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UPSC Insta–DART (Daily Aptitude and Reasoning Test) 15 Sep 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 With reference to the above passage, the following assumptions have been made: I. An inclusive language policy can reduce feelings of marginalization among speakers of regional languages. II. The decline of regional languages is inevitable in a globalized economy. 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 links exclusion to the dominance of English and Hindi, implying that an inclusive policy could reduce marginalization. Assumption II is invalid: The passage never claims decline is “inevitable”; it instead emphasizes the risk of erosion if balance is not maintained. Hence, inevitability is an exaggeration beyond the text. Therefore, only Assumption I is valid, making option (a) correct. Incorrect Answer: (a) Explanation: Assumption I is valid: The passage clearly links exclusion to the dominance of English and Hindi, implying that an inclusive policy could reduce marginalization. Assumption II is invalid: The passage never claims decline is “inevitable”; it instead emphasizes the risk of erosion if balance is not maintained. Hence, inevitability is an exaggeration beyond the text. Therefore, only Assumption I is valid, making option (a) correct.

#### 1. Question

With reference to the above passage, the following assumptions have been made: I. An inclusive language policy can reduce feelings of marginalization among speakers of regional languages. II. The decline of regional languages is inevitable in a globalized economy.

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 links exclusion to the dominance of English and Hindi, implying that an inclusive policy could reduce marginalization. Assumption II is invalid: The passage never claims decline is “inevitable”; it instead emphasizes the risk of erosion if balance is not maintained. Hence, inevitability is an exaggeration beyond the text. Therefore, only Assumption I is valid, making option (a) correct.

Answer: (a)

Explanation: Assumption I is valid: The passage clearly links exclusion to the dominance of English and Hindi, implying that an inclusive policy could reduce marginalization. Assumption II is invalid: The passage never claims decline is “inevitable”; it instead emphasizes the risk of erosion if balance is not maintained. Hence, inevitability is an exaggeration beyond the text. Therefore, only Assumption I is valid, making option (a) correct.

• Question 2 of 5 2. Question Consider the following operations: A + B means A is the brother of B. A × B means A is the father of B. A − B means A is the sister of B. What does the expression P × Q − R mean? (a) P is the father of R (b) P is the brother of R (c) P is the uncle of R (d) Cannot be determined Correct Answer: (a) Solution: Given that, A × B ⇒ A is the father of B; A − B ⇒ A is the sister of B. Now, P × Q ⇒ P is the father of Q. Q − R ⇒ Q is the sister of R ⇒ Q and R are children of the same parents. Therefore, since P is father of Q and Q and R are siblings, P is also the father of R. Hence option (a) is correct. Incorrect Answer: (a) Solution: Given that, A × B ⇒ A is the father of B; A − B ⇒ A is the sister of B. Now, P × Q ⇒ P is the father of Q. Q − R ⇒ Q is the sister of R ⇒ Q and R are children of the same parents. Therefore, since P is father of Q and Q and R are siblings, P is also the father of R. Hence option (a) is correct.

#### 2. Question

Consider the following operations:

A + B means A is the brother of B. A × B means A is the father of B. A − B means A is the sister of B.

What does the expression P × Q − R mean?

• (a) P is the father of R

• (b) P is the brother of R

• (c) P is the uncle of R

• (d) Cannot be determined

Answer: (a)

Solution:

Given that,

A × B ⇒ A is the father of B; A − B ⇒ A is the sister of B.

P × Q ⇒ P is the father of Q.

Q − R ⇒ Q is the sister of R ⇒ Q and R are children of the same parents.

Therefore, since P is father of Q and Q and R are siblings, P is also the father of R.

Hence option (a) is correct.

Answer: (a)

Solution:

Given that,

A × B ⇒ A is the father of B; A − B ⇒ A is the sister of B.

P × Q ⇒ P is the father of Q.

Q − R ⇒ Q is the sister of R ⇒ Q and R are children of the same parents.

