D(6))
D दोनों शून्य हैं / Both are zero
Explanation opens after your attempt
Correct Answer
C. (C(6)=D(6))
Step 1
Concept
(C(6)=92) and (D(6)=92). Therefore both are equal.
Step 2
Why this answer is correct
The correct answer is C. (C(6)=D(6)). (C(6)=92) and (D(6)=92). Therefore both are equal.
Step 3
Exam Tip
(C(6)=92) और (D(6)=92) हैं। इसलिए दोनों बराबर हैं।
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यदि (T(t)=54+6t), तो (T(t)=102) कब होगा?
If (T(t)=54+6t), when will (T(t)=102)?
#linear_growth
#solve_time
#target
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A (t=6)
B (t=7)
C (t=8)
D (t=9)
Explanation opens after your attempt
Step 1
Concept
From (54+6t=102), (6t=48) and (t=8). Solve the equation for the target value.
Step 2
Why this answer is correct
The correct answer is C. (t=8). From (54+6t=102), (6t=48) and (t=8). Solve the equation for the target value.
Step 3
Exam Tip
(54+6t=102) से (6t=48) और (t=8) है। लक्ष्य मान के लिए समीकरण हल करें।
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यदि (U(t)=150-15t), तो (U(t)=45) कब होगा?
If (U(t)=150-15t), when will (U(t)=45)?
#linear_decay
#solve_time
#target
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A (t=5)
B (t=6)
C (t=7)
D (t=9)
Explanation opens after your attempt
Step 1
Concept
From (150-15t=45), (15t=105) and (t=7). Move the subtraction term correctly in decay.
Step 2
Why this answer is correct
The correct answer is C. (t=7). From (150-15t=45), (15t=105) and (t=7). Move the subtraction term correctly in decay.
Step 3
Exam Tip
(150-15t=45) से (15t=105) और (t=7) है। क्षय में घटाव को सही दिशा में ले जाएं।
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यदि (f(x)=25+6x), तो (f(x+4)-f(x)) का मान क्या है?
If (f(x)=25+6x), what is the value of (f(x+4)-f(x))?
#linear_growth
#function_difference
#rate
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A (12)
B (18)
C (24)
D (30)
Explanation opens after your attempt
Step 1
Concept
When (x) increases by (4), rate (6) gives increase (24). So the difference is (24).
Step 2
Why this answer is correct
The correct answer is C. (24). When (x) increases by (4), rate (6) gives increase (24). So the difference is (24).
Step 3
Exam Tip
(x) में (4) की वृद्धि पर दर (6) के कारण वृद्धि (24) होती है। इसलिए अंतर (24) है।
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यदि (g(x)=120-9x), तो (g(x)-g(x+5)) का मान क्या है?
If (g(x)=120-9x), what is the value of (g(x)-g(x+5))?
#linear_decay
#function_difference
#rate
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A (27)
B (36)
C (45)
D (54)
Explanation opens after your attempt
Step 1
Concept
When (x) increases by (5), the value decreases by \(9\times5=45\). So (g(x)-g(x+5)=45).
Step 2
Why this answer is correct
The correct answer is C. (45). When (x) increases by (5), the value decreases by \(9\times5=45\). So (g(x)-g(x+5)=45).
Step 3
Exam Tip
(x) में (5) की वृद्धि पर मान \(9\times5=45\) घटता है। इसलिए (g(x)-g(x+5)=45) है।
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किस विकल्प में (x) बढ़ने पर (y) हर बार (7) बढ़ता है और (y(0)=18) है?
Which option has (y) increasing by (7) each time (x) increases and (y(0)=18)?
#linear_growth
#model_selection
#condition
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A (y=7+18x)
B (y=18+7x)
C (y=18-7x)
D (y=7x-18)
Explanation opens after your attempt
Correct Answer
B. (y=18+7x)
Step 1
Concept
For (y(0)=18), the constant must be (18), and the growth rate must be (7). So (y=18+7x).
Step 2
Why this answer is correct
The correct answer is B. (y=18+7x). For (y(0)=18), the constant must be (18), and the growth rate must be (7). So (y=18+7x).
Step 3
Exam Tip
(y(0)=18) के लिए नियतांक (18) चाहिए और वृद्धि दर (7) चाहिए। इसलिए (y=18+7x) है।
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किस विकल्प में (x) बढ़ने पर (y) हर बार (8) घटता है और (y(0)=130) है?
