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
In a class test, the average mark of 60 students was found to be 52. Later, the marks of one student were found wrongly entered as 83 instead of 38. What is the correct average mark?
Correct
Answer : (a)
Explanation :
Total according to wrong data = 60 × 52 = 3120
Error = 83 – 38 = 45
Correct total = 3120 – 45 = 3075
Correct average = 3075 ÷ 60 = 51.25
So, correct answer is (a).Incorrect
Answer : (a)
Explanation :
Total according to wrong data = 60 × 52 = 3120
Error = 83 – 38 = 45
Correct total = 3120 – 45 = 3075
Correct average = 3075 ÷ 60 = 51.25
So, correct answer is (a). -
Question 2 of 5
2. Question
The average price of 12 books is Rs. 13 while the average price of 10 of these books is Rs. 12. Of the remaining two books, if the price of one book is 25% more than the price of the other, what is the price of each of these two books?
Correct
Answer: (b)
Explanation –
Total price of the two books = Rs. [(13 × 12) – (12 × 10)] = Rs. (156 – 120) = Rs. 36
Let the cheaper book be Rs. x. Then the other = x + 25% of x = (5/4)x
So, x + (5/4)x = 36 ⇒ (9/4)x = 36 ⇒ x = 16
Hence, the two prices are Rs. 16 and Rs. 20.Incorrect
Answer: (b)
Explanation –
Total price of the two books = Rs. [(13 × 12) – (12 × 10)] = Rs. (156 – 120) = Rs. 36
Let the cheaper book be Rs. x. Then the other = x + 25% of x = (5/4)x
So, x + (5/4)x = 36 ⇒ (9/4)x = 36 ⇒ x = 16
Hence, the two prices are Rs. 16 and Rs. 20. -
Question 3 of 5
3. Question
The average weight of 15 students is 60 kg. The average weight of 10 of them is 58 kg. If the remaining 5 students include one boy whose weight is 30% more than the average weight of the other 4, what is the weight of that boy?
Correct
Answer: (d)
Explanation –
Total weight of 15 = 15 × 60 = 900
Weight of 10 = 10 × 58 = 580
Remaining 5 = 320Let 4 students = 4x, so boy = 1.3x
Then total = 5.3x = 320 → x = 60.38
Boy = 1.38 × 60 = 78.49kgIncorrect
Answer: (d)
Explanation –
Total weight of 15 = 15 × 60 = 900
Weight of 10 = 10 × 58 = 580
Remaining 5 = 320Let 4 students = 4x, so boy = 1.3x
Then total = 5.3x = 320 → x = 60.38
Boy = 1.38 × 60 = 78.49kg -
Question 4 of 5
4. Question
The Compound Interest on a certain sum for 2 years is Rs. 880, while the Simple Interest for the same time and rate is Rs. 800. If the same sum is invested such that SI is Rs. 1800 and the number of years is equal to the rate of interest per annum, find the rate.
Correct
Answer: (c)
Explanation:
CI – SI = 80
SI for 1 year = 400
So, interest on 400 = 80 → R = 20%
Now, 1800 = (P × R × R)/100
1800 = (P × 20 × 20)/100 = (P × 400)/100 = 4P
So, P = 450
Hence, R = 9%Incorrect
Answer: (c)
Explanation:
CI – SI = 80
SI for 1 year = 400
So, interest on 400 = 80 → R = 20%
Now, 1800 = (P × R × R)/100
1800 = (P × 20 × 20)/100 = (P × 400)/100 = 4P
So, P = 450
Hence, R = 9% -
Question 5 of 5
5. Question
In a school competition, Riya solved 75% of the questions while Sita solved 60% of the questions.
Consider the following statements.Statement – 1: Riya solved 25% more questions than Sita.
Statement – 2: Sita solved 20% fewer questions than Riya.Correct
Answer: (c)
Solution
Let total questions = 100.
Riya solved 75, Sita solved 60.Difference = 15.
Statement 1: (15/60) × 100 = 25%. So, Riya solved 25% more than Sita. Correct.
Statement 2: (15/75) × 100 = 20%. So, Sita solved 20% fewer than Riya. Correct.
Hence, option (c) is correct.Incorrect
Answer: (c)
Solution
Let total questions = 100.
Riya solved 75, Sita solved 60.Difference = 15.
Statement 1: (15/60) × 100 = 25%. So, Riya solved 25% more than Sita. Correct.
Statement 2: (15/75) × 100 = 20%. So, Sita solved 20% fewer than Riya. Correct.
Hence, option (c) is correct.
