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
Set A contains all the odd numbers between 101 and 151, both inclusive. Set B contains all the odd numbers between 221 and 271, both inclusive. What is the difference between the sum of the elements of set A and that of set B?
Correct
Answer: (d)
Set A: {101, 103, 105, …, 151} → Set of 26 consecutive positive odd numbers
Set B: {221, 223, 225, …, 271} → Set of 26 consecutive positive odd numbers
Difference between the 1st terms = 221 − 101 = 120, between 2nd terms also 120, and so on.
Each term in set B is 120 more than the corresponding term in set A.
So, total difference = 26 × 120 = 3120.
Hence option (d) is correct.Incorrect
Answer: (d)
Set A: {101, 103, 105, …, 151} → Set of 26 consecutive positive odd numbers
Set B: {221, 223, 225, …, 271} → Set of 26 consecutive positive odd numbers
Difference between the 1st terms = 221 − 101 = 120, between 2nd terms also 120, and so on.
Each term in set B is 120 more than the corresponding term in set A.
So, total difference = 26 × 120 = 3120.
Hence option (d) is correct. -
Question 2 of 5
2. Question
A student must respond to 10 of the 12 questions in an exam. It is required to answer 4 questions from section A and 5 questions from section B. If there are the same number of questions in both sections, in how many ways can the student attempt the paper?
Correct
Answer: (c)
Solution:
Given that,
Total questions = 12, student must answer = 10
Same number of questions in both sections
So section A = 6 questions and section B = 6 questionsIt is required to answer 4 from A and 5 from B, i.e. total = 9
So 1 more question must be answered from the remaining questionsNow,
Ways to choose 4 from A = 6C4 = 15
Ways to choose 5 from B = 6C5 = 6Remaining questions after this:
In A remaining = 6 − 4 = 2
In B remaining = 6 − 5 = 1
Total remaining = 3Ways to choose 1 more = 3C1 = 3
Total ways = 15 × 6 × 3 = 270
Hence, option (c) is correct.
Incorrect
Answer: (c)
Solution:
Given that,
Total questions = 12, student must answer = 10
Same number of questions in both sections
So section A = 6 questions and section B = 6 questionsIt is required to answer 4 from A and 5 from B, i.e. total = 9
So 1 more question must be answered from the remaining questionsNow,
Ways to choose 4 from A = 6C4 = 15
Ways to choose 5 from B = 6C5 = 6Remaining questions after this:
In A remaining = 6 − 4 = 2
In B remaining = 6 − 5 = 1
Total remaining = 3Ways to choose 1 more = 3C1 = 3
Total ways = 15 × 6 × 3 = 270
Hence, option (c) is correct.
-
Question 3 of 5
3. Question
What is the least number that should be added to the product 4*5*6*7
to make it a perfect square?Correct
Incorrect
-
Question 4 of 5
4. Question
A number becomes one-fourth of its original value when 15 is subtracted from it. What is three-fourths of that number?
Correct
Answer: (c)
Solution:
Given that,
Let the original number be x.
According to the question,
x − 15 = x/4
Now,
x − x/4 = 15
3x/4 = 15x = 20
Now,
Three-fourths of the number = 3/4 × 20 = 15
Hence, option (c) is correct.
Incorrect
Answer: (c)
Solution:
Given that,
Let the original number be x.
According to the question,
x − 15 = x/4
Now,
x − x/4 = 15
3x/4 = 15x = 20
Now,
Three-fourths of the number = 3/4 × 20 = 15
Hence, option (c) is correct.
-
Question 5 of 5
5. Question
The discourse on global energy transition often centers on the rapid substitution of fossil fuels with renewable technologies. While this technological shift is imperative for climate stability, it frequently overlooks the socio-economic dimensions specific to developing nations. In these economies, fossil fuel industries are not merely energy sources but deeply embedded socio-economic ecosystems providing livelihoods and fiscal stability. Consequently, a transition framework that prioritizes speed over equity risks exacerbating regional inequalities. Unlike the post-industrial transitions of the West, emerging economies must navigate decarbonization while simultaneously addressing energy poverty and industrialization imperatives.
Which one of the following statements best reflects the critical message of the passage?
Correct
Answer: (c) Explanation:
- Option (a) is incorrect: The passage argues for a nuanced approach (navigating decarbonization alongside development), not a complete delay of the transition.
- Option (b) is incorrect: The passage focuses on “socio-economic dimensions” and “livelihoods,” not a lack of technology.
- Option (c) is correct: The passage explicitly contrasts the “speed” of transition with “equity” and emphasizes that emerging economies must address “energy poverty and industrialization” while decarbonizing. This captures the central balance discussed.
- Option (d) is incorrect: This is an extreme interpretation. The passage acknowledges fossil fuels are “deeply embedded,” but suggests the framework of transition needs to be equitable, not that replacement is impossible.
Incorrect
Answer: (c) Explanation:
- Option (a) is incorrect: The passage argues for a nuanced approach (navigating decarbonization alongside development), not a complete delay of the transition.
- Option (b) is incorrect: The passage focuses on “socio-economic dimensions” and “livelihoods,” not a lack of technology.
- Option (c) is correct: The passage explicitly contrasts the “speed” of transition with “equity” and emphasizes that emerging economies must address “energy poverty and industrialization” while decarbonizing. This captures the central balance discussed.
- Option (d) is incorrect: This is an extreme interpretation. The passage acknowledges fossil fuels are “deeply embedded,” but suggests the framework of transition needs to be equitable, not that replacement is impossible.
