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
Two statements S1 and S2 are given below followed by a question:
S1: Ramu is half as old as Kanhaiya
S2: Ramu’s age is three-fifth of his mother’s age who is 45 years old.
Question: What is Ramu’s age?
Correct
Answer: Option (b)
Explanation:
From statement 2
Age of Ramu = 45 × 3/5 = 27 years. Hence the Statement 2 alone is sufficient to answer the question. Hence option (b) is correct answer.
Incorrect
Answer: Option (b)
Explanation:
From statement 2
Age of Ramu = 45 × 3/5 = 27 years. Hence the Statement 2 alone is sufficient to answer the question. Hence option (b) is correct answer.
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Question 2 of 5
2. Question
5 years ago, Ramana‘s age was one-fourth of his father‘s age. If his father‘s age was average of all even numbers from 1 to 102, then what is the present age of Ramana and his father?
Correct
Answer: Option (c)
Explanation:
Ramana’s father’s age was the average of all even numbers from 1 to 102.
Average of even numbers from 1 to 102 = (102 + 2)/2 = 51 + 1 = 52
So, 5 Years ago, Ramana’s father’s age = 52 years
Thus, Ramana’s age 5 years ago = 52/4 = 13
So, present age of Ramana = 13 + 5 = 18 years
And, Present age of Ramana’s father = 52 + 5 = 57 years
Hence, option (c) is the correct answer.
Incorrect
Answer: Option (c)
Explanation:
Ramana’s father’s age was the average of all even numbers from 1 to 102.
Average of even numbers from 1 to 102 = (102 + 2)/2 = 51 + 1 = 52
So, 5 Years ago, Ramana’s father’s age = 52 years
Thus, Ramana’s age 5 years ago = 52/4 = 13
So, present age of Ramana = 13 + 5 = 18 years
And, Present age of Ramana’s father = 52 + 5 = 57 years
Hence, option (c) is the correct answer.
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Question 3 of 5
3. Question
Two statements S1 and S2 are given below followed by a Question
The average age of four friends Tukaram, Pandurang, Dharma and Rakshit is 30 years.
S1. Sum of the ages of Tukaram and Dharma is 60 years.
S2. Rakshit is 10 years younger than Dharma.
Question: How old is Dharma?
Correct
Solution: Option (d)
Explanation:
Tukaram + Pandurang + Dharma + Rakshit = 30 × 4 = 120 …. (i)
From S1,
Tukaram + Dharma = 60 years …. (ii)
From S2,
Dharma – Rakshit = 10 years …. (iii)
From (i), (ii) and (iii) we cannot find the age of Dharma. Hence, option (d) is the correct answer.
Incorrect
Solution: Option (d)
Explanation:
Tukaram + Pandurang + Dharma + Rakshit = 30 × 4 = 120 …. (i)
From S1,
Tukaram + Dharma = 60 years …. (ii)
From S2,
Dharma – Rakshit = 10 years …. (iii)
From (i), (ii) and (iii) we cannot find the age of Dharma. Hence, option (d) is the correct answer.
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Question 4 of 5
4. Question
Four years ago, the average age of four friends was 21 years. Now, with a fifth friend joining the group, their average has become 24 years. What is the present age of the new friend?
Correct
Solution: Option (a)
Explanation:
Present average age of 4 friends = 21 + 4 = 25 years.
Let the age of new friend = x
4*25 + x = 5*24
x = 24*5 – 25*4 = 20 years Hence option (a) is correct answer.
Incorrect
Solution: Option (a)
Explanation:
Present average age of 4 friends = 21 + 4 = 25 years.
Let the age of new friend = x
4*25 + x = 5*24
x = 24*5 – 25*4 = 20 years Hence option (a) is correct answer.
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Question 5 of 5
5. Question
Consider the two statements and the question:
Statement 1: The average age of A, B and D is 20 years
Statement 2: The average age of C and D is 25 years.
Question: The total of the present ages of A, B, C and D is 96 years. What is B’s present age?
Which of the above statement/s is/are needed to answer the question?
Correct
Solution: Option (d)
Explanation:
We can calculate the age of C by statement-1
96 – (20×3) = 36 ….. (1)
We can calculate the age of D using statements 1 and 2.
D = 50 – 36 = 14 ….. (2)
But there is no information to find the ages of A and B separately.
So, the question cannot be answered using statements 1 and 2. So, correct answer is option (d).
Incorrect
Solution: Option (d)
Explanation:
We can calculate the age of C by statement-1
96 – (20×3) = 36 ….. (1)
We can calculate the age of D using statements 1 and 2.
D = 50 – 36 = 14 ….. (2)
But there is no information to find the ages of A and B separately.
So, the question cannot be answered using statements 1 and 2. So, correct answer is option (d).