Q1.

EXPLANATION

Ans 1

Q2. Let a, b, m and n be natural numbers such that a > 1 and b > 1. If a^mbⁿ 144¹⁴⁵, then the largest possible value of n-m is

1. 580
2. 290
3. 289
4. 579

EXPLANATION

Ans 4

Q3. The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is

EXPLANATION

15

Q4.

EXPLANATION

967