Which option has (y) decreasing by (8) each time (x) increases and (y(0)=130)?
#linear_decay
#model_selection
#condition
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A (y=130+8x)
B (y=8-130x)
C (y=130-8x)
D (y=8x-130)
Explanation opens after your attempt
Correct Answer
C. (y=130-8x)
Step 1
Concept
The initial value must be (130) and the rate must be (-8). Therefore (y=130-8x) is correct.
Step 2
Why this answer is correct
The correct answer is C. (y=130-8x). The initial value must be (130) and the rate must be (-8). Therefore (y=130-8x) is correct.
Step 3
Exam Tip
आरंभिक मान (130) और दर (-8) चाहिए। इसलिए (y=130-8x) सही है।
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यदि (y=70+4x), तो (x=12) पर (y) और (x=5) पर (y) में अंतर क्या है?
If (y=70+4x), what is the difference between (y) at (x=12) and (y) at (x=5)?
#linear_growth
#difference
#rate
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A (24)
B (28)
C (32)
D (48)
Explanation opens after your attempt
Step 1
Concept
The difference in (x) is (12-5=7) and the rate is (4). So the difference is \(4\times7=28\).
Step 2
Why this answer is correct
The correct answer is B. (28). The difference in (x) is (12-5=7) and the rate is (4). So the difference is \(4\times7=28\).
Step 3
Exam Tip
(x) का अंतर (12-5=7) है और दर (4) है। इसलिए अंतर \(4\times7=28\) है।
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यदि (y=170-10x), तो (x=4) पर (y) और (x=11) पर (y) में अंतर कितना है?
If (y=170-10x), what is the difference between (y) at (x=4) and (y) at (x=11)?
#linear_decay
#difference
#rate
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A (50)
B (60)
C (70)
D (80)
Explanation opens after your attempt
Step 1
Concept
The difference in (x) is (11-4=7) and the decay rate is (10). So the difference is (70).
Step 2
Why this answer is correct
The correct answer is C. (70). The difference in (x) is (11-4=7) and the decay rate is (10). So the difference is (70).
Step 3
Exam Tip
(x) का अंतर (11-4=7) है और कमी दर (10) है। इसलिए अंतर (70) है।
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एक डेटा प्लान में डेटा (D(d)=4+1.5d) जीबी है। (d=8) पर कुल डेटा क्या होगा?
In a data plan, data is (D(d)=4+1.5d) GB. What will be the total data at (d=8)?
#linear_growth
#decimal_rate
#value
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A (12) जीबी / (12) GB
B (14) जीबी / (14) GB
C (16) जीबी / (16) GB
D (18) जीबी / (18) GB
Explanation opens after your attempt
Correct Answer
C. (16) जीबी / (16) GB
Step 1
Concept
(D(8)=4+1.5(8)=16). Multiply the decimal rate like a normal rate.
Step 2
Why this answer is correct
The correct answer is C. (16) जीबी / (16) GB. (D(8)=4+1.5(8)=16). Multiply the decimal rate like a normal rate.
Step 3
Exam Tip
(D(8)=4+1.5(8)=16) है। दशमलव दर को सामान्य दर की तरह गुणा करें।
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तापमान मॉडल (T(h)=44-2.5h) है। (h=10) पर तापमान क्या होगा?
The temperature model is (T(h)=44-2.5h). What will the temperature be at (h=10)?
#linear_decay
#decimal_rate
#value
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A (16)
B (17)
C (19)
D (21)
Explanation opens after your attempt
Step 1
Concept
(T(10)=44-2.5(10)=19). Subtract the decimal decrease directly too.
Step 2
Why this answer is correct
The correct answer is C. (19). (T(10)=44-2.5(10)=19). Subtract the decimal decrease directly too.
Step 3
Exam Tip
(T(10)=44-2.5(10)=19) है। दशमलव कमी को भी सीधे घटाएं।
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यदि (y=9+3.5x), तो (x=6) पर (y) क्या है?
If (y=9+3.5x), what is (y) at (x=6)?
#linear_growth
#decimal_rate
#substitution
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A (21)
B (27)
C (30)
D (35)
Explanation opens after your attempt
Step 1
Concept
(y=9+3.5(6)=30). Use the decimal coefficient like a normal coefficient.
