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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).
Wish you all the best ! 🙂
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Question 1 of 5
1. Question
A student on her first 4 tests received an average score of ‘m’ marks. If student exceeds her previous average score by 20 marks on her fifth test, then what is the average score for the first 5 tests?
Correct
Correct Answer : D) m+4
Justification:
It is given that average of 4 tests is ‘m’ marks.
The total of 4 tests = 4m marks
Score in the fifth test = (m+20) marks
The total of 5 tests = 4m + (m + 20) = (5m + 20) marks
Average of 5 tests = (5m+20)/5 = (m + 4) marks
Incorrect
Correct Answer : D) m+4
Justification:
It is given that average of 4 tests is ‘m’ marks.
The total of 4 tests = 4m marks
Score in the fifth test = (m+20) marks
The total of 5 tests = 4m + (m + 20) = (5m + 20) marks
Average of 5 tests = (5m+20)/5 = (m + 4) marks
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Question 2 of 5
2. Question
LCM of first 100 natural numbers is N. What is the LCM of first 105 natural numbers?
Correct
Answer B) N X 101 X 103
Solution:
N is the LCM of first 100 natural numbers.
Now 101 is a prime number, so 101 and N do not have any common factors. Hence their LCM = 101 X N
102= 2 X 51, since 2 < 100 and 51 < 100, 102 divides N
103 is a prime number, no common factors between 103 and N
104= 52 X 2; since 2 < 100 and 52 < 100, 105 divides N
105 = 21 X 5; since 5 < 100 and 21 < 100, 105 divides N
Hence, LCM of first 105 natural number is N X 101 X 103
Incorrect
Answer B) N X 101 X 103
Solution:
N is the LCM of first 100 natural numbers.
Now 101 is a prime number, so 101 and N do not have any common factors. Hence their LCM = 101 X N
102= 2 X 51, since 2 < 100 and 51 < 100, 102 divides N
103 is a prime number, no common factors between 103 and N
104= 52 X 2; since 2 < 100 and 52 < 100, 105 divides N
105 = 21 X 5; since 5 < 100 and 21 < 100, 105 divides N
Hence, LCM of first 105 natural number is N X 101 X 103
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Question 3 of 5
3. Question
How many times in a day, the hands of a clock are straight?
Correct
ANSWER C) 44
Solution:
In 12 hours, the hands coincide or are in opposite direction 22 times.
∴ In 24 hours, the hands coincide or are in opposite direction 44 times a day.
Incorrect
ANSWER C) 44
Solution:
In 12 hours, the hands coincide or are in opposite direction 22 times.
∴ In 24 hours, the hands coincide or are in opposite direction 44 times a day.
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Question 4 of 5
4. Question
A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :
Correct
Answer: B) 160
Explanation:
A : B : C = 7 : 8 : 11.
Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160.
Incorrect
Answer: B) 160
Explanation:
A : B : C = 7 : 8 : 11.
Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160.
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Question 5 of 5
5. Question
252 can be expressed as a product of primes as:
Correct
Answer: Option A) 2 x 2 x 3 x 3 x 7
Explanation:
Clearly, 252 = 2 x 2 x 3 x 3 x 7.
Incorrect
Answer: Option A) 2 x 2 x 3 x 3 x 7
Explanation:
Clearly, 252 = 2 x 2 x 3 x 3 x 7.
