UPSC Insta–DART (Daily Aptitude and Reasoning Test) 19 Aug 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 A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question: What is the unique value of a natural number n? Statement I: n² = 49 Statement II: n is an odd number Which one of the following is correct in respect of the above Question and the Statements? a) Either Statement alone is sufficient b) Statement I alone is sufficient c) Statements I and II together are required d) Neither alone nor together are sufficient Correct Answer: B Explanation: Statement I: n² = 49 ⇒ n = ±7 But since n is a natural number, negative root not considered ⇒ n = 7 → So statement I alone is sufficient Statement II: n is odd ⇒ could be 1, 3, 5, 7, … ⇒ Not sufficient Answer: (b) Statement I alone is sufficient Incorrect Answer: B Explanation: Statement I: n² = 49 ⇒ n = ±7 But since n is a natural number, negative root not considered ⇒ n = 7 → So statement I alone is sufficient Statement II: n is odd ⇒ could be 1, 3, 5, 7, … ⇒ Not sufficient Answer: (b) Statement I alone is sufficient
#### 1. Question
A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question: What is the unique value of a natural number n?
Statement I: n² = 49 Statement II: n is an odd number
Which one of the following is correct in respect of the above Question and the Statements?
• a) Either Statement alone is sufficient
• b) Statement I alone is sufficient
• c) Statements I and II together are required
• d) Neither alone nor together are sufficient
Explanation:
• Statement I: n² = 49 ⇒ n = ±7 But since n is a natural number, negative root not considered ⇒ n = 7 → So statement I alone is sufficient
• Statement II: n is odd ⇒ could be 1, 3, 5, 7, … ⇒ Not sufficient
Answer: (b) Statement I alone is sufficient
Explanation:
• Statement I: n² = 49 ⇒ n = ±7 But since n is a natural number, negative root not considered ⇒ n = 7 → So statement I alone is sufficient
• Statement II: n is odd ⇒ could be 1, 3, 5, 7, … ⇒ Not sufficient
Answer: (b) Statement I alone is sufficient
• Question 2 of 5 2. Question A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question: What is the exact value of X, a natural number? Statement I: When X is increased by 25% and then decreased by 20%, the result is 60. Statement II: X is a multiple of 8. Which of the following is correct with respect to above statements? a) Statement I alone is sufficient b) Statement II alone is sufficient c) Both statements together are required d) Neither statement alone nor together is sufficient Correct Answer: A Explanation: From Statement I: Step-by-step: X increased by 25% ⇒ 1.25X Then decreased by 20% ⇒ 0.8 × 1.25X = 1.0X ⇒ Final result = X → Given: Result = 60 ⇒ So, X = 60 So Statement I alone is sufficient Statement II: X is a multiple of 8 ⇒ Many such numbers ⇒ Not sufficient alone Answer: (a) Statement I alone is sufficient Incorrect Answer: A Explanation: From Statement I: Step-by-step: X increased by 25% ⇒ 1.25X Then decreased by 20% ⇒ 0.8 × 1.25X = 1.0X ⇒ Final result = X → Given: Result = 60 ⇒ So, X = 60 So Statement I alone is sufficient Statement II: X is a multiple of 8 ⇒ Many such numbers ⇒ Not sufficient alone Answer: (a) Statement I alone is sufficient
#### 2. Question
A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question: What is the exact value of X, a natural number?
Statement I: When X is increased by 25% and then decreased by 20%, the result is 60. Statement II: X is a multiple of 8.
Which of the following is correct with respect to above statements?