Step 2
Why this answer is correct
The correct answer is C. (30). (y=9+3.5(6)=30). Use the decimal coefficient like a normal coefficient.
Step 3
Exam Tip
(y=9+3.5(6)=30) है। दशमलव गुणांक को सामान्य गुणांक की तरह इस्तेमाल करें।
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यदि (y=75-4.5x), तो (x=10) पर (y) क्या है?
If (y=75-4.5x), what is (y) at (x=10)?
#linear_decay
#decimal_rate
#substitution
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A (20)
B (25)
C (30)
D (35)
Explanation opens after your attempt
Step 1
Concept
(y=75-4.5(10)=30). Multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is C. (30). (y=75-4.5(10)=30). Multiply first and then subtract.
Step 3
Exam Tip
(y=75-4.5(10)=30) है। पहले गुणा करें फिर घटाएं।
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यदि (y=32+kx) रेखीय वृद्धि है और (k=0), तो कथन के बारे में क्या सही है?
If (y=32+kx) is linear growth and (k=0), what is correct about the statement?
#linear_growth
#zero_rate
#concept
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A यह वृद्धि नहीं है / It is not growth
B यह तेज वृद्धि है / It is fast growth
C यह क्षय है / It is decay
D यह द्विघात है / It is quadratic
Explanation opens after your attempt
Correct Answer
A. यह वृद्धि नहीं है / It is not growth
Step 1
Concept
When (k=0), (y=32) remains constant. For growth, (k>0) is needed.
Step 2
Why this answer is correct
The correct answer is A. यह वृद्धि नहीं है / It is not growth. When (k=0), (y=32) remains constant. For growth, (k>0) is needed.
Step 3
Exam Tip
(k=0) होने पर (y=32) स्थिर रहता है। वृद्धि के लिए (k>0) चाहिए।
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यदि (y=140-kx) रेखीय क्षय है और (k=0), तो कथन के बारे में क्या सही है?
If (y=140-kx) is linear decay and (k=0), what is correct about the statement?
#linear_decay
#zero_rate
#concept
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A यह क्षय नहीं है / It is not decay
B यह तेज क्षय है / It is fast decay
C यह वृद्धि है / It is growth
D यह घन है / It is cubic
Explanation opens after your attempt
Correct Answer
A. यह क्षय नहीं है / It is not decay
Step 1
Concept
When (k=0), (y=140) remains constant. Decay needs an effective negative rate.
Step 2
Why this answer is correct
The correct answer is A. यह क्षय नहीं है / It is not decay. When (k=0), (y=140) remains constant. Decay needs an effective negative rate.
Step 3
Exam Tip
(k=0) होने पर (y=140) स्थिर रहता है। क्षय के लिए प्रभावी ऋणात्मक दर चाहिए।
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एक क्लब में सदस्य (M(w)=60+4w) हैं। कितने सप्ताह बाद सदस्य (100) होंगे?
Members in a club are (M(w)=60+4w). After how many weeks will the members be (100)?
#linear_growth
#word_problem
#solve_time
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A (w=8)
B (w=9)
C (w=10)
D (w=12)
Explanation opens after your attempt
Step 1
Concept
From (60+4w=100), (4w=40) and (w=10). Form an equation for the target number.
Step 2
Why this answer is correct
The correct answer is C. (w=10). From (60+4w=100), (4w=40) and (w=10). Form an equation for the target number.
Step 3
Exam Tip
(60+4w=100) से (4w=40) और (w=10) है। लक्ष्य संख्या के लिए समीकरण बनाएं।
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एक गोदाम में सामान (I(d)=300-20d) बचता है। कब सामान (120) बचेगा?
Items left in a warehouse are (I(d)=300-20d). When will (120) items be left?
#linear_decay
#word_problem
#solve_time
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A (d=7)
B (d=8)
C (d=9)
D (d=10)
Explanation opens after your attempt
Step 1
Concept
From (300-20d=120), (20d=180) and (d=9). Set the remaining amount equal to the target.
Step 2
Why this answer is correct
The correct answer is C. (d=9). From (300-20d=120), (20d=180) and (d=9). Set the remaining amount equal to the target.
Step 3
Exam Tip
(300-20d=120) से (20d=180) और (d=9) है। बची मात्रा को लक्ष्य के बराबर रखें।
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यदि (f(x)=6x+11), तो (f(4)+f(8)) का मान क्या है?
