CAT 2019 Slot 1 DILR Set 1 Q1–Q4

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2019 Slot 1, with 4 questions (Selection & Distribution). Answers are CAT's official key.

The set

A new game show on TV has 100 boxes numbered 1, 2, ....., 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, ....., in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes

Question 1

What is the minimum possible number of different types of prizes? ? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 2 Selection & Distribution TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 2

What is the maximum possible number of different types of prizes? ? (TITA)

TITA: type in the answer. There are no options and no negative marking.

Answer: 6 Selection & Distribution TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 3

Which of the following is not possible?
  1. A
    There are exactly 30 items of type b.
  2. B
    There are exactly 75 items of type e.
  3. C
    There are exactly 60 items of type d.
  4. D
    There are exactly 45 items of type c.

Answer: (D) There are exactly 45 items of type c. Selection & Distribution MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 4

You ask for the type of item in box 45. Instead of being given a direct answer, you are told that there are 31 items of the same type as box 45 in boxes 1 to 44 and 43 items of the same type as box 45 in boxes 46 to 100. What is the maximum possible number of different types of items?
  1. A
    5
  2. B
    6
  3. C
    3
  4. D
    4

Answer: (A) 5 Selection & Distribution MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

More Selection & Distribution questions from CAT

All 41 Selection & Distribution questions asked since 2017.