• a) Statement I alone is sufficient
• b) Statement II alone is sufficient
• c) Both statements together are required
• d) Neither statement alone nor together is sufficient
Explanation:
From Statement I: Step-by-step:
• X increased by 25% ⇒ 1.25X
• Then decreased by 20% ⇒ 0.8 × 1.25X = 1.0X ⇒ Final result = X → Given: Result = 60 ⇒ So, X = 60
So Statement I alone is sufficient
Statement II: X is a multiple of 8 ⇒ Many such numbers ⇒ Not sufficient alone
Answer: (a) Statement I alone is sufficient
Explanation:
From Statement I: Step-by-step:
• X increased by 25% ⇒ 1.25X
• Then decreased by 20% ⇒ 0.8 × 1.25X = 1.0X ⇒ Final result = X → Given: Result = 60 ⇒ So, X = 60
So Statement I alone is sufficient
Statement II: X is a multiple of 8 ⇒ Many such numbers ⇒ Not sufficient alone
Answer: (a) Statement I alone is sufficient
• Question 3 of 5 3. Question Out of 8 candidates, 2 are eligible for the post of Director, and all 8 are eligible for the post of Manager. If 1 Director and 3 Managers are to be selected, in how many ways can this be done? (a) 30 (b) 40 (c) 60 (d) 70 Correct Answer: D Choose 1 Director from 2 → 2 ways Remaining = 7 candidates (excluding the Director) Choose 3 Managers from 7 → ⁷C₃ = 35 Total = 2 × 35 = 70 Incorrect Answer: D Choose 1 Director from 2 → 2 ways Remaining = 7 candidates (excluding the Director) Choose 3 Managers from 7 → ⁷C₃ = 35 Total = 2 × 35 = 70
#### 3. Question
Out of 8 candidates, 2 are eligible for the post of Director, and all 8 are eligible for the post of Manager. If 1 Director and 3 Managers are to be selected, in how many ways can this be done?
• Choose 1 Director from 2 → 2 ways
• Remaining = 7 candidates (excluding the Director)
• Choose 3 Managers from 7 → ⁷C₃ = 35
Total = 2 × 35 = 70
• Choose 1 Director from 2 → 2 ways
• Remaining = 7 candidates (excluding the Director)
• Choose 3 Managers from 7 → ⁷C₃ = 35
Total = 2 × 35 = 70
• Question 4 of 5 4. Question Let a and b be distinct positive integers such that ab=mab = mab=m and a<b. What is the smallest value of m for which the pair (a,b) is not uniquely determined? (a) 2 (b) 4 (c) 6 (d) 8 Correct Answer: C Solution: We want multiple (a, b) pairs with a < b such that ab=mab = mab=m Try values of m: m = 2: only (1,2) → unique m = 4: (1,4), (2,2) → but 2=2 → not distinct ⇒ only (1,4) ⇒ unique m = 6: (1,6), (2,3) → both satisfy a<b ⇒ Not unique Answer: (c) 6 Incorrect Answer: C Solution: We want multiple (a, b) pairs with a < b such that ab=mab = mab=m Try values of m: m = 2: only (1,2) → unique m = 4: (1,4), (2,2) → but 2=2 → not distinct ⇒ only (1,4) ⇒ unique m = 6: (1,6), (2,3) → both satisfy a<b ⇒ Not unique Answer: (c) 6
#### 4. Question
Let a and b be distinct positive integers such that ab=mab = mab=m and a<b. What is the smallest value of m for which the pair (a,b) is not uniquely determined?
