UPSC Insta–DART (Daily Aptitude and Reasoning Test) 8 Jan 2026
Kartavya Desk Staff
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 Based on the passage, which of the following can be validly inferred? Excessive busyness can disconnect individuals from their own inner needs and desires. Periods of stillness help the mind process experience and renew creativity. A life filled with constant productivity is the most fulfilling form of living. Modern culture often undervalues reflection and contemplation. Select the correct answer using the code below: (a) 1 and 2 only (b) 1, 2, and 4 only (c) 2, 3, and 4 only (d) 1 and 4 only Correct Answer: (b) Explanation: Statement 1: Supported — the passage notes people become driven “more by deadlines than by desires,” indicating disconnection from inner needs. Statement 2: Supported — it says stillness “allows the mind to integrate experience… and rediscover purpose.” Statement 3: Incorrect — the passage explicitly states constant productivity can make life feel “hollow.” Statement 4: Supported — pauses are treated as “inefficiencies,” showing modern culture undervalues contemplation. Hence, the correct answer is (b). Incorrect Answer: (b) Explanation: Statement 1: Supported — the passage notes people become driven “more by deadlines than by desires,” indicating disconnection from inner needs. Statement 2: Supported — it says stillness “allows the mind to integrate experience… and rediscover purpose.” Statement 3: Incorrect — the passage explicitly states constant productivity can make life feel “hollow.” Statement 4: Supported — pauses are treated as “inefficiencies,” showing modern culture undervalues contemplation. Hence, the correct answer is (b).
#### 1. Question
Based on the passage, which of the following can be validly inferred?
• Excessive busyness can disconnect individuals from their own inner needs and desires.
• Periods of stillness help the mind process experience and renew creativity.
• A life filled with constant productivity is the most fulfilling form of living.
• Modern culture often undervalues reflection and contemplation.
Select the correct answer using the code below:
• (a) 1 and 2 only
• (b) 1, 2, and 4 only
• (c) 2, 3, and 4 only
• (d) 1 and 4 only
Answer: (b)
Explanation:
• Statement 1: Supported — the passage notes people become driven “more by deadlines than by desires,” indicating disconnection from inner needs.
• Statement 2: Supported — it says stillness “allows the mind to integrate experience… and rediscover purpose.”
• Statement 3: Incorrect — the passage explicitly states constant productivity can make life feel “hollow.”
• Statement 4: Supported — pauses are treated as “inefficiencies,” showing modern culture undervalues contemplation.
Hence, the correct answer is (b).
Answer: (b)
Explanation:
• Statement 1: Supported — the passage notes people become driven “more by deadlines than by desires,” indicating disconnection from inner needs.
• Statement 2: Supported — it says stillness “allows the mind to integrate experience… and rediscover purpose.”
• Statement 3: Incorrect — the passage explicitly states constant productivity can make life feel “hollow.”
• Statement 4: Supported — pauses are treated as “inefficiencies,” showing modern culture undervalues contemplation.
Hence, the correct answer is (b).
• Question 2 of 5 2. Question How many seconds are there in n years, n months (30 days each), n days, n hours, n minutes, n seconds? (a) 31626061n (b) 34,218,061 n (c) 31593661n (d) 31680061n Correct Answer: (b) Solution: Seconds in n years, n months (30 days each), n days, n hours, n minutes, n seconds: 1 year = 365 days → 31,536,000 seconds 1 month = 30 days → 2,592,000 seconds 1 day = 86,400 seconds 1 hour = 3,600 seconds 1 minute = 60 seconds Total seconds: Final Answer: 34,218,061 n seconds Incorrect Answer: (b) Solution: Seconds in n years, n months (30 days each), n days, n hours, n minutes, n seconds: 1 year = 365 days → 31,536,000 seconds 1 month = 30 days → 2,592,000 seconds 1 day = 86,400 seconds 1 hour = 3,600 seconds 1 minute = 60 seconds Total seconds: Final Answer: 34,218,061 n seconds
#### 2. Question
How many seconds are there in n years, n months (30 days each), n days, n hours, n minutes, n seconds?
