Challenge Prelims V1.0 – Day 8 – CSAT Paper

1. Let XYZ is a three digit number where (X+Y+Z) is not multiple of 3. Then (XYZ+YZX+ZXY) is not divisible by. (UPSC 2020)

(a) 3

(b) 9

(c) 37

(d) (X+Y+Z)

2. A five digit number 23A1B is divisible by 4. A and B are distinct digits. Then how many such numbers are possible?

(a) 12

(b) 16

(c) 18

(d) 20

3. A and B are distinct non zero digits. 34A5B is divisible by 3. Then what is the maximum and minimum possible values in order for A+B?

(a) 18, 0

(b) 18, 3

(c) 15, 0

(d) 15, 3

4. Which of the following is true regarding the number 585?

(a) It is divisible by 7

(b) It is divisible by 11

(c) It is divisible by 13

(d) It is divisible by 17

5. Consider the following statements and Question.

Statement 1: A number X is divisible by 6

Statement 2: Number X is divisible by 4

Question: Is X divisible by 12?

Then which of the following is correct?

(a) Statement 1 alone is sufficient to answer the question

(b) Statement 2 alone is sufficient to answer the question

(c) Both statements together are sufficient to answer the question

(d) Neither statement 1 nor statement 2 are sufficient to answer the question

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