If (f(x)=6x+11), what is the value of (f(4)+f(8))?
#linear_growth
#function_values
#sum
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A (82)
B (94)
C (96)
D (104)
Explanation opens after your attempt
Step 1
Concept
(f(4)=35) and (f(8)=59). Adding gives (94).
Step 2
Why this answer is correct
The correct answer is B. (94). (f(4)=35) and (f(8)=59). Adding gives (94).
Step 3
Exam Tip
(f(4)=35) और (f(8)=59) हैं। जोड़ने पर (94) मिलता है।
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यदि (g(x)=90-4x), तो (g(5)+g(12)) का मान क्या है?
If (g(x)=90-4x), what is the value of (g(5)+g(12))?
#linear_decay
#function_values
#sum
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A (102)
B (106)
C (112)
D (118)
Explanation opens after your attempt
Step 1
Concept
(g(5)=70) and (g(12)=42). Adding gives (112).
Step 2
Why this answer is correct
The correct answer is C. (112). (g(5)=70) and (g(12)=42). Adding gives (112).
Step 3
Exam Tip
(g(5)=70) और (g(12)=42) हैं। जोड़ने पर (112) मिलता है।
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यदि (A(x)=24+7x) और (B(x)=48+4x), तो दोनों कब बराबर होंगे?
If (A(x)=24+7x) and (B(x)=48+4x), when will both be equal?
#linear_growth
#comparison
#equality
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A (x=6)
B (x=8)
C (x=9)
D (x=12)
Explanation opens after your attempt
Step 1
Concept
From (24+7x=48+4x), (3x=24) and (x=8). Set both models equal for equality.
Step 2
Why this answer is correct
The correct answer is B. (x=8). From (24+7x=48+4x), (3x=24) and (x=8). Set both models equal for equality.
Step 3
Exam Tip
(24+7x=48+4x) से (3x=24) और (x=8) है। बराबरी के लिए दोनों मॉडल बराबर रखें।
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यदि (C(x)=180-9x) और (D(x)=120-3x), तो दोनों कब बराबर होंगे?
If (C(x)=180-9x) and (D(x)=120-3x), when will both be equal?
#linear_decay
#comparison
#equality
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A (x=8)
B (x=10)
C (x=12)
D (x=15)
Explanation opens after your attempt
Step 1
Concept
From (180-9x=120-3x), (60=6x) and (x=10). Equating both decay models gives the time.
Step 2
Why this answer is correct
The correct answer is B. (x=10). From (180-9x=120-3x), (60=6x) and (x=10). Equating both decay models gives the time.
Step 3
Exam Tip
(180-9x=120-3x) से (60=6x) और (x=10) है। दोनों क्षय मॉडल बराबर करने से समय मिलता है।
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यदि (y=36+8x), तो (x) का कौन सा मान (y=100) देता है?
If (y=36+8x), which value of (x) gives (y=100)?
#linear_growth
#solve_x
#target
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A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
From (36+8x=100), (8x=64) and (x=8). Substitute the target value and solve.
Step 2
Why this answer is correct
The correct answer is C. (8). From (36+8x=100), (8x=64) and (x=8). Substitute the target value and solve.
Step 3
Exam Tip
(36+8x=100) से (8x=64) और (x=8) है। लक्ष्य मान रखकर हल करें।
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यदि (y=165-12x), तो (x) का कौन सा मान (y=45) देता है?
If (y=165-12x), which value of (x) gives (y=45)?
#linear_decay
#solve_x
#target
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A (8)
B (9)
C (10)
D (12)
Explanation opens after your attempt
Step 1
Concept
From (165-12x=45), (12x=120) and (x=10). Pay attention to signs in a decay equation.
Step 2
Why this answer is correct
The correct answer is C. (10). From (165-12x=45), (12x=120) and (x=10). Pay attention to signs in a decay equation.
Step 3
Exam Tip
(165-12x=45) से (12x=120) और (x=10) है। क्षय समीकरण में चिन्ह का ध्यान रखें।
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यदि (y=5x+60), तो (x) (4) से (14) तक बढ़ने पर (y) में क्या होगा?
If (y=5x+60), what happens to (y) when (x) increases from (4) to (14)?
