Challenge Prelims V1.0 – Day 7 – CSAT Paper

1. Let x be a positive integer such that 7x + 96 is divisible by x. How many values of x are possible? (UPSC 2023)

(a) 10

(b) 11

(c) 12

(d) Infinitely many

2. How many three digit numbers are there (without repetition of digits) such that each digit is even and the number is divisible by 10.

(a) 8

(b) 10

(c) 12

(d) 14

3. A and B are distinct non zero digits. If 3A69B is divisible by 9, what is the maximum value of A+B?

(a) 3

(b) 6

(c) 9

(d) 18

4. If R and S are different integers both divisible by 5, then which of the following is not necessarily true?

(a) R-S is divisible by 5

(b) R+S is divisible by 10

(c) RxS is divisible by 25

(d) R2+S2 is divisible by 5

5. A number ‘X’ is formed by writing 1 for 60 times. Then what is the remainder when X is divided by 7?

(a) 0

(b) 1

(c) 3

(d) 6

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