CSAT 2021

Q. The number 3798125P369 is divisible by 7. What is the value of the digit P?

(a) 1
(b) 6
(c) 7
(d) 9
Correct Answer: (b) 6

Question from UPSC Prelims 2021 CSAT Paper

Explanation :

3798125P369

The sum of the digits of an integer is 10 if the digits add up to 10. For example, the number 703 has a digit sum of 7 + 0 + 3 = 10. We can find all integers between 700 and 1000 that have a digit sum of 10 by listing them out:

703, 712, 721, 730, 802, 811, 820, 901, 910.

There are 9 integers between 700 and 1000 that have a digit sum of 10. So the correct answer is (d) 9.

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