Challenge Prelims V1.0 – Day 4 – CSAT Paper

1. a, b and c are three distinct non-zero digits. Let S be the sum of all possible 2-digit numbers formed using a, b and c without repetition of digits. Then consider the following statements:

Statement 1: S is always divisible by 11

Statement 2: S is always an even number

Statement 3: The maximum possible value of S is 528

Statement 4: S could be a two digit number

How many of the above statements are correct?

2. The product of two natural number is a double digit prime number. The sum of the two numbers is a multiple of four. Then which of the following is a possible value for the difference between the two numbers?

3. Consider the following statements in respect to two natural numbers, p and q, such that p is odd and q is even.

Statement 1: p × q can be an even prime number.

Statement 2: p + q can be an even number.

Statement 3: p/q can be a natural number.

Which of the above given statements is/are correct?

4. Integers are listed from 600 to 900. How many numbers will be there such that it contains either 6 or 9 as a digit?

5. The sum of a two digit number ‘X’ and the number obtained by reversing its digits is 66. If the digits are distinct and non-zero, how many values of ‘X’ are possible?