Challenge Prelims V1.0 – Day 81 – CSAT Paper

1. Consider the following statements and Question that follows:

Statement 1: The number is divisible by 2

Statement 2: The number is divisible by 4

Question: Is the number divisible by 8?

Which one of the following is correct in respect of the statements and the Question?

2. Two of the digits of a four digit number is ‘2’ and other two digits is ‘0’. If the difference between the number and the number obtained by reversing its digits is a multiple of 9, then what is the remainder when the number is divided by 100?

3. A number ‘X’ is divisible by both 39 and 21. Then consider the following statements:

Statement 1: The number will always be divisible by 819

Statement 2: The smallest value possible for X is 273

Statement 3: The smallest value greater than 1000 possible for X is 1092

Statement 4: X can never be a two digit number

How many of the above statements are correct?

4. Two statements S1 and S2 are given below followed by a Question:

S1: ‘N’ when divided by 5 gives 1 as a remainder

S2: ‘N’ when divided by 8 gives 2 as a remainder

Question: If ‘N’ is a natural number between 20 and 30, then what is N?

Which one of the following is correct in respect of the statements and the Question?

5. Let ‘a’ be a natural number such that a² + 5a + 120 is divisible by ‘a’. Then how many values of ‘a’ are possible?