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 digits 2, 3, 4, 5, 6, and 7. Then, consider the following statements:
I. More than 800 four-digit numbers can be formed if repetition is allowed.
II. More than 800 four-digit numbers can be formed if repetition is not allowed.Which of the above statements is/are correct?
Correct
Answer: (a)
Solution:
I (repetition allowed): 6 choices for each of 4 places → 6⁴ = 1296 > 800 → True.
II (repetition not allowed): 6 × 5 × 4 × 3 = 360 < 800 → False.
Hence, (a) I only.Incorrect
Answer: (a)
Solution:
I (repetition allowed): 6 choices for each of 4 places → 6⁴ = 1296 > 800 → True.
II (repetition not allowed): 6 × 5 × 4 × 3 = 360 < 800 → False.
Hence, (a) I only. -
Question 2 of 5
2. Question
The average monthly income of all the employees in a firm is Rs. 6100. The average monthly income of male and female employees is Rs. 7000 and Rs. 4000 respectively. What is the percentage of male employees in the firm?
Correct
Answer: (b)
Solution:
Average of all = Rs. 6100
Male average = Rs. 7000
Female average = Rs. 4000Let total employees = 100.
Total salary = 100 × 6100 = Rs. 6.1 × 10⁵.Let number of males = M ⇒ females = 100 − M.
6.1 × 10⁵ = 7000M + 4000(100 − M)
6.1 × 10⁵ = 7000M + 4.0 × 10⁵ − 4000M
(6.1 − 4.0) × 10⁵ = (7000 − 4000)M
2.1 × 10⁵ = 3000M
M = 70Hence, percentage of male employees = 70%.
Therefore, option (b) is correct.Incorrect
Answer: (b)
Solution:
Average of all = Rs. 6100
Male average = Rs. 7000
Female average = Rs. 4000Let total employees = 100.
Total salary = 100 × 6100 = Rs. 6.1 × 10⁵.Let number of males = M ⇒ females = 100 − M.
6.1 × 10⁵ = 7000M + 4000(100 − M)
6.1 × 10⁵ = 7000M + 4.0 × 10⁵ − 4000M
(6.1 − 4.0) × 10⁵ = (7000 − 4000)M
2.1 × 10⁵ = 3000M
M = 70Hence, percentage of male employees = 70%.
Therefore, option (b) is correct. -
Question 3 of 5
3. Question
A, B and C invest respectively ₹9,000 for 12 months, ₹12,000 for 9 months, and ₹15,000 for 6 months. C is the working partner and takes 8% of the profit as commission. If the total profit is ₹17,000, what is C’s share (including commission)?
Correct
Answer: (c)
Solution:
Capital–months:
A = 9,000×12 = 108,000; B = 12,000×9 = 108,000; C = 15,000×6 = 90,000
Ratio A : B : C = 108,000 : 108,000 : 90,000 = 6 : 6 : 5 (sum = 17)Commission to C = 8% of 17,000 = ₹1,360
Balance for division = 17,000 − 1,360 = ₹15,640From balance, C’s part = (5/17)×15,640 = 5×920 = ₹4,600
Total C (with commission) = 4,600 + 1,360 = ₹5,960.Incorrect
Answer: (c)
Solution:
Capital–months:
A = 9,000×12 = 108,000; B = 12,000×9 = 108,000; C = 15,000×6 = 90,000
Ratio A : B : C = 108,000 : 108,000 : 90,000 = 6 : 6 : 5 (sum = 17)Commission to C = 8% of 17,000 = ₹1,360
Balance for division = 17,000 − 1,360 = ₹15,640From balance, C’s part = (5/17)×15,640 = 5×920 = ₹4,600
Total C (with commission) = 4,600 + 1,360 = ₹5,960. -
Question 4 of 5
4. Question
Sometimes we awaken from a dream only to realise that the waking world is itself another kind of dream—one shared by millions who agree to call it reality. In dreams, time bends, logic dissolves, and imagination rules; yet these very qualities often inspire art, discovery, and even scientific insight. Philosophers have long wondered whether the boundary between dreaming and waking is as firm as we suppose. If dreams can teach, warn, or reveal hidden truths, then perhaps they are not escapes from reality but windows into it. To understand ourselves fully, we may have to listen not only to what we see when awake but also to what our minds create when they are free from the weight of reason.
Which one of the following statements best reflects the critical message conveyed by the author of the passage?
Correct
Answer: (b)
Explanation:
Option (a) is incorrect: The passage values dreams as sources of insight, not as meaningless illusions.
Option (b) is correct: The author questions the boundary between waking and dreaming—“the waking world is itself another kind of dream… one shared by millions who agree to call it reality.” This shows that both realms are subjective and reflective of human perception.
Option (c) is incorrect: The text elevates dreams as “windows into reality,” assigning them profound significance.
Option (d) is incorrect: The passage celebrates imagination’s freedom rather than asserting rationality’s superiority.
Hence, option (b) captures the essence of the passage’s philosophical inquiry.Incorrect
Answer: (b)
Explanation:
Option (a) is incorrect: The passage values dreams as sources of insight, not as meaningless illusions.
Option (b) is correct: The author questions the boundary between waking and dreaming—“the waking world is itself another kind of dream… one shared by millions who agree to call it reality.” This shows that both realms are subjective and reflective of human perception.
Option (c) is incorrect: The text elevates dreams as “windows into reality,” assigning them profound significance.
Option (d) is incorrect: The passage celebrates imagination’s freedom rather than asserting rationality’s superiority.
Hence, option (b) captures the essence of the passage’s philosophical inquiry. -
Question 5 of 5
5. Question
With reference to the above passage, the following assumptions have been made:
I. Our perception of reality is shaped by collective agreement as much as by objective truth.
II. Dreams may hold insights that reason alone cannot uncover.Which of the above assumptions is/are valid?
Correct
Answer: (c)
Explanation:
Assumption I is correct: The line “a dream shared by millions who agree to call it reality” implies that reality is partly a social consensus, not purely objective.
Assumption II is correct: The author calls dreams “windows into reality” and suggests they can “teach, warn, or reveal hidden truths,” which directly supports this assumption.
Therefore, both assumptions are valid, making option (c) the correct answer.Incorrect
Answer: (c)
Explanation:
Assumption I is correct: The line “a dream shared by millions who agree to call it reality” implies that reality is partly a social consensus, not purely objective.
Assumption II is correct: The author calls dreams “windows into reality” and suggests they can “teach, warn, or reveal hidden truths,” which directly supports this assumption.
Therefore, both assumptions are valid, making option (c) the correct answer.
