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Question 1 of 5
1. Question
Based on the above passage, the following assumptions have been made:
- Markets alone cannot guarantee equitable outcomes without regulatory intervention.
- State regulation and market mechanisms must coexist to balance efficiency with social justice.
Select the correct answer using the code given below:
Correct
Solution: (c)
Explanation:
• Statement 1 is valid: The passage highlights how markets fail to address inequality, public goods, and sustainability.
• Statement 2 is valid: The concluding line explicitly notes the tension between market faith and regulatory need, implying coexistence is necessary.
Thus, both assumptions logically follow, making (c) correct.Incorrect
Solution: (c)
Explanation:
• Statement 1 is valid: The passage highlights how markets fail to address inequality, public goods, and sustainability.
• Statement 2 is valid: The concluding line explicitly notes the tension between market faith and regulatory need, implying coexistence is necessary.
Thus, both assumptions logically follow, making (c) correct. -
Question 2 of 5
2. Question
If 12 men and 16 boys can finish a work in 5 days, while 25 men and 50 boys can finish it in 2 days, then the time taken by 15 men and 20 boys will be:
Correct
Answer – B
Solution: Given that,Let 1 man’s 1-day work = mmm and 1 boy’s 1-day work = bbb.
(12m + 16b) × 5 = 1 ⇒ 12m + 16b = 1/5 …(i)
(25m + 50b) × 2 = 1 ⇒ 25m + 50b = 1/2 …(ii)From (i): 3m + 4b = 1/20 ⇒ m = 1/60 − (4/3)b
Substitute in (ii):
25(1/60 − 4b/3) + 50b = 1/2
5/12 − 100b/3 + 50b = 1/2
⇒ 5/12 + (−100/3 + 150/3)b = 1/2
⇒ 5/12 + (50/3)b = 1/2
⇒ (50/3)b = 1/2 − 5/12 = 1/12
⇒ b = 1/200Then 3m + 4(1/200) = 1/20 ⇒ 3m = 1/20 − 1/50 = 3/100 ⇒ m = 1/100
Now, (15m + 20b) = 15/100 + 20/200 = 0.25 = 1/4
Time taken = 1 ÷ (1/4) = 4 daysHence option (b) is correct
Incorrect
Answer – B
Solution: Given that,Let 1 man’s 1-day work = mmm and 1 boy’s 1-day work = bbb.
(12m + 16b) × 5 = 1 ⇒ 12m + 16b = 1/5 …(i)
(25m + 50b) × 2 = 1 ⇒ 25m + 50b = 1/2 …(ii)From (i): 3m + 4b = 1/20 ⇒ m = 1/60 − (4/3)b
Substitute in (ii):
25(1/60 − 4b/3) + 50b = 1/2
5/12 − 100b/3 + 50b = 1/2
⇒ 5/12 + (−100/3 + 150/3)b = 1/2
⇒ 5/12 + (50/3)b = 1/2
⇒ (50/3)b = 1/2 − 5/12 = 1/12
⇒ b = 1/200Then 3m + 4(1/200) = 1/20 ⇒ 3m = 1/20 − 1/50 = 3/100 ⇒ m = 1/100
Now, (15m + 20b) = 15/100 + 20/200 = 0.25 = 1/4
Time taken = 1 ÷ (1/4) = 4 daysHence option (b) is correct
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Question 3 of 5
3. Question
8 men can complete a work in 8 days and 16 boys take 16 days to complete the work. How many days will 4 men and 16 boys take to complete the work?
Correct
Answer – C
Solution: Given,⇒ 8 men finish in 8 days ⇒ 1 man’s 1-day work = 1/(8×8) = 1/64
⇒ 16 boys finish in 16 days ⇒ 1 boy’s 1-day work = 1/(16×16) = 1/256(4 men + 16 boys)’s 1-day work = 4×(1/64) + 16×(1/256)
= 1/16 + 1/16 = 1/8Time taken = 1 ÷ (1/8) = 8 days
Hence option (c) 8 is correct
Incorrect
Answer – C
Solution: Given,⇒ 8 men finish in 8 days ⇒ 1 man’s 1-day work = 1/(8×8) = 1/64
⇒ 16 boys finish in 16 days ⇒ 1 boy’s 1-day work = 1/(16×16) = 1/256(4 men + 16 boys)’s 1-day work = 4×(1/64) + 16×(1/256)
= 1/16 + 1/16 = 1/8Time taken = 1 ÷ (1/8) = 8 days
Hence option (c) 8 is correct
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Question 4 of 5
4. Question
A certain number of men can complete a piece of work in 12k days. By what percent should the number of men be increased so that the work can be completed in 9k days?
Correct
Answer – C
Solution:Given that,
Work can be completed in 12k days.
Let number of men be M1 and M2
Days are D1 = 12k and D2 = 9k
M1 × D1 = M2 × D2
M1 × 12k = M2 × 9k
M2 = (M1 × 12k)/9k = (4/3)M1
% change = {(4/3)M1 − M1}/M1 × 100 = (1/3) × 100 = 33⅓%
Thus 33⅓% more men are required.
Hence option (c) is correct
Incorrect
Answer – C
Solution:Given that,
Work can be completed in 12k days.
Let number of men be M1 and M2
Days are D1 = 12k and D2 = 9k
M1 × D1 = M2 × D2
M1 × 12k = M2 × 9k
M2 = (M1 × 12k)/9k = (4/3)M1
% change = {(4/3)M1 − M1}/M1 × 100 = (1/3) × 100 = 33⅓%
Thus 33⅓% more men are required.
Hence option (c) is correct
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Question 5 of 5
5. Question
If a runner moves at 12 km/hr instead of 8 km/hr, he would have covered 20 km more. The actual distance covered by him is:
Correct
Answer – C
Solution:Given that,
At 12 km/hr instead of 8 km/hr, extra distance = 20 km.
Let the common time be t hours.
12t = 8t + 20 ⇒ 4t = 20 ⇒ t = 5 hours
Actual distance = 8 × t = 8 × 5 = 40 km
Hence option (c) is correct
Incorrect
Answer – C
Solution:Given that,
At 12 km/hr instead of 8 km/hr, extra distance = 20 km.
Let the common time be t hours.
12t = 8t + 20 ⇒ 4t = 20 ⇒ t = 5 hours
Actual distance = 8 × t = 8 × 5 = 40 km
Hence option (c) is correct








