Correct Answer - Option 3 : 6 days

**Given**

P, Q and R complete works in 1 day when work together.

**Calculation**

P completes work in 2 days.

Work done by P in 1 day = 1/2

Q completes work in 3 days.

Work done by Q in 1 day = 1/3

Let R completes work in x days

Work done by R in 1 day = 1/x

According to question

(1/2) + (1/3) + (1/x) = 1

(3 + 2)/6 + (1/x) = 1

(5/6) + (1/x) = 1

(1/x) = 1 - (5/6)

(1/x) = (1/6)

x = 6

R completes work in 6 days.