Question

XYZ Limited is a small organization of eight employees. In order to ensure that there are no service interruptions, the HR department has prepared a lunch program for 'P, Q, R, S, T, U, V and W employees. From 1.00 am to 1.30 pm and from 1.30 pm to 2.00 pm there are only two scheduled times (slots) and the following conditions:

a) Due to limited space to dine, the designated space (slot) can accommodate a maximum of five and a minimum of four employees.

b) 'P' and 'S' will eat together. 'W' is not in that scheduled time (slot).

c) 'Q' and 'R' cannot have lunch at the same time as 'S'.

d) 'U' cannot have lunch with 'V' but with 'P' and 'T'.

If V and W are having lunch at the scheduled time (slot) of 1.30 pm then who are the other people at the dinner table?

1. Q and S
2. Q and R
3. R and S
4. V and P

Answer 1

Correct Answer - Option 2 : Q and R

Employee: P, Q, R, S, T, U, V, and W

Time slots: 1.00 am to 1.30 pm and from 1.30 pm to 2.00 pm

1) 'P' and 'S' will eat together. 'W' is not in that scheduled time (slot).

Time Slot	Employee (Case - 1)	Employee (Case - 2)
1.00 am to 1.30 pm	P, S	W
1.30 pm to 2.00 pm	W	P, S

2) 'Q' and 'R' cannot have lunch at the same time as 'S'.

Time Slot	Employee (Case - 1)	Employee (Case - 2)
1.00 am to 1.30 pm	P, S	W, Q, R
1.30 pm to 2.00 pm	W, Q, R	P, S

3)  'U' cannot have lunch with 'V' but with 'P' and 'T'.

Time Slot	Employee (Case - 1)	Employee (Case - 2)
1.00 am to 1.30 pm	P, S, U, T	W, Q, R, V
1.30 pm to 2.00 pm	W, Q, R, V	P, S, U, T

If V and W are having lunch at the scheduled time (slot) of 1.30 pm then Case - 1 is eliminated.

Time Slot	Employee (Case - 2)
1.00 am to 1.30 pm	W, Q, R, V
1.30 pm to 2.00 pm	P, S, U, T

Other people at 1.00 am to 1.30 pm time slot are Q and R.

Hence, "Q and R" is the correct answer.