UPSC Insta–DART (Daily Aptitude and Reasoning Test) 31 Oct 2025
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 There are 128 kg of sugar and 96 kg of jaggery. They are to be filled in bags of equal size so that each bag contains only one item. The bag capacity in kg is an integer. How many different bag sizes are possible? a) 5 b) 6 c) 7 d) 8 Correct Answer: B Explanation Bag size = common factor of 128 and 96. 128 = 2⁷ 96 = 2⁵ × 3 GCD = 2⁵ = 32. Factors of 32: 1, 2, 4, 8, 16, 32. Number of factors = 6 → hence 6 possible sizes. Incorrect Answer: B Explanation Bag size = common factor of 128 and 96. 128 = 2⁷ 96 = 2⁵ × 3 GCD = 2⁵ = 32. Factors of 32: 1, 2, 4, 8, 16, 32. Number of factors = 6 → hence 6 possible sizes.
#### 1. Question
There are 128 kg of sugar and 96 kg of jaggery. They are to be filled in bags of equal size so that each bag contains only one item. The bag capacity in kg is an integer. How many different bag sizes are possible?
Answer: B
Explanation
Bag size = common factor of 128 and 96.
128 = 2⁷ 96 = 2⁵ × 3
GCD = 2⁵ = 32. Factors of 32: 1, 2, 4, 8, 16, 32.
Number of factors = 6 → hence 6 possible sizes.
Answer: B
Explanation
Bag size = common factor of 128 and 96.
128 = 2⁷ 96 = 2⁵ × 3
GCD = 2⁵ = 32. Factors of 32: 1, 2, 4, 8, 16, 32.
Number of factors = 6 → hence 6 possible sizes.
• Question 2 of 5 2. Question It takes 18 persons a total of 9 hours to complete a project. If 12 persons start at 9:00 am, and two persons per hour are added beginning at 1:00 pm, at what time will the project be completed (equal efficiency)? a) 6:00 pm b) 6:30 pm c) 7:00 pm d) 7:30 pm Correct Answer: C Explanation Total work = 18 × 9 = 162 man‑hours. 9 am–1 pm: 12 persons × 4 h = 48. 1–2 pm: 14 → +14 = 62. 2–3 pm: 16 → +16 = 78. 3–4 pm: 18 → +18 = 96. 4–5 pm: 20 → +20 = 116. 5–6 pm: 22 → +22 = 138. 6–7 pm: 24 → +24 = 162. Work completes exactly at 7:00 pm. Hence, option c. Incorrect Answer: C Explanation Total work = 18 × 9 = 162 man‑hours. 9 am–1 pm: 12 persons × 4 h = 48. 1–2 pm: 14 → +14 = 62. 2–3 pm: 16 → +16 = 78. 3–4 pm: 18 → +18 = 96. 4–5 pm: 20 → +20 = 116. 5–6 pm: 22 → +22 = 138. 6–7 pm: 24 → +24 = 162. Work completes exactly at 7:00 pm. Hence, option c.
#### 2. Question
It takes 18 persons a total of 9 hours to complete a project. If 12 persons start at 9:00 am, and two persons per hour are added beginning at 1:00 pm, at what time will the project be completed (equal efficiency)?
• a) 6:00 pm
• b) 6:30 pm
• c) 7:00 pm
• d) 7:30 pm
Answer: C
Explanation
Total work = 18 × 9 = 162 man‑hours. 9 am–1 pm: 12 persons × 4 h = 48. 1–2 pm: 14 → +14 = 62. 2–3 pm: 16 → +16 = 78. 3–4 pm: 18 → +18 = 96. 4–5 pm: 20 → +20 = 116. 5–6 pm: 22 → +22 = 138. 6–7 pm: 24 → +24 = 162.
Work completes exactly at 7:00 pm. Hence, option c.
Answer: C
Explanation
Total work = 18 × 9 = 162 man‑hours. 9 am–1 pm: 12 persons × 4 h = 48. 1–2 pm: 14 → +14 = 62. 2–3 pm: 16 → +16 = 78. 3–4 pm: 18 → +18 = 96. 4–5 pm: 20 → +20 = 116. 5–6 pm: 22 → +22 = 138. 6–7 pm: 24 → +24 = 162.
Work completes exactly at 7:00 pm. Hence, option c.
• Question 3 of 5 3. Question In a family of eight members A, B, C, D, E, F, G, and H, there are three generations. A is the mother of C. B is the husband of A. F is the son of C. G is the daughter of D. H is the wife of F. E is the father of D. Who is B to G? Grandfather Father Uncle Select the correct answer using the code given below: (a) 1 only (b) 2 only (c) 3 only (d) 1 and 3 only Correct Answer: A Solution: From the information: A–B is a couple. Their children include C and D. F is child of C, H is wife of F. G is daughter of D. E is father of D, hence grandfather of G. Now B, being husband of A and father of D, becomes grandfather of G. Thus, B is only Grandfather to G. Hence the correct answer is (a) 1 only. Incorrect Answer: A Solution: From the information: A–B is a couple. Their children include C and D. F is child of C, H is wife of F. G is daughter of D. E is father of D, hence grandfather of G. Now B, being husband of A and father of D, becomes grandfather of G. Thus, B is only Grandfather to G. Hence the correct answer is (a) 1 only.
