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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.
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Question 1 of 5
1. Question
The mean of 1, 2, 2^2…. 2^31 lies in between
Correct
Answer :c
1+2+22+……+231 = 232-1
Hence, the average will be: (232-1)/32 = 227 – 1/25
which lies between 226 and 227
Hence the answer will be (c).
Incorrect
Answer :c
1+2+22+……+231 = 232-1
Hence, the average will be: (232-1)/32 = 227 – 1/25
which lies between 226 and 227
Hence the answer will be (c).
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Question 2 of 5
2. Question
xy is a number that is divided by ab where xy < ab and gives a result 0.xyxyxy… then ab equals
Correct
Answer (c)
The denominator 99 has the property that the decimals it gives rise to are of the form 0.xyxyxy. This question is based on this property of 99. Option c is correct.
Incorrect
Answer (c)
The denominator 99 has the property that the decimals it gives rise to are of the form 0.xyxyxy. This question is based on this property of 99. Option c is correct.
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Question 3 of 5
3. Question
A number xy is multiplied by another number ab and the result comes as pgr, where r = 2y, q = 2(x + y) and p = 2x where x, y <5, q# 0. The value of ab may be
Correct
Answer :
The value of b has to be 2 since, r= 2y. Hence, option d is the only choice.
Incorrect
Answer :
The value of b has to be 2 since, r= 2y. Hence, option d is the only choice.
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Question 4 of 5
4. Question
[x]denotes the greatest integer value just below x and {x} its fractional value. The sum of [x]3 and {x}2 is -7.91. Find x.
Correct
Answer : D
For [x]3+{x}2 to give -7.91,
[x]3 should give -8 (hence, [x] should be-2]
Further, {x}2 should be + 0.09
Both these conditions are satisfied by -1.7.
Hence option (d) is correct.
Incorrect
Answer : D
For [x]3+{x}2 to give -7.91,
[x]3 should give -8 (hence, [x] should be-2]
Further, {x}2 should be + 0.09
Both these conditions are satisfied by -1.7.
Hence option (d) is correct.
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Question 5 of 5
5. Question
165+215 is divisible by
Correct
Ans-d
-(2^4)^5+2^15
-2^15(2^5+1)
Hence (2^5+1) is divisible by 33
Incorrect
Ans-d
-(2^4)^5+2^15
-2^15(2^5+1)
Hence (2^5+1) is divisible by 33
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