Answer: C
Solution:
We want multiple (a, b) pairs with a < b such that ab=mab = mab=m
Try values of m:
• m = 2: only (1,2) → unique
• m = 4: (1,4), (2,2) → but 2=2 → not distinct ⇒ only (1,4) ⇒ unique
• m = 6: (1,6), (2,3) → both satisfy a<b ⇒ Not unique
Answer: (c) 6
Answer: C
Solution:
We want multiple (a, b) pairs with a < b such that ab=mab = mab=m
Try values of m:
• m = 2: only (1,2) → unique
• m = 4: (1,4), (2,2) → but 2=2 → not distinct ⇒ only (1,4) ⇒ unique
• m = 6: (1,6), (2,3) → both satisfy a<b ⇒ Not unique
Answer: (c) 6
• Question 5 of 5 5. Question Time is not merely a sequence of events measured by clocks; it is a lived experience, shaped by memory and perception. What we call the “present” is often colored by the past we carry and the future we anticipate. Memory gives continuity to the self, linking who we are now with who we were. Yet memory is selective, shaped as much by forgetting as by remembering. In this sense, identity is not fixed but fluid—a constant negotiation between what we retain, what we reshape, and what we let go. Philosophers have long argued that to understand oneself is not to retrieve a perfect record of the past, but to recognise how we interpret our experiences across time. Thus, human identity is not a stable possession but a dynamic unfolding. Which one of the following statements best reflects the most logical and rational message conveyed by the passage? (a) Memory is unreliable and therefore cannot form the basis of personal identity. (b) Human identity evolves through time as individuals reinterpret their experiences. (c) Identity is best preserved by remembering every detail of one’s life accurately. (d) Time and memory are external constructs that do not affect personal identity. Correct Answer:B Explanation: Option (a) is incorrect: While the passage acknowledges memory is selective, it doesn’t dismiss it as unreliable. Instead, it views memory as constructive and central to identity. Option (b) is correct: The passage directly states that identity is fluid and formed through how we reinterpret experiences across time. This best reflects the central idea. Option (c) is incorrect: The passage rejects the notion of perfect recall as necessary. It values interpretation, not preservation of every detail. Option (d) is incorrect: Time and memory are presented as deeply intertwined with our inner experience and identity—not external or irrelevant. Incorrect Answer:B Explanation: Option (a) is incorrect: While the passage acknowledges memory is selective, it doesn’t dismiss it as unreliable. Instead, it views memory as constructive and central to identity. Option (b) is correct: The passage directly states that identity is fluid and formed through how we reinterpret experiences across time. This best reflects the central idea. Option (c) is incorrect: The passage rejects the notion of perfect recall as necessary. It values interpretation, not preservation of every detail. Option (d) is incorrect: Time and memory are presented as deeply intertwined with our inner experience and identity—not external or irrelevant.
#### 5. Question
Time is not merely a sequence of events measured by clocks; it is a lived experience, shaped by memory and perception. What we call the “present” is often colored by the past we carry and the future we anticipate. Memory gives continuity to the self, linking who we are now with who we were. Yet memory is selective, shaped as much by forgetting as by remembering. In this sense, identity is not fixed but fluid—a constant negotiation between what we retain, what we reshape, and what we let go. Philosophers have long argued that to understand oneself is not to retrieve a perfect record of the past, but to recognise how we interpret our experiences across time. Thus, human identity is not a stable possession but a dynamic unfolding.
Which one of the following statements best reflects the most logical and rational message conveyed by the passage?
• (a) Memory is unreliable and therefore cannot form the basis of personal identity.
• (b) Human identity evolves through time as individuals reinterpret their experiences.
• (c) Identity is best preserved by remembering every detail of one’s life accurately.
• (d) Time and memory are external constructs that do not affect personal identity.
Answer:B
Explanation:
• Option (a) is incorrect: While the passage acknowledges memory is selective, it doesn’t dismiss it as unreliable. Instead, it views memory as constructive and central to identity.
• Option (b) is correct: The passage directly states that identity is fluid and formed through how we reinterpret experiences across time. This best reflects the central idea.
• Option (c) is incorrect: The passage rejects the notion of perfect recall as necessary. It values interpretation, not preservation of every detail.
• Option (d) is incorrect: Time and memory are presented as deeply intertwined with our inner experience and identity—not external or irrelevant.
Answer:B
Explanation:
• Option (a) is incorrect: While the passage acknowledges memory is selective, it doesn’t dismiss it as unreliable. Instead, it views memory as constructive and central to identity.
• Option (b) is correct: The passage directly states that identity is fluid and formed through how we reinterpret experiences across time. This best reflects the central idea.
• Option (c) is incorrect: The passage rejects the notion of perfect recall as necessary. It values interpretation, not preservation of every detail.
• Option (d) is incorrect: Time and memory are presented as deeply intertwined with our inner experience and identity—not external or irrelevant.
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