CAT 2019 Slot 1 — DILR Question 4
Answer the following question based on the information given below.
A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.
The following additional facts are known.
- A and B are to be placed in consecutively numbered shelves in increasing order.
- I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.
- D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.
- K is to be placed in shelf number 16.
- L and J are items of the same type, while H is an item of a different type.
- C is a candy and is to be placed in a shelf preceded by two empty shelves.
- L is to be placed in a shelf preceded by exactly one empty shelf.
Which of the following statements is necessarily true?
Answer & solution
There are at least four shelves between items B and C.
- B
There are two empty shelves between the biscuits and the candies.
- C
All biscuits are kept before candies.
- D
All candies are kept before biscuits.
Consdier the solution to first question of this set.
Considering case (i): There are 4 shelves between B and C.
Considering case (ii): There are 5 shelves between B and C.
Hence, there are at least 4 shelves between B and C.
Hence, option (a).