Considering the alarming importance of CSAT in UPSC CSE Prelims exam and with enormous requests we received recently, InsightsIAS has started Daily CSAT Test to ensure students practice CSAT Questions on a daily basis. Regular Practice would help one overcome the fear of CSAT too.We are naming this initiative as Insta– DART – Daily Aptitude and Reasoning Test. We hope you will be able to use DART to hit bull’s eye in CSAT paper and comfortably score 100+ even in the most difficult question paper that UPSC can give you in CSP-2021. Your peace of mind after every step of this exam is very important for us.
Looking forward to your enthusiastic participation (both in sending us questions and solving them on daily basis on this portal).
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Question 1 of 5
1. Question
A is thrice as efficient as B. Together they can finish a work in 12 days. How long will B alone take to finish the same work?
Correct
Answer: (d)
Explanation:
Efficiency ratio A : B = 3 : 1.
So time ratio = 1 : 3.
Let B’s one-day work = 1 unit, then A’s = 3 units.
Together = 4 units per day.
If work is completed in 12 days → Total work = 12 × 4 = 48 units.
So, B alone takes = 48 ÷ 1 = 48 days.
Hence option (d) is correct.Incorrect
Answer: (d)
Explanation:
Efficiency ratio A : B = 3 : 1.
So time ratio = 1 : 3.
Let B’s one-day work = 1 unit, then A’s = 3 units.
Together = 4 units per day.
If work is completed in 12 days → Total work = 12 × 4 = 48 units.
So, B alone takes = 48 ÷ 1 = 48 days.
Hence option (d) is correct. -
Question 2 of 5
2. Question
A tank can be filled by a pipe in 12 hours and by another pipe in 18 hours. A third pipe can empty the tank in 36 hours. If all the three pipes are opened together, how much time will they take to fill the tank?
Correct
Answer: (a)
Explanation:
Work per hour:
Pipe 1 = 1/12, Pipe 2 = 1/18, Pipe 3 = –1/36 (since it empties).
Network/hour = 1/12 + 1/18 – 1/36.
Take LCM = 36 → (3 + 2 – 1)/36 = 4/36 = 1/9.
So, they fill 1/9 of tank per hour.
Therefore, total time = 9 hours.
Hence option (a) is correct.Incorrect
Answer: (a)
Explanation:
Work per hour:
Pipe 1 = 1/12, Pipe 2 = 1/18, Pipe 3 = –1/36 (since it empties).
Network/hour = 1/12 + 1/18 – 1/36.
Take LCM = 36 → (3 + 2 – 1)/36 = 4/36 = 1/9.
So, they fill 1/9 of tank per hour.
Therefore, total time = 9 hours.
Hence option (a) is correct. -
Question 3 of 5
3. Question
12 men and 24 women can finish a work in 10 days. The same work can be finished by 24 men and 12 women in 8 days. How long will 20 men and 8 women take?
Correct
Answer: (c)
Explanation:
Let 1 man’s 1 day’s work = x and 1 woman’s 1 day’s work = y.
Then,
12x + 24y = 1/10 …(I)
24x + 12y = 1/8 …(II)
Multiply (I) by 2: 24x + 48y = 1/5.
Subtract (II): (24x + 48y) − (24x + 12y) = 1/5 − 1/8 ⇒ 36y = (8−5)/40 = 3/40 ⇒ y = (3/40)/36 = 1/480.
Put y in (II): 24x + 12(1/480) = 1/8 ⇒ 24x + 1/40 = 1/8 ⇒ 24x = 1/8 − 1/40 = 1/10 ⇒ x = 1/240.
Now, (20 men + 8 women)’s 1 day’s work = 20/240 + 8/480 = 1/12 + 1/60 = 1/10.
Hence, time taken = 1 ÷ (1/10) = 10 days.Incorrect
Answer: (c)
Explanation:
Let 1 man’s 1 day’s work = x and 1 woman’s 1 day’s work = y.
Then,
12x + 24y = 1/10 …(I)
24x + 12y = 1/8 …(II)
Multiply (I) by 2: 24x + 48y = 1/5.
Subtract (II): (24x + 48y) − (24x + 12y) = 1/5 − 1/8 ⇒ 36y = (8−5)/40 = 3/40 ⇒ y = (3/40)/36 = 1/480.
Put y in (II): 24x + 12(1/480) = 1/8 ⇒ 24x + 1/40 = 1/8 ⇒ 24x = 1/8 − 1/40 = 1/10 ⇒ x = 1/240.
Now, (20 men + 8 women)’s 1 day’s work = 20/240 + 8/480 = 1/12 + 1/60 = 1/10.
Hence, time taken = 1 ÷ (1/10) = 10 days. -
Question 4 of 5
4. Question
A warehouse build needs 14 persons working 10 hours to complete. If 7 persons begin at 6:00 am, then the team increases to 14 persons from 10:00 am, to 20 persons from 1:00 pm, and finally to 30 persons from 3:00 pm, at what time will the work be completed?
Correct
Answer: (b)
Explanation:
Total work = 14 × 10 = 140 man-hours.
6–10 am: 7 × 4 h = 28 man-hours.
10 am–1 pm: 14 × 3 h = 42 man-hours.
1–3 pm: 20 × 2 h = 40 man-hours.
Subtotal by 3 pm = 28 + 42 + 40 = 110 man-hours.
Remaining = 140 − 110 = 30 man-hours.
From 3–4 pm: 30 persons × 1 h = 30 man-hours.
So, work finishes exactly at 4:00 pm. Hence, Option (b).Incorrect
Answer: (b)
Explanation:
Total work = 14 × 10 = 140 man-hours.
6–10 am: 7 × 4 h = 28 man-hours.
10 am–1 pm: 14 × 3 h = 42 man-hours.
1–3 pm: 20 × 2 h = 40 man-hours.
Subtotal by 3 pm = 28 + 42 + 40 = 110 man-hours.
Remaining = 140 − 110 = 30 man-hours.
From 3–4 pm: 30 persons × 1 h = 30 man-hours.
So, work finishes exactly at 4:00 pm. Hence, Option (b). -
Question 5 of 5
5. Question
A data migration runs for x days. After that, logs are processed for x hours and dashboards are built for 12x minutes. What is the total time in hours?
Correct
Answer: (a)
Explanation:
Migration = x days = 24x hours
Log processing = x hours
Dashboards = 12x minutes = hours
Total = hours.Incorrect
Answer: (a)
Explanation:
Migration = x days = 24x hours
Log processing = x hours
Dashboards = 12x minutes = hours
Total = hours.
