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CAT 2019 Question Paper | CAT LR DI Slot 1

CAT Previous Year Paper | CAT DILR Questions | Question 3

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from. In CAT Previous Year Paper 2019 we saw some beautiful questions that laid emphasis on learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. This question from CAT 2019 was a brilliant question that could be solved very quickly once you grab a hold of the core idea in the question. What cannot be the number of gifts of a particular type, we work backwords and see if the numbers add up. If you are looking for more questions of this type, visit 2IIM's CAT Question Bank.

CAT DILR : CAT 2019 Question Paper Slot 1

Set 1: Game Show

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 3 : Which of the following is not possible?

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

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Explanatory Answer


The question is " Which of the following is not possible? "

Hence, the answer is 'There are exactly 45 items of type c.'

Choice D is the correct answer

 

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