UPSC Insta–DART (Daily Aptitude and Reasoning Test) 27 Sep 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 With reference to the above passage, the following assumptions have been made: I. Reskilling and education are essential to ensure that AI benefits are widely shared. II. Technological change can be halted if societies decide collectively to oppose it. Which of the above assumptions is/are valid? (a) I only (b) II only (c) Both I and II (d) Neither I nor II Correct Answer: (a) Explanation: Assumption I is valid: The passage clearly states that reskilling and education are necessary to prepare workers and prevent inequality from widening. Assumption II is invalid: The author explicitly says “the real challenge lies not in stopping technological change but in preparing the workforce,” indicating that halting AI is unrealistic. Thus, only Assumption I is correct, making option (a) the right answer. Incorrect Answer: (a) Explanation: Assumption I is valid: The passage clearly states that reskilling and education are necessary to prepare workers and prevent inequality from widening. Assumption II is invalid: The author explicitly says “the real challenge lies not in stopping technological change but in preparing the workforce,” indicating that halting AI is unrealistic. Thus, only Assumption I is correct, making option (a) the right answer.

#### 1. Question

With reference to the above passage, the following assumptions have been made: I. Reskilling and education are essential to ensure that AI benefits are widely shared. II. Technological change can be halted if societies decide collectively to oppose it.

Which of the above assumptions is/are valid?

• (a) I only

• (b) II only

• (c) Both I and II

• (d) Neither I nor II

Answer: (a)

Explanation: Assumption I is valid: The passage clearly states that reskilling and education are necessary to prepare workers and prevent inequality from widening. Assumption II is invalid: The author explicitly says “the real challenge lies not in stopping technological change but in preparing the workforce,” indicating that halting AI is unrealistic. Thus, only Assumption I is correct, making option (a) the right answer.

Answer: (a)

• Question 2 of 5 2. Question The monthly incomes of X and Y are in the ratio of 7:5 and their monthly expenses are in the ratio of 5:3. However, each saves Rs. 4,000 per month. What is their total monthly income? (a) Rs. 18,000 (b) Rs. 20,000 (c) Rs. 22,000 (d) Rs. 24,000 Correct Answer: D Solution: Given that, The monthly incomes of X and Y are in the ratio of 7:5 and their monthly expenses are in the ratio of 5:3. Each saves Rs. 4,000 per month. Now, Let income be I and expenses be E Income = 7I : 5I Expenses = 5E : 3E 7I − 5E = 4000…..(i) 5I − 3E = 4000…..(ii) Subtract (i) − (ii): 2I − 2E = 0 ⇒ I = E From (ii): 5I − 3I = 4000 ⇒ 2I = 4000 ⇒ I = 2000 Therefore, income of X = 7 x 2000 = 14000 Income of Y = 5 x 2000 = 10000 Total income = 14000 + 10000 = 24000 Hence option (d) is correct Incorrect Answer: D Solution: Given that, The monthly incomes of X and Y are in the ratio of 7:5 and their monthly expenses are in the ratio of 5:3. Each saves Rs. 4,000 per month. Now, Let income be I and expenses be E Income = 7I : 5I Expenses = 5E : 3E 7I − 5E = 4000…..(i) 5I − 3E = 4000…..(ii) Subtract (i) − (ii): 2I − 2E = 0 ⇒ I = E From (ii): 5I − 3I = 4000 ⇒ 2I = 4000 ⇒ I = 2000 Therefore, income of X = 7 x 2000 = 14000 Income of Y = 5 x 2000 = 10000 Total income = 14000 + 10000 = 24000 Hence option (d) is correct

#### 2. Question

The monthly incomes of X and Y are in the ratio of 7:5 and their monthly expenses are in the ratio of 5:3. However, each saves Rs. 4,000 per month. What is their total monthly income?

• (a) Rs. 18,000

• (b) Rs. 20,000

• (c) Rs. 22,000

• (d) Rs. 24,000

Given that,

The monthly incomes of X and Y are in the ratio of 7:5 and their monthly expenses are in the ratio of 5:3. Each saves Rs. 4,000 per month.

