Challenge Prelims V1.0 – Day 2 – CSAT Paper

1. How many 4 digit prime numbers can be obtained by using the digits 2,4,6 and 8 if repetition of digits is allowed

2. Durga typed numbers starting from 1 till 50. Then she realised that key for 2 was not working. Then, what is the total number of digits typed by her?

3. X and Y are natural numbers other than 1. Y is greater than X. Which one of the following represents largest number?

4. Consider the following statements with respect to two numbers ‘a’ and ‘b’ such that ‘a’ is a prime number and ‘b’ is a non-prime integer.

Statement 1: There is only one value of ‘a’ such that a × b is an even number

Statement 2:  can be an integer

Statement 3: There are infinitely many possibilities for the value of ‘a’ such that a + b is an even number

How many of the above given statements are correct?

5. Consider the following Question and statements with respect to two distinct integers ‘p’ and ‘q’

Question: Is ‘p’ greater than ‘q’?

Statement 1: Square of ‘p is greater than square of ‘q’

Statement 2: Cube of ‘p’ is greater than cube of ‘q’

Which of the following is true?