#linear_growth
#total_change
#interval
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A (40) बढ़ेगा / It increases by (40)
B (50) बढ़ेगा / It increases by (50)
C (60) बढ़ेगा / It increases by (60)
D (70) घटेगा / It decreases by (70)
Explanation opens after your attempt
Correct Answer
B. (50) बढ़ेगा / It increases by (50)
Step 1
Concept
The change in (x) is (10) and the rate is (5). So (y) increases by (50).
Step 2
Why this answer is correct
The correct answer is B. (50) बढ़ेगा / It increases by (50). The change in (x) is (10) and the rate is (5). So (y) increases by (50).
Step 3
Exam Tip
(x) में परिवर्तन (10) है और दर (5) है। इसलिए (y) (50) बढ़ेगा।
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यदि (y=240-11x), तो (x) (3) से (13) तक बढ़ने पर (y) में क्या होगा?
If (y=240-11x), what happens to (y) when (x) increases from (3) to (13)?
#linear_decay
#total_change
#interval
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A (55) घटेगा / It decreases by (55)
B (99) घटेगा / It decreases by (99)
C (110) घटेगा / It decreases by (110)
D (143) बढ़ेगा / It increases by (143)
Explanation opens after your attempt
Correct Answer
C. (110) घटेगा / It decreases by (110)
Step 1
Concept
The change in (x) is (10) and the decay rate is (11). So (y) decreases by (110).
Step 2
Why this answer is correct
The correct answer is C. (110) घटेगा / It decreases by (110). The change in (x) is (10) and the decay rate is (11). So (y) decreases by (110).
Step 3
Exam Tip
(x) में परिवर्तन (10) है और कमी दर (11) है। इसलिए (y) (110) घटेगा।
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यदि (F(t)=26+rt) और (F(4)=58), तो (F(9)) क्या है?
If (F(t)=26+rt) and (F(4)=58), what is (F(9))?
#linear_growth
#find_rate
#two_step
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A (82)
B (90)
C (98)
D (106)
Explanation opens after your attempt
Step 1
Concept
From (26+4r=58), (r=8). Therefore (F(9)=26+72=98).
Step 2
Why this answer is correct
The correct answer is C. (98). From (26+4r=58), (r=8). Therefore (F(9)=26+72=98).
Step 3
Exam Tip
(26+4r=58) से (r=8) है। इसलिए (F(9)=26+72=98) है।
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यदि (G(t)=q-7t) और (G(3)=99), तो (G(10)) क्या है?
If (G(t)=q-7t) and (G(3)=99), what is (G(10))?
#linear_decay
#find_initial
#two_step
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A (43)
B (50)
C (57)
D (64)
Explanation opens after your attempt
Step 1
Concept
From (q-21=99), (q=120). Therefore (G(10)=120-70=50).
Step 2
Why this answer is correct
The correct answer is B. (50). From (q-21=99), (q=120). Therefore (G(10)=120-70=50).
Step 3
Exam Tip
(q-21=99) से (q=120) है। इसलिए (G(10)=120-70=50) है।
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यदि (y=44+10x), तो (x=2) से (x=7) तक (y) में कुल वृद्धि कितनी होगी?
If (y=44+10x), what will be the total increase in (y) from (x=2) to (x=7)?
#linear_growth
#total_increase
#rate
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A (40)
B (50)
C (60)
D (70)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (7-2=5) and the growth rate is (10). Therefore the total increase is \(10\times5=50\).
Step 2
Why this answer is correct
The correct answer is B. (50). The change in (x) is (7-2=5) and the growth rate is (10). Therefore the total increase is \(10\times5=50\).
Step 3
Exam Tip
(x) में परिवर्तन (7-2=5) है और वृद्धि दर (10) है। इसलिए कुल वृद्धि \(10\times5=50\) है।
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यदि (y=220-13x), तो (x=4) से (x=9) तक (y) में कुल कमी कितनी होगी?
If (y=220-13x), what will be the total decrease in (y) from (x=4) to (x=9)?
#linear_decay
#total_decrease
#rate
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A (52)
B (65)
C (78)
D (91)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (9-4=5) and the decay rate is (13). Therefore the total decrease is \(13\times5=65\).
Step 2
Why this answer is correct
The correct answer is B. (65). The change in (x) is (9-4=5) and the decay rate is (13). Therefore the total decrease is \(13\times5=65\).
Step 3
Exam Tip
(x) में परिवर्तन (9-4=5) है और कमी दर (13) है। इसलिए कुल कमी \(13\times5=65\) है।
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