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A new game show on TV has | 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!

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You may also find remaining question solution of CAT 2019, Slot 2 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 new game show on TV has…

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

CAT 2019 - Slot 1 - Set 1 - A new game show on TV has...

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.

Q. 1: What is the minimum possible number of different types of prizes?

Correct Answer: 2

Explanation:

Minimum possible number is when there is 1 of type a and 99 of type b which is in accordance to the condition.

Q. 2: What is the maximum possible number of different types of prizes?

Correct Answer: 6

Explanation:

Maximum possible number is when 1 of a, 2 of b, 4 of c, 8 of d, 16 of e, 32 of f,

Now left boxes woud be 100 – (1+2+…32) = 37

Now if one more type is to be added then we need at least 64 which is not available thus maximum possible is 6.

Q. 3: Which of the following is not possible?

1. There are exactly 45 items of type c.
2. There are exactly 30 items of type b.
3. There are exactly 75 items of type e.
4. There are exactly 60 items of type d.

Correct Answer: Option: 1

Explanation:

Lets try to prove the given options possible using easy numbers.

op1:never possible

op2: 1,30,69 is possible

op3: 1,2,4,18.75 is possible

op4: 1,9,30,60 is possible.

Q. 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. 5
2. 4
3. 3
4. 6

Correct Answer: Option: 1

Explanation:

There have to be then at least 31 + `1 + 43 = 75 gifts of same type,

Thus maximum possible number of boxes = 5 when all types are lest 1,2,4,18,75 

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