Therefore, since P is father of Q and Q and R are siblings, P is also the father of R.

Hence option (a) is correct.

• Question 3 of 5 3. Question If in a particular year 25th January is a Thursday, then which one of the following is correct? (a) 25th July is Thursday if the year is a leap year. (b) 25th July is Saturday if the year is not a leap year. (c) 25th July is Tuesday if the year is a leap year. (d) 25th July is Wednesday if the year is a leap year. Correct Answer: A Solution: Given that, 25th January is a Thursday. There are two possibilities: the year is a leap year or not a leap year. Possibility 1: Leap year Total number of days from 25th Jan to 25th Jul = (remaining Jan days + Feb + Mar + Apr + May + Jun + 25 Jul) = (6 + 29 + 31 + 30 + 31 + 30 + 25) = 182 = 26 weeks and 0 odd days. So, 25th July is Thursday. Possibility 2: Not a leap year Total number of days from 25th Jan to 25th Jul = (6 + 28 + 31 + 30 + 31 + 30 + 25) = 181 = 25 weeks and 6 odd days. So, 25th July is Thursday + 6 = Wednesday. Hence only statement (a) is correct. Incorrect Answer: A Solution: Given that, 25th January is a Thursday. There are two possibilities: the year is a leap year or not a leap year. Possibility 1: Leap year Total number of days from 25th Jan to 25th Jul = (remaining Jan days + Feb + Mar + Apr + May + Jun + 25 Jul) = (6 + 29 + 31 + 30 + 31 + 30 + 25) = 182 = 26 weeks and 0 odd days. So, 25th July is Thursday. Possibility 2: Not a leap year Total number of days from 25th Jan to 25th Jul = (6 + 28 + 31 + 30 + 31 + 30 + 25) = 181 = 25 weeks and 6 odd days. So, 25th July is Thursday + 6 = Wednesday. Hence only statement (a) is correct.

#### 3. Question

If in a particular year 25th January is a Thursday, then which one of the following is correct?

• (a) 25th July is Thursday if the year is a leap year.

• (b) 25th July is Saturday if the year is not a leap year.

• (c) 25th July is Tuesday if the year is a leap year.

• (d) 25th July is Wednesday if the year is a leap year.

Answer: A

Solution:

Given that,

25th January is a Thursday.

There are two possibilities: the year is a leap year or not a leap year.

Possibility 1: Leap year

Total number of days from 25th Jan to 25th Jul = (remaining Jan days + Feb + Mar + Apr + May + Jun + 25 Jul) = (6 + 29 + 31 + 30 + 31 + 30 + 25) = 182 = 26 weeks and 0 odd days.

So, 25th July is Thursday.

Possibility 2: Not a leap year

Total number of days from 25th Jan to 25th Jul = (6 + 28 + 31 + 30 + 31 + 30 + 25) = 181 = 25 weeks and 6 odd days.

So, 25th July is Thursday + 6 = Wednesday.

Hence only statement (a) is correct.

Answer: A

Solution:

Given that,

25th January is a Thursday.

There are two possibilities: the year is a leap year or not a leap year.

Possibility 1: Leap year

Total number of days from 25th Jan to 25th Jul = (remaining Jan days + Feb + Mar + Apr + May + Jun + 25 Jul) = (6 + 29 + 31 + 30 + 31 + 30 + 25) = 182 = 26 weeks and 0 odd days.

So, 25th July is Thursday.

Possibility 2: Not a leap year

Total number of days from 25th Jan to 25th Jul = (6 + 28 + 31 + 30 + 31 + 30 + 25) = 181 = 25 weeks and 6 odd days.

So, 25th July is Thursday + 6 = Wednesday.

Hence only statement (a) is correct.

