I am writing Mock test and want to share my approach to the questions and wish if you can also share your method of solving the questions, it will be of great help to all of us.

I am writing Mock test and want to share my approach to the questions and wish if you can also share your method of solving the questions, it will be of great help to all of us.

1. Let a, b, c, d, e, f, g, h, i and j be natural numbers less than 6. If LCM of a/b, c/d, e/f and g/h is 6/5, which of the following cannot be the value of a/b +c/d + e/f + g/h

(a)85 (b)145 (c) 2 (d) 32.

2. What is the remainder when 997996997996997996 is divided by 997?

(a) 994 (b) 906 (c) 3 (d) 913.

3. If k is a natural number such that 1≤ k ≤ 78, for how many values of k is the tens digit of 31^k equal to 6?

(a) 8 (b) 15 (c) 7 (d) 164.

4. If P = 6! + 7! + 8! + 9! + 10!, which of the following is a factor of P?

(a) 4206 (b) 4199 (c) 4277 (d) 42125.

5. If sin θ + cosec θ = 4, find the value of (sinθ)^6 + (cosecθ)^6 .

(a) 2704 (b) 4096 (c) 4094 (d) 2702