Let income be I and expenses be E

Income = 7I : 5I Expenses = 5E : 3E

7I − 5E = 4000…..(i) 5I − 3E = 4000…..(ii)

Subtract (i) − (ii): 2I − 2E = 0 ⇒ I = E

From (ii): 5I − 3I = 4000 ⇒ 2I = 4000 ⇒ I = 2000

Therefore, income of X = 7 x 2000 = 14000 Income of Y = 5 x 2000 = 10000

Total income = 14000 + 10000 = 24000

Hence option (d) is correct

Given that,

The monthly incomes of X and Y are in the ratio of 7:5 and their monthly expenses are in the ratio of 5:3. Each saves Rs. 4,000 per month.

Let income be I and expenses be E

Income = 7I : 5I Expenses = 5E : 3E

7I − 5E = 4000…..(i) 5I − 3E = 4000…..(ii)

Subtract (i) − (ii): 2I − 2E = 0 ⇒ I = E

From (ii): 5I − 3I = 4000 ⇒ 2I = 4000 ⇒ I = 2000

Therefore, income of X = 7 x 2000 = 14000 Income of Y = 5 x 2000 = 10000

Total income = 14000 + 10000 = 24000

Hence option (d) is correct

• Question 3 of 5 3. Question A person X wants to distribute some pens among 6 children A, B, C, D, E and F. A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and seven times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number? (a) 2016 (b) 2030 (c) 2038 (d) 2040 Correct Answer: C Solution: Given that, A gets 2 times B, 3 times C, 4 times D, 5 times E and 7 times F. Now, Let A has P number of pens Then B = P/2, C = P/3, D = P/4, E = P/5, F = P/7 Each must be an even number So P must be a multiple of 4, 6, 8, 10 and 14 LCM of 4, 6, 8, 10 and 14 = 840 Take P = 840 (minimum) Then A = 840, B = 420, C = 280, D = 210, E = 168, F = 120 Total pens = 840 + 420 + 280 + 210 + 168 + 120 = 2038 Hence option (c) is correct Incorrect Answer: C Solution: Given that, A gets 2 times B, 3 times C, 4 times D, 5 times E and 7 times F. Now, Let A has P number of pens Then B = P/2, C = P/3, D = P/4, E = P/5, F = P/7 Each must be an even number So P must be a multiple of 4, 6, 8, 10 and 14 LCM of 4, 6, 8, 10 and 14 = 840 Take P = 840 (minimum) Then A = 840, B = 420, C = 280, D = 210, E = 168, F = 120 Total pens = 840 + 420 + 280 + 210 + 168 + 120 = 2038 Hence option (c) is correct

#### 3. Question

A person X wants to distribute some pens among 6 children A, B, C, D, E and F. A gets twice the number of pens received by B, three times that of C, four times that of D, five times that of E and seven times that of F. What is the minimum number of pens X should buy so that the number of pens each one gets is an even number?

Given that,

A gets 2 times B, 3 times C, 4 times D, 5 times E and 7 times F.

Let A has P number of pens

Then B = P/2, C = P/3, D = P/4, E = P/5, F = P/7

Each must be an even number

So P must be a multiple of 4, 6, 8, 10 and 14

LCM of 4, 6, 8, 10 and 14 = 840

Take P = 840 (minimum)

Then A = 840, B = 420, C = 280, D = 210, E = 168, F = 120

Total pens = 840 + 420 + 280 + 210 + 168 + 120 = 2038

Hence option (c) is correct

Given that,

A gets 2 times B, 3 times C, 4 times D, 5 times E and 7 times F.

Let A has P number of pens

Then B = P/2, C = P/3, D = P/4, E = P/5, F = P/7

Each must be an even number

So P must be a multiple of 4, 6, 8, 10 and 14

LCM of 4, 6, 8, 10 and 14 = 840

Take P = 840 (minimum)

