MBAP logo

A supermarket has to place 12 items | CAT DILR questions – Logical Reasoning

Since 2015, the CAT DILR section has become increasingly difficult. In order to tackle the tougher CAT Level DILR questions for the CAT Exam, it is important to understand the basics of CAT. Data Interpretation sets and Logical reasoning puzzles were distinct in DILR. Data Interpretation and Logical Reasoning used to be about computation and understanding charts, graphs, and tables. Within that one hour, you get 5 high-quality puzzles, with some of them being quite challenging. You will solve 30 actual CAT puzzles in CAT 2019 and CAT 2020. The purpose of this page is to help you prepare for that. Take a crack at those puzzles!

To obtain a great CAT score, make use of MBAP Free Study material with detailed solutions and video explanations. Check out MBAP free Mock test to take these questions in a test format for free.

You may also find remaining question solution of CAT 2019, Slot 1 by searching the question in the search bar.

The question below is from previous year CAT question from CAT 2019 exam comes from CAT Logical Reasoning: A supermarket has to place 12 items.

Find out by answering this question which tests an aspirant’s DILR Ability Skills:

CAT 2019 - Slot 1 - Set 6 - A supermarket has to place 12 items

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.

1. A and B are to be placed in consecutively numbered shelves in increasing order
2. I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept.
3. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.
4. K is to be placed in shelf number 16.
5. L and J are items of the same type, while H is an item of a different type.
6. C is a candy and is to be placed in a shelf preceded by two empty shelves.
7. L is to be placed in a shelf preceded by exactly one empty shelf.

Q. 1: In how many different ways can the items be arranged on the shelves?
1. 4
2. 2
3. 8
4. 1

Correct Answer:  Option 3

Total number of Biscuits = 5

Total number of Candies = 3

So Total number of Savouries = 12 – 5 – 3 = 4

 

From point iii) and iv) it is clear that D, E, F and K are 4 savouries and are kept in shelves numbered 13,14, 15 and 16 as there is no empty shelf between items of the same type.

 

From point II), V and VII) I, J and L are of the same type L being in the least numbered shelf among 3.

 

As from point VI,) C is candy so I, J and L must be Biscuits as there are only 3 candies.

 

From point V) H is not Biscuits so it must be a candy thus A and B must be Biscuits.

 

Now Item can be placed as given below.

 

Case 1) when all biscuits are placed after candies.

 

Case 2) When all candies are placed after biscuits.

Total 8 cases are possible.

 

All questions can be answered now.

 

1. There are two empty shelves between the biscuits and the candies.

2. All candies are kept before biscuits.

3. All biscuits are kept before candies.

4. There are at least four shelves between items B and C

Q. 2: Which of the following items is not a type of biscuit?
1. A
2. L
3. B
4. G

Correct Answer:  Option 4

Q. 3: Which of the following can represent the numbers of the empty shelves in a possible arrangement?
1. 1,7,11,12
2. 1,5,6,12
3. 1,2,6,12
4. 1,2,8,12

Correct Answer:  Option 3

Q. 4: Which of the following statements is necessarily true?
1. There are two empty shelves between the biscuits and the candies
2. All candies are kept before biscuits
3. All biscuits are kept before candies.
4. There are at least four shelves between items B and C.

Correct Answer:  Option 4

Past Year Question Paper & Solutions

Counselling Session
By IIM Mentor

Reach Us

primary Menu

Inspiring Education… Assuring Success!!
Ⓒ 2020 – All Rights Are Reserved

Free Content !!!
Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID
Free Content !!!
Signup now to get the All recent CAT Exam Paper with Solution... Subscribe below with your Email ID