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
Consider the Question and two Statements given below:
What is the present age of Riya?
Statement I: Riya’s mother is three times as old as Riya.
Statement II: After 6 years, the ratio of their ages will be 5 : 2.Which one of the following is correct?
Correct
Answer: (c)
Explanation:
Let Riya’s present age = R and mother’s age = M.
From I: M = 3R
From II: (M + 6)/(R + 6) = 5/2
Substitute M = 3R:
2(3R + 6) = 5(R + 6)
6R + 12 = 5R + 30
R = 18
Hence, both statements together are sufficient.Incorrect
Answer: (c)
Explanation:
Let Riya’s present age = R and mother’s age = M.
From I: M = 3R
From II: (M + 6)/(R + 6) = 5/2
Substitute M = 3R:
2(3R + 6) = 5(R + 6)
6R + 12 = 5R + 30
R = 18
Hence, both statements together are sufficient. -
Question 2 of 5
2. Question
Three persons – A, B, and C – are wearing red or blue caps. Each can see the caps of the others but not their own.
Question: What is the colour of B’s cap?
Statements:
I. A says: “I see two blue caps.”
II. C says: “I see one red cap and one blue cap.”Which of the following is correct with respect to above statements?
Correct
Answer: (a)
Explanation:
From I: A sees B and C wearing blue caps.
So B’s cap is blue (and C’s cap is also blue).
Statement I alone is sufficient.
Hence, option (a) is correct.Incorrect
Answer: (a)
Explanation:
From I: A sees B and C wearing blue caps.
So B’s cap is blue (and C’s cap is also blue).
Statement I alone is sufficient.
Hence, option (a) is correct. -
Question 3 of 5
3. Question
Ravi’s father was 42 years old when Ravi was born. His mother is 6 years younger than his father. If Ravi has a brother who is 5 years younger than him, what will be the average age of the parents when the brother turns 15 years old?
Correct
Answer: (a)
Solution:
Let Ravi’s current age = x
Father’s age = x + 42
Mother’s age = x + 42 − 6 = x + 36
Brother’s age = x − 5Given: Brother’s age = 15
So, x − 5 = 15 ⇒ x = 20Father’s age = 20 + 42 = 62
Mother’s age = 20 + 36 = 56Average = (62 + 56)/2 = 118/2 = 59 years
Incorrect
Answer: (a)
Solution:
Let Ravi’s current age = x
Father’s age = x + 42
Mother’s age = x + 42 − 6 = x + 36
Brother’s age = x − 5Given: Brother’s age = 15
So, x − 5 = 15 ⇒ x = 20Father’s age = 20 + 42 = 62
Mother’s age = 20 + 36 = 56Average = (62 + 56)/2 = 118/2 = 59 years
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Question 4 of 5
4. Question
Two colleges, College A and College B, have the same number of students appearing for an exam. College A reports 22 failures per 100 students, whereas College B reports 16 failures per 100 students. However, when failures due to absenteeism are excluded, College A has 4 fewer failures per 100 students than College B.
Which of the following conclusions is best supported?
Correct
Answer: (b)
Explanation:
- Total failures: A = 22, B = 16 (A is higher).
- Excluding absenteeism-related failures: A becomes 4 lower than B.
- Therefore, absenteeism must be contributing more to total failures in College A than in College B.
Hence, option (b) is correct.
Incorrect
Answer: (b)
Explanation:
- Total failures: A = 22, B = 16 (A is higher).
- Excluding absenteeism-related failures: A becomes 4 lower than B.
- Therefore, absenteeism must be contributing more to total failures in College A than in College B.
Hence, option (b) is correct.
-
Question 5 of 5
5. Question
Swathi walks 2 km East and then turns in the South direction and walks 10 km. Again, she turns towards the East and walks 4 km. After this she turns towards the North and walks 18 km. How far is she from her starting point?
Correct
Answer: (b)
Explanation
The path followed by Swathi has been depicted below:
So, (AE)2 = (AF)2 + (EF)2
Or (AE)2 = (6)2 + (8)2 = 36 + 64 = 100
Or AE = √100 = 10 km Thus, Swathi is 10 km North-East from her starting point.
Incorrect
Answer: (b)
Explanation
The path followed by Swathi has been depicted below:
So, (AE)2 = (AF)2 + (EF)2
Or (AE)2 = (6)2 + (8)2 = 36 + 64 = 100
Or AE = √100 = 10 km Thus, Swathi is 10 km North-East from her starting point.