#### 3. Question
In a family of eight members A, B, C, D, E, F, G, and H, there are three generations. A is the mother of C. B is the husband of A. F is the son of C. G is the daughter of D. H is the wife of F. E is the father of D. Who is B to G?
• Grandfather
Select the correct answer using the code given below:
• (a) 1 only
• (b) 2 only
• (c) 3 only
• (d) 1 and 3 only
Answer: A
Solution: From the information: A–B is a couple. Their children include C and D. F is child of C, H is wife of F. G is daughter of D. E is father of D, hence grandfather of G. Now B, being husband of A and father of D, becomes grandfather of G. Thus, B is only Grandfather to G. Hence the correct answer is (a) 1 only.
Answer: A
Solution: From the information: A–B is a couple. Their children include C and D. F is child of C, H is wife of F. G is daughter of D. E is father of D, hence grandfather of G. Now B, being husband of A and father of D, becomes grandfather of G. Thus, B is only Grandfather to G. Hence the correct answer is (a) 1 only.
• Question 4 of 5 4. Question There are 5 members P, Q, R, S and T in a family. Question: What is the relation of T to Q? Statement-1: P and Q are a married couple. Statement-2: R is the father of P. Statement-3: T is the son of R. Statement-4: S is the daughter of Q. Which one of the following is correct in respect of the above Question and Statements? (a) Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question. (b) Statement-1, Statement-3 and Statement-4 are sufficient to answer the Question. (c) All four statements together are sufficient to answer the Question. (d) All four statements are not sufficient to answer the Question. Correct Answer: A Solution: Given that, From statement-1, P and Q are a married couple. From statement-2, R is the father of P. From statement-3, T is the son of R. So R is the father of P, hence T (son of R) is the brother of P. Since P and Q are married, T is the brother-in-law of Q. Statement-4 is not required. Hence Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question. Incorrect Answer: A Solution: Given that, From statement-1, P and Q are a married couple. From statement-2, R is the father of P. From statement-3, T is the son of R. So R is the father of P, hence T (son of R) is the brother of P. Since P and Q are married, T is the brother-in-law of Q. Statement-4 is not required. Hence Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question.
#### 4. Question
There are 5 members P, Q, R, S and T in a family.
Question: What is the relation of T to Q?
Statement-1: P and Q are a married couple. Statement-2: R is the father of P. Statement-3: T is the son of R. Statement-4: S is the daughter of Q.
Which one of the following is correct in respect of the above Question and Statements?
• (a) Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question.
• (b) Statement-1, Statement-3 and Statement-4 are sufficient to answer the Question.
• (c) All four statements together are sufficient to answer the Question.
• (d) All four statements are not sufficient to answer the Question.
Given that,
From statement-1, P and Q are a married couple. From statement-2, R is the father of P. From statement-3, T is the son of R.
So R is the father of P, hence T (son of R) is the brother of P. Since P and Q are married, T is the brother-in-law of Q. Statement-4 is not required.
Hence Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question.
Given that,
From statement-1, P and Q are a married couple. From statement-2, R is the father of P. From statement-3, T is the son of R.
So R is the father of P, hence T (son of R) is the brother of P. Since P and Q are married, T is the brother-in-law of Q. Statement-4 is not required.
Hence Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question.
• Question 5 of 5 5. Question A car leaves city X for city Y at 9 a.m. at 40 km/h. Another car leaves city X for city Y at 11 a.m. at 60 km/h. At what time will the second car overtake the first car, if the distance between X and Y is very large? (a) 3 p.m. (b) 1 p.m. (c) 5 p.m. (d) 2 p.m. Correct Answer: A Solution: In 2 hours (9 to 11), the first car covers = 40 × 2 = 80 km. Relative speed = 60 – 40 = 20 km/h. Time to cover 80 km = 80 ÷ 20 = 4 hours. So, second car overtakes at 11 + 4 = 3 p.m. Incorrect Answer: A Solution: In 2 hours (9 to 11), the first car covers = 40 × 2 = 80 km. Relative speed = 60 – 40 = 20 km/h. Time to cover 80 km = 80 ÷ 20 = 4 hours. So, second car overtakes at 11 + 4 = 3 p.m.
#### 5. Question
A car leaves city X for city Y at 9 a.m. at 40 km/h. Another car leaves city X for city Y at 11 a.m. at 60 km/h. At what time will the second car overtake the first car, if the distance between X and Y is very large?
• (a) 3 p.m.
• (b) 1 p.m.
• (c) 5 p.m.
• (d) 2 p.m.
Solution: In 2 hours (9 to 11), the first car covers = 40 × 2 = 80 km. Relative speed = 60 – 40 = 20 km/h. Time to cover 80 km = 80 ÷ 20 = 4 hours. So, second car overtakes at 11 + 4 = 3 p.m.
Solution: In 2 hours (9 to 11), the first car covers = 40 × 2 = 80 km. Relative speed = 60 – 40 = 20 km/h. Time to cover 80 km = 80 ÷ 20 = 4 hours. So, second car overtakes at 11 + 4 = 3 p.m.
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