Insta–DART (Daily Aptitude and Reasoning Test) 15 July 2021

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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

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

Ans-a

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

Ans-a

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

Ans-b

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

Ans-b

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

Ans-a

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

Ans-a

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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