• Question 4 of 5 4. Question P visits the club every 7th day; Q every 14th day; R every 21st day. If all three met on a Thursday, then on which day will they meet again? (a) Monday (b) Tuesday (c) Thursday (d) Saturday Correct Answer: C Solution: Given that, P visits the club on every 7th day. Q visits on every 14th day. R visits on every 21st day. They all meet on Thursday. Now, Taking LCM = 7, 14, 21 = 42 Thus all meet on the 42nd day. 1st meeting is on Thursday So, second meeting = 42/7 = 6 weeks and 0 odd days Thus second meeting is on Thursday + 0 odd days = Thursday Hence option (c) is correct Incorrect Answer: C Solution: Given that, P visits the club on every 7th day. Q visits on every 14th day. R visits on every 21st day. They all meet on Thursday. Now, Taking LCM = 7, 14, 21 = 42 Thus all meet on the 42nd day. 1st meeting is on Thursday So, second meeting = 42/7 = 6 weeks and 0 odd days Thus second meeting is on Thursday + 0 odd days = Thursday Hence option (c) is correct

#### 4. Question

P visits the club every 7th day; Q every 14th day; R every 21st day. If all three met on a Thursday, then on which day will they meet again?

• (a) Monday

• (b) Tuesday

• (c) Thursday

• (d) Saturday

Solution:

Given that,

P visits the club on every 7th day. Q visits on every 14th day. R visits on every 21st day. They all meet on Thursday.

Taking LCM = 7, 14, 21 = 42

Thus all meet on the 42nd day.

1st meeting is on Thursday

So, second meeting = 42/7 = 6 weeks and 0 odd days

Thus second meeting is on Thursday + 0 odd days = Thursday

Hence option (c) is correct

Solution:

Given that,

P visits the club on every 7th day. Q visits on every 14th day. R visits on every 21st day. They all meet on Thursday.

Taking LCM = 7, 14, 21 = 42

Thus all meet on the 42nd day.

1st meeting is on Thursday

So, second meeting = 42/7 = 6 weeks and 0 odd days

Thus second meeting is on Thursday + 0 odd days = Thursday

Hence option (c) is correct

• Question 5 of 5 5. Question P is 14th from the left end in a row of boys and Q is 19th from the right end. R is 7th from P towards the right and 6th from Q towards the left. How many boys are there in the row? (a) 43 (b) 44 (c) 45 (d) Insufficient data Correct Answer: C Solution: Given that, P is 14th from the left end Q is 19th from the right end R is 7th to the right of P and 6th to the left of Q Now, Position of R from the left = 14 + 7 = 21 Since R is 6th to the left of Q, position of Q from the left = 21 + 6 = 27 Total boys = position of Q from the left + position of Q from the right − 1 = 27 + 19 − 1 = 45 Hence option (c) is correct Incorrect Answer: C Solution: Given that, P is 14th from the left end Q is 19th from the right end R is 7th to the right of P and 6th to the left of Q Now, Position of R from the left = 14 + 7 = 21 Since R is 6th to the left of Q, position of Q from the left = 21 + 6 = 27 Total boys = position of Q from the left + position of Q from the right − 1 = 27 + 19 − 1 = 45 Hence option (c) is correct

#### 5. Question

P is 14th from the left end in a row of boys and Q is 19th from the right end. R is 7th from P towards the right and 6th from Q towards the left. How many boys are there in the row?

• (d) Insufficient data

Given that,

P is 14th from the left end Q is 19th from the right end R is 7th to the right of P and 6th to the left of Q

Position of R from the left = 14 + 7 = 21 Since R is 6th to the left of Q, position of Q from the left = 21 + 6 = 27 Total boys = position of Q from the left + position of Q from the right − 1 = 27 + 19 − 1 = 45

Hence option (c) is correct

Given that,

P is 14th from the left end Q is 19th from the right end R is 7th to the right of P and 6th to the left of Q

Position of R from the left = 14 + 7 = 21 Since R is 6th to the left of Q, position of Q from the left = 21 + 6 = 27 Total boys = position of Q from the left + position of Q from the right − 1 = 27 + 19 − 1 = 45

Hence option (c) is correct

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