• (a) 31626061n
• (b) 34,218,061 n
• (c) 31593661n
• (d) 31680061n
Answer: (b)
Solution:
Seconds in n years, n months (30 days each), n days, n hours, n minutes, n seconds:
1 year = 365 days → 31,536,000 seconds 1 month = 30 days → 2,592,000 seconds 1 day = 86,400 seconds 1 hour = 3,600 seconds 1 minute = 60 seconds
Total seconds:
Final Answer: 34,218,061 n seconds
Answer: (b)
Solution:
Seconds in n years, n months (30 days each), n days, n hours, n minutes, n seconds:
1 year = 365 days → 31,536,000 seconds 1 month = 30 days → 2,592,000 seconds 1 day = 86,400 seconds 1 hour = 3,600 seconds 1 minute = 60 seconds
Total seconds:
Final Answer: 34,218,061 n seconds
• Question 3 of 5 3. Question P and Q can complete a furniture-making order in 9 days and 18 days respectively. The contract amount is ₹9,900. They work together for 4 days and then R joins, who alone can finish the work in 27 days. What amount is paid to R? (a) ₹500 (b) ₹550 (c) ₹600 (d) ₹650 Correct Answer: (c) Explanation: Work in 1 day: P = 1/9, Q = 1/18, R = 1/27. P + Q in 1 day = 1/9 + 1/18 = (2 + 1)/18 = 3/18 = 1/6. In 4 days, work done = 4 × (1/6) = 4/6 = 2/3. Remaining work = 1 − 2/3 = 1/3. P + Q + R in 1 day = 1/9 + 1/18 + 1/27 LCM of 9, 18, 27 is 54. So = (6 + 3 + 2)/54 = 11/54. Time taken to finish remaining 1/3 work = (1/3) ÷ (11/54) = (1/3) × (54/11) = 18/11 days. R’s contribution = (1/27) × (18/11) = 18/297 = 2/33 of total work. R’s share of money = (2/33) × ₹9,900 = ₹600. Hence, option (c) is correct. Incorrect Answer: (c) Explanation: Work in 1 day: P = 1/9, Q = 1/18, R = 1/27. P + Q in 1 day = 1/9 + 1/18 = (2 + 1)/18 = 3/18 = 1/6. In 4 days, work done = 4 × (1/6) = 4/6 = 2/3. Remaining work = 1 − 2/3 = 1/3. P + Q + R in 1 day = 1/9 + 1/18 + 1/27 LCM of 9, 18, 27 is 54. So = (6 + 3 + 2)/54 = 11/54. Time taken to finish remaining 1/3 work = (1/3) ÷ (11/54) = (1/3) × (54/11) = 18/11 days. R’s contribution = (1/27) × (18/11) = 18/297 = 2/33 of total work. R’s share of money = (2/33) × ₹9,900 = ₹600. Hence, option (c) is correct.
#### 3. Question
P and Q can complete a furniture-making order in 9 days and 18 days respectively. The contract amount is ₹9,900. They work together for 4 days and then R joins, who alone can finish the work in 27 days. What amount is paid to R?
Answer: (c)
Explanation: Work in 1 day: P = 1/9, Q = 1/18, R = 1/27.
P + Q in 1 day = 1/9 + 1/18 = (2 + 1)/18 = 3/18 = 1/6.
In 4 days, work done = 4 × (1/6) = 4/6 = 2/3.
Remaining work = 1 − 2/3 = 1/3.
P + Q + R in 1 day = 1/9 + 1/18 + 1/27 LCM of 9, 18, 27 is 54. So = (6 + 3 + 2)/54 = 11/54.
Time taken to finish remaining 1/3 work = (1/3) ÷ (11/54) = (1/3) × (54/11) = 18/11 days.
R’s contribution = (1/27) × (18/11) = 18/297 = 2/33 of total work.
R’s share of money = (2/33) × ₹9,900 = ₹600.
Hence, option (c) is correct.
Answer: (c)
Explanation: Work in 1 day: P = 1/9, Q = 1/18, R = 1/27.
P + Q in 1 day = 1/9 + 1/18 = (2 + 1)/18 = 3/18 = 1/6.
In 4 days, work done = 4 × (1/6) = 4/6 = 2/3.
Remaining work = 1 − 2/3 = 1/3.
P + Q + R in 1 day = 1/9 + 1/18 + 1/27 LCM of 9, 18, 27 is 54. So = (6 + 3 + 2)/54 = 11/54.
Time taken to finish remaining 1/3 work = (1/3) ÷ (11/54) = (1/3) × (54/11) = 18/11 days.
R’s contribution = (1/27) × (18/11) = 18/297 = 2/33 of total work.
R’s share of money = (2/33) × ₹9,900 = ₹600.
Hence, option (c) is correct.
• Question 4 of 5 4. Question Two inlet pipes can fill a cistern in 12 hours and 18 hours respectively, while a third outlet pipe can empty it in 36 hours. If all three pipes are opened at the same time, how long will it take to fill the cistern? (a) 9 hours (b) 10 hours (c) 12 hours (d) 15 hours Correct Answer: (a) Explanation: Work done per hour: Pipe 1 = 1/12 Pipe 2 = 1/18 Pipe 3 (emptying) = –1/36 Net work/hour = 1/12 + 1/18 – 1/36 LCM of 12, 18, 36 = 36 → (3 + 2 – 1) / 36 = 4/36 = 1/9 So they fill 1/9 of the tank per hour. Therefore, total time = 9 hours. Hence, option (a) is correct. Incorrect Answer: (a) Explanation: Work done per hour: Pipe 1 = 1/12 Pipe 2 = 1/18 Pipe 3 (emptying) = –1/36 Net work/hour = 1/12 + 1/18 – 1/36 LCM of 12, 18, 36 = 36 → (3 + 2 – 1) / 36 = 4/36 = 1/9 So they fill 1/9 of the tank per hour. Therefore, total time = 9 hours. Hence, option (a) is correct.
