Question

3 friends Aman, Bala and Chander go out for having food. Each friend will order exactly one of the following items from Pizza, Burger and Sandwich subject to the following conditions :
(i) If Aman orders Burger, Bala will order the
same item as ordered by Chander.
(ii) If Bala does not orders Pizza, Chander will
order the same item as ordered by Aman.
(iii) If Charider orders Sandwich, all three of them will order different items.

1. If Aman orders Burger, then the item ordered by Bala will be:
(a) Burger
(b) Pizza
(c) Sandwich
(d) Cannot be determined

2. If Bala orders Burger, how many items can Chander possibly order from?
(a) One
(b) Two
(c) Three
(d) Cannot be determined

3. If Bala orders Sandwich while Chander orders Pizza, then the item ordered by Aman will be:
(a) Pizza
(b) Burger
(c) Sandwich
(d) Any one of the three items

4. If Chander orders Sandwich, then in how many different combinations can the 3 friends order their items ?
(a) 3
(b) o
(c) 2
(d) 1​

Answer 1

The answers to the given questions are as follows:

1. If Aman orders Burger, then the item ordered by Bala will be: either burger or pizza( so option d).

As given( condition I), if Aman orders burger, Bala and Chander will order the same so if it's sandwich then again we need to follow condition (iii) and all three should order different items. So Bala can order Pizza or Burger.

2. If Bala orders Burger, Chander can possibly order from: three items( option c).

If Bala orders burger, Chander can order any of the three. If he orders a sandwich, then all the three should order different items.

3. If Bala orders Sandwich while Chander orders Pizza, then the item ordered by Aman will be: Pizza ( option a).

Aman cannot order burger as in such a case, Bala and Chander should order the same.

Aman cannot order sandwich as in such a case, all the three should order different items. So, the only option left is Pizza.

4. If Chander orders Sandwich, then the 3 friends can order their items in 0 combinations( option b).

If Chander orders Sandwich, all the three should order different items so none of them can order sandwich.

The conditions are-

(a)

Chander- Sandwich

Bala- Burger

Aman- Pizza

This is not possible as if Bala doesn't order Pizza, Chander and Aman should order the same item.

(b) Chander- Sandwich

Bala- Pizza

Aman- Burger

This is also not possible as if Aman orders Burger, Bala and Chander should order the same.