Challenge Prelims V1.0 – Day 6 – CSAT Paper

1. An 8 digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible? (UPSC 2019)

(a) 2

(b) 3

(c) 4

(d) 6

2. How many five-digit numbers divisible by 4 can be formed using digits 5, 4, 3, 2 and 1 without repetition?

(a) 12

(b) 24

(c) 36

(d) 48

3. Placing which of the following two digits at the right end of 4530 makes the resultant six digit number divisible by 6, 7 and 9?

(a) 96

(b) 72

(c) 54

(d) 36

4. A number 4P352Q4 is divisible 88. Then which of the following is a possible value of P and Q respectively

(a) 3, 2

(b) 6, 2

(c) 3, 5

(d) 4, 6

5. Consider the Question and two statements given below:

Question: What is x?

Statement 1: x is a prime number between 20 and 30

Statement 2: x when divided by 4, leaves a remainder 3

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

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

(c) Both Statement 1 and Statement 2 together are sufficient to answer the question

(d) Both Statement 1 and Statement 2 are not sufficient to answer the question

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