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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 sum of two numbers is 20 and their geometric mean is 20% lower than their arithmetic mean. Find the ratio of the numbers.
Correct
Ansa
If we assume the numbers as 16 and 4 based on 4:1 ,in option a), the AM would be 10 and the GM= 8 a difference of 20% as stipulated in the question. Option (a) is correct.
Incorrect
Ansa
If we assume the numbers as 16 and 4 based on 4:1 ,in option a), the AM would be 10 and the GM= 8 a difference of 20% as stipulated in the question. Option (a) is correct.

Question 2 of 5
2. Question
The highest power on 990 that will exactly divide 1090! Is
Correct
Ans C
990 = 11 x 3^{2} x 2 x 5. The highest power of 990 which would divide 1090! would be the power of 11 available in 1090. This is given by [1090/11] + [1090/121] = 99 + 9 = 108
Incorrect
Ans C
990 = 11 x 3^{2} x 2 x 5. The highest power of 990 which would divide 1090! would be the power of 11 available in 1090. This is given by [1090/11] + [1090/121] = 99 + 9 = 108

Question 3 of 5
3. Question
If 146! is divisible by 6″, then find the maximum value of n.
Correct
Ansb
For finding the highest power of 6 that divides 146!, we need to get the number of 3’s that would divide 146!. The same can be got by: [146/3] + [48/3]+ [16/3] + [5/3]= 70.
Incorrect
Ansb
For finding the highest power of 6 that divides 146!, we need to get the number of 3’s that would divide 146!. The same can be got by: [146/3] + [48/3]+ [16/3] + [5/3]= 70.

Question 4 of 5
4. Question
The last two digits in the multiplication of 35 . 34 . 33 . 32 . 31 . 30 . 29 . 28 . 27. 26 is
Correct
Ansa
There would be two fives and more than two twos in the prime factors of the numbers in the multiplication. Thus, we would get a total of 2 zeroes.
Incorrect
Ansa
There would be two fives and more than two twos in the prime factors of the numbers in the multiplication. Thus, we would get a total of 2 zeroes.

Question 5 of 5
5. Question
The expression 333^555+555^333 is divisible by
Correct
Both 333^{555} and 555^{333} are divisible by 3,37 and 111. Further, the sum of the two would be an even number and hence divisible by 2. Thus, all the four options divide the given number.
Incorrect
Both 333^{555} and 555^{333} are divisible by 3,37 and 111. Further, the sum of the two would be an even number and hence divisible by 2. Thus, all the four options divide the given number.
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