#### 4. Question
Two inlet pipes can fill a cistern in 12 hours and 18 hours respectively, while a third outlet pipe can empty it in 36 hours. If all three pipes are opened at the same time, how long will it take to fill the cistern?
• (a) 9 hours
• (b) 10 hours
• (c) 12 hours
• (d) 15 hours
Answer: (a)
Explanation:
Work done per hour:
• Pipe 1 = 1/12
• Pipe 2 = 1/18
• Pipe 3 (emptying) = –1/36
Net work/hour = 1/12 + 1/18 – 1/36
LCM of 12, 18, 36 = 36 → (3 + 2 – 1) / 36 = 4/36 = 1/9
So they fill 1/9 of the tank per hour. Therefore, total time = 9 hours.
Hence, option (a) is correct.
Answer: (a)
Explanation:
Work done per hour:
• Pipe 1 = 1/12
• Pipe 2 = 1/18
• Pipe 3 (emptying) = –1/36
Net work/hour = 1/12 + 1/18 – 1/36
LCM of 12, 18, 36 = 36 → (3 + 2 – 1) / 36 = 4/36 = 1/9
So they fill 1/9 of the tank per hour. Therefore, total time = 9 hours.
Hence, option (a) is correct.
• Question 5 of 5 5. Question A hot water tap can fill a tank in 15 minutes and a cold-water tap can fill the same tank in 20 minutes. Both taps are opened together and after 4 minutes the hot water tap is closed. For how much more time will the cold-water tap alone have to run to fill the tank completely? (a) 8 minutes 40 seconds (b) 10 minutes 40 seconds (c) 9 minutes 30 seconds (d) 11 minutes Correct Answer: (b) Explanation: Hot water tap fills the tank in 15 minutes ⇒ In 1 minute, it fills of the tank. Cold water tap fills the tank in 20 minutes ⇒ In 1 minute, it fills of the tank. Work done by both taps together in 4 minutes = First find combined rate: So in 4 minutes: Remaining part of the tank = Now only the cold tap is open (rate = tank per minute). Time taken by cold tap to fill the remaining part: minute = 40 seconds. So total time = 10 minutes 40 seconds. Hence, option (b) 10 minutes 40 seconds is correct. Incorrect Answer: (b) Explanation: Hot water tap fills the tank in 15 minutes ⇒ In 1 minute, it fills of the tank. Cold water tap fills the tank in 20 minutes ⇒ In 1 minute, it fills of the tank. Work done by both taps together in 4 minutes = First find combined rate: So in 4 minutes: Remaining part of the tank = Now only the cold tap is open (rate = tank per minute). Time taken by cold tap to fill the remaining part: minute = 40 seconds. So total time = 10 minutes 40 seconds. Hence, option (b) 10 minutes 40 seconds is correct.
#### 5. Question
A hot water tap can fill a tank in 15 minutes and a cold-water tap can fill the same tank in 20 minutes. Both taps are opened together and after 4 minutes the hot water tap is closed. For how much more time will the cold-water tap alone have to run to fill the tank completely?
• (a) 8 minutes 40 seconds
• (b) 10 minutes 40 seconds
• (c) 9 minutes 30 seconds
• (d) 11 minutes
Answer: (b)
Explanation: Hot water tap fills the tank in 15 minutes ⇒ In 1 minute, it fills of the tank.
Cold water tap fills the tank in 20 minutes ⇒ In 1 minute, it fills of the tank.
Work done by both taps together in 4 minutes =
First find combined rate:
So in 4 minutes:
Remaining part of the tank =
Now only the cold tap is open (rate = tank per minute).
Time taken by cold tap to fill the remaining part:
minute = 40 seconds. So total time = 10 minutes 40 seconds.
Hence, option (b) 10 minutes 40 seconds is correct.
Answer: (b)
Explanation: Hot water tap fills the tank in 15 minutes ⇒ In 1 minute, it fills of the tank.
Cold water tap fills the tank in 20 minutes ⇒ In 1 minute, it fills of the tank.
Work done by both taps together in 4 minutes =
First find combined rate:
So in 4 minutes:
Remaining part of the tank =
Now only the cold tap is open (rate = tank per minute).
Time taken by cold tap to fill the remaining part:
minute = 40 seconds. So total time = 10 minutes 40 seconds.
Hence, option (b) 10 minutes 40 seconds is correct.
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