CAT 1991QA Question 38

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Passage / Data

Answer the following questions based on the information given below:

There were a hundred schools in a town. Of these, the number of schools having a play – ground was 30, and these schools had neither a library nor a laboratory. The number of schools having a laboratory alone was twice the number of those having a library only. The number of schools having a laboratory as  well as a library was one fourth the number of those having a laboratory alone. The number of schools  having either a laboratory or a library or both was 35.

A one rupee coin is placed on a table. The maximum number of similar one rupee coins which can be placed on the table, around it, with each one of them touching it and only two others is

Answer & solution

  • A

    8

  • 6

  • C

    10

  • D

    4

Solution

It can be seen that if we place 3 coins touching each other, their centers form an equilateral triangle.

Hence the angle made by the centers of the coins around the central coin is 60°.

Since the total angle to be  covered is 360°, there has to be 6 coins surrounding the central coin.

Hence, option (b).

CAT 1991 QA Q38: A one rupee coin is placed on a table. The maximum number of similar one rupee coins which can be placed on th — Solution | TheCATExam