CAT 2003 Slot 1 — QA Question 49
Each question is followed by two statements, A and B. Answer each question using the following instructions
Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose 2 if the question can be answered by using either of the statements alone.
Choose 3 if the question can be answered by using both statements together but not by either statement alone.
Choose 4 if the question cannot be answered on the basis of the two statements.
The number of positive integers n in the range 12 ≤ n ≤ 40 such that the product (n − 1)(n − 2)...3.2.1 is not divisible by n is
Answer & solution
- A
5
7
- C
13
- D
14
For (n − 1)(n − 2) … 3.2.1 to not be divisible by n, n should be a prime number.
But, there are 7 prime numbers in the range 12 ≤ n ≤ 40 are 7.
The prime numbers are 13, 17, 19, 23, 29, 31, 37.
Hence, option (b).