Then A = 840, B = 420, C = 280, D = 210, E = 168, F = 120

Total pens = 840 + 420 + 280 + 210 + 168 + 120 = 2038

Hence option (c) is correct

• Question 4 of 5 4. Question X said to Y, “At the time of your birth I was three times as old as you are at present.” If the present age of X is 48 years, then consider the following statements: 8 years ago, the age of X was ten times the age of Y. After 24 years, the age of X would be two times the age of Y. Which of the above statements is/are correct? (a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2 Correct Answer: C Solution: Given that, X said to Y, “At the time of your birth I was three times as old as you are at present.” The present age of X is 48 years. Now, Let the present age of Y be a years. At Y’s birth, age of X = 48 − a. Given 48 − a = 3a ⇒ 48 = 4a ⇒ a = 12 years. 8 years ago: Y = 12 − 8 = 4 years; X = 48 − 8 = 40 years. 40 = 10 × 4, so statement 1 is correct. After 24 years: Y = 12 + 24 = 36 years; X = 48 + 24 = 72 years. 72 = 2 × 36, so statement 2 is correct. Hence option (c) is correct. Incorrect Answer: C Solution: Given that, X said to Y, “At the time of your birth I was three times as old as you are at present.” The present age of X is 48 years. Now, Let the present age of Y be a years. At Y’s birth, age of X = 48 − a. Given 48 − a = 3a ⇒ 48 = 4a ⇒ a = 12 years. 8 years ago: Y = 12 − 8 = 4 years; X = 48 − 8 = 40 years. 40 = 10 × 4, so statement 1 is correct. After 24 years: Y = 12 + 24 = 36 years; X = 48 + 24 = 72 years. 72 = 2 × 36, so statement 2 is correct. Hence option (c) is correct.

#### 4. Question

X said to Y, “At the time of your birth I was three times as old as you are at present.” If the present age of X is 48 years, then consider the following statements:

• 8 years ago, the age of X was ten times the age of Y.

• After 24 years, the age of X would be two times the age of Y.

Which of the above statements is/are correct?

• (a) 1 only

• (b) 2 only

• (c) Both 1 and 2

• (d) Neither 1 nor 2

Given that,

X said to Y, “At the time of your birth I was three times as old as you are at present.” The present age of X is 48 years.

Let the present age of Y be a years. At Y’s birth, age of X = 48 − a. Given 48 − a = 3a ⇒ 48 = 4a ⇒ a = 12 years.

• 8 years ago: Y = 12 − 8 = 4 years; X = 48 − 8 = 40 years. 40 = 10 × 4, so statement 1 is correct.

• After 24 years: Y = 12 + 24 = 36 years; X = 48 + 24 = 72 years. 72 = 2 × 36, so statement 2 is correct.

Hence option (c) is correct.

Given that,

X said to Y, “At the time of your birth I was three times as old as you are at present.” The present age of X is 48 years.

Let the present age of Y be a years. At Y’s birth, age of X = 48 − a. Given 48 − a = 3a ⇒ 48 = 4a ⇒ a = 12 years.

• 8 years ago: Y = 12 − 8 = 4 years; X = 48 − 8 = 40 years. 40 = 10 × 4, so statement 1 is correct.

• After 24 years: Y = 12 + 24 = 36 years; X = 48 + 24 = 72 years. 72 = 2 × 36, so statement 2 is correct.

Hence option (c) is correct.

• Question 5 of 5 5. Question If first and third Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year? (a) 22 (b) 23 (c) 24 (d) 25 Correct Answer: A Solution: Given that, First and third Saturdays and all Sundays are holidays. Now, To minimise working days, take a month with the fewest days and as many Sundays as possible. February (non-leap) has 28 days with 4 Sundays and 2 Saturday holidays (first and third). Number of working days = 28 − 2 − 4 = 22. February (leap) with 29 days and 5 Sundays gives 29 − 2 − 5 = 22 as well. So the minimum possible is 22. Hence option (a) is correct. Incorrect Answer: A Solution: Given that, First and third Saturdays and all Sundays are holidays. Now, To minimise working days, take a month with the fewest days and as many Sundays as possible. February (non-leap) has 28 days with 4 Sundays and 2 Saturday holidays (first and third). Number of working days = 28 − 2 − 4 = 22. February (leap) with 29 days and 5 Sundays gives 29 − 2 − 5 = 22 as well. So the minimum possible is 22. Hence option (a) is correct.

#### 5. Question

If first and third Saturdays and all the Sundays are taken as only holidays for an office, what would be the minimum number of possible working days of any month of any year?

Given that,

First and third Saturdays and all Sundays are holidays.

To minimise working days, take a month with the fewest days and as many Sundays as possible. February (non-leap) has 28 days with 4 Sundays and 2 Saturday holidays (first and third). Number of working days = 28 − 2 − 4 = 22. February (leap) with 29 days and 5 Sundays gives 29 − 2 − 5 = 22 as well. So the minimum possible is 22.

Hence option (a) is correct.

Given that,

First and third Saturdays and all Sundays are holidays.

Hence option (a) is correct.

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