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**Topic:**

Trigonometry

**Question:**

In a triangle ABC, A = 45o, then the value of (1 + cot B)(1 + cot C) is equal to?

**Options:**

- 0
- 1
- -1
- 2

**Correct Option:**

2

**Explanation:**

Easiest way to solve such questions is to assume angles of triangle;

A = 45o

A + B + C = 180o

B + C = 180 – 45o = 135o

Let’s take, B = 90o & C = 45o

= (1 + cot 90o) (1 + cot 45o)

= (1 + 0) (1 + 1)

= 1 x 2 = 2

**Topic:**

Number Systems

**Question:**

Which of the following numbers lie on the imaginary axis of the Argand diagram?

**Options:**

- 8 + 3i
- 0 + 3i
- 8 + oi
- None of the above

**Correct Option:**

0 + 3i

**Explanation:**

Only B has no real part so its lies on the imaginary axis of the Argand diagram.

**Topic:**

Probability & Permutations

**Question:**

If five digit numbers are formed from 1, 2, 3, 4, 8. What is the probability of forming a number with 2 and 8 not next to each other?

**Options:**

- 2/5
- 2/7
- 5/7
- 3/5

**Correct Option:**

3/5

**Explanation:**

So probability of 2 and 8 not next to each other is = 72/120 = 3/5