UPSC Insta–DART (Daily Aptitude and Reasoning Test) 21 Oct 2025

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 In a class test, the average mark of 60 students was found to be 52. Later, the marks of one student were found wrongly entered as 83 instead of 38. What is the correct average mark? (a) 51.25 (b) 51.5 (c) 51.75 (d) 52.25 Correct Answer : (a) Explanation : Total according to wrong data = 60 × 52 = 3120 Error = 83 – 38 = 45 Correct total = 3120 – 45 = 3075 Correct average = 3075 ÷ 60 = 51.25 So, correct answer is (a). Incorrect Answer : (a) Explanation : Total according to wrong data = 60 × 52 = 3120 Error = 83 – 38 = 45 Correct total = 3120 – 45 = 3075 Correct average = 3075 ÷ 60 = 51.25 So, correct answer is (a).

#### 1. Question

In a class test, the average mark of 60 students was found to be 52. Later, the marks of one student were found wrongly entered as 83 instead of 38. What is the correct average mark?

Answer : (a) Explanation : Total according to wrong data = 60 × 52 = 3120 Error = 83 – 38 = 45 Correct total = 3120 – 45 = 3075 Correct average = 3075 ÷ 60 = 51.25 So, correct answer is (a).

• Question 2 of 5 2. Question The average price of 12 books is Rs. 13 while the average price of 10 of these books is Rs. 12. Of the remaining two books, if the price of one book is 25% more than the price of the other, what is the price of each of these two books? (a) Rs 12 and Rs 15 (b) Rs 16 and Rs 20 (c) Rs 14 and Rs 21 (d) Rs 18 and Rs 24 Correct Answer: (b) Explanation – Total price of the two books = Rs. [(13 × 12) – (12 × 10)] = Rs. (156 – 120) = Rs. 36 Let the cheaper book be Rs. x. Then the other = x + 25% of x = (5/4)x So, x + (5/4)x = 36 ⇒ (9/4)x = 36 ⇒ x = 16 Hence, the two prices are Rs. 16 and Rs. 20. Incorrect Answer: (b) Explanation – Total price of the two books = Rs. [(13 × 12) – (12 × 10)] = Rs. (156 – 120) = Rs. 36 Let the cheaper book be Rs. x. Then the other = x + 25% of x = (5/4)x So, x + (5/4)x = 36 ⇒ (9/4)x = 36 ⇒ x = 16 Hence, the two prices are Rs. 16 and Rs. 20.

#### 2. Question

The average price of 12 books is Rs. 13 while the average price of 10 of these books is Rs. 12. Of the remaining two books, if the price of one book is 25% more than the price of the other, what is the price of each of these two books?

• (a) Rs 12 and Rs 15

• (b) Rs 16 and Rs 20

• (c) Rs 14 and Rs 21

• (d) Rs 18 and Rs 24

Answer: (b) Explanation – Total price of the two books = Rs. [(13 × 12) – (12 × 10)] = Rs. (156 – 120) = Rs. 36 Let the cheaper book be Rs. x. Then the other = x + 25% of x = (5/4)x So, x + (5/4)x = 36 ⇒ (9/4)x = 36 ⇒ x = 16 Hence, the two prices are Rs. 16 and Rs. 20.

• Question 3 of 5 3. Question The average weight of 15 students is 60 kg. The average weight of 10 of them is 58 kg. If the remaining 5 students include one boy whose weight is 30% more than the average weight of the other 4, what is the weight of that boy? (a) 72 kg (b) 74.5 kg (c) 76 kg (d) 78.4 kg Correct Answer: (d) Explanation – Total weight of 15 = 15 × 60 = 900 Weight of 10 = 10 × 58 = 580 Remaining 5 = 320 Let 4 students = 4x, so boy = 1.3x Then total = 5.3x = 320 → x = 60.38 Boy = 1.38 × 60 = 78.49kg Incorrect Answer: (d) Explanation – Total weight of 15 = 15 × 60 = 900 Weight of 10 = 10 × 58 = 580 Remaining 5 = 320 Let 4 students = 4x, so boy = 1.3x Then total = 5.3x = 320 → x = 60.38 Boy = 1.38 × 60 = 78.49kg

#### 3. Question

The average weight of 15 students is 60 kg. The average weight of 10 of them is 58 kg. If the remaining 5 students include one boy whose weight is 30% more than the average weight of the other 4, what is the weight of that boy?

• (b) 74.5 kg

• (d) 78.4 kg

Answer: (d) Explanation – Total weight of 15 = 15 × 60 = 900 Weight of 10 = 10 × 58 = 580 Remaining 5 = 320

Let 4 students = 4x, so boy = 1.3x Then total = 5.3x = 320 → x = 60.38 Boy = 1.38 × 60 = 78.49kg

Answer: (d) Explanation – Total weight of 15 = 15 × 60 = 900 Weight of 10 = 10 × 58 = 580 Remaining 5 = 320

Let 4 students = 4x, so boy = 1.3x Then total = 5.3x = 320 → x = 60.38 Boy = 1.38 × 60 = 78.49kg

• Question 4 of 5 4. Question The Compound Interest on a certain sum for 2 years is Rs. 880, while the Simple Interest for the same time and rate is Rs. 800. If the same sum is invested such that SI is Rs. 1800 and the number of years is equal to the rate of interest per annum, find the rate. (a) 7% (b) 8% (c) 9% (d) 10% Correct Answer: (c) Explanation: CI – SI = 80 SI for 1 year = 400 So, interest on 400 = 80 → R = 20% Now, 1800 = (P × R × R)/100 1800 = (P × 20 × 20)/100 = (P × 400)/100 = 4P So, P = 450 Hence, R = 9% Incorrect Answer: (c) Explanation: CI – SI = 80 SI for 1 year = 400 So, interest on 400 = 80 → R = 20% Now, 1800 = (P × R × R)/100 1800 = (P × 20 × 20)/100 = (P × 400)/100 = 4P So, P = 450 Hence, R = 9%

#### 4. Question

The Compound Interest on a certain sum for 2 years is Rs. 880, while the Simple Interest for the same time and rate is Rs. 800. If the same sum is invested such that SI is Rs. 1800 and the number of years is equal to the rate of interest per annum, find the rate.

Answer: (c) Explanation: CI – SI = 80 SI for 1 year = 400 So, interest on 400 = 80 → R = 20% Now, 1800 = (P × R × R)/100 1800 = (P × 20 × 20)/100 = (P × 400)/100 = 4P So, P = 450 Hence, R = 9%

• Question 5 of 5 5. Question In a school competition, Riya solved 75% of the questions while Sita solved 60% of the questions. Consider the following statements. Statement – 1: Riya solved 25% more questions than Sita. Statement – 2: Sita solved 20% fewer questions than Riya. (a) Only 1 follows (b) Only 2 follows (c) Both 1 and 2 follow (d) Neither 1 nor 2 follows Correct Answer: (c) Solution Let total questions = 100. Riya solved 75, Sita solved 60. Difference = 15. Statement 1: (15/60) × 100 = 25%. So, Riya solved 25% more than Sita. Correct. Statement 2: (15/75) × 100 = 20%. So, Sita solved 20% fewer than Riya. Correct. Hence, option (c) is correct. Incorrect Answer: (c) Solution Let total questions = 100. Riya solved 75, Sita solved 60. Difference = 15. Statement 1: (15/60) × 100 = 25%. So, Riya solved 25% more than Sita. Correct. Statement 2: (15/75) × 100 = 20%. So, Sita solved 20% fewer than Riya. Correct. Hence, option (c) is correct.

#### 5. Question

In a school competition, Riya solved 75% of the questions while Sita solved 60% of the questions. Consider the following statements.

Statement – 1: Riya solved 25% more questions than Sita. Statement – 2: Sita solved 20% fewer questions than Riya.

• (a) Only 1 follows

• (b) Only 2 follows

• (c) Both 1 and 2 follow

• (d) Neither 1 nor 2 follows

Answer: (c) Solution Let total questions = 100. Riya solved 75, Sita solved 60.

Difference = 15.

Statement 1: (15/60) × 100 = 25%. So, Riya solved 25% more than Sita. Correct. Statement 2: (15/75) × 100 = 20%. So, Sita solved 20% fewer than Riya. Correct. Hence, option (c) is correct.

Answer: (c) Solution Let total questions = 100. Riya solved 75, Sita solved 60.

Difference = 15.

Statement 1: (15/60) × 100 = 25%. So, Riya solved 25% more than Sita. Correct. Statement 2: (15/75) × 100 = 20%. So, Sita solved 20% fewer than Riya. Correct. Hence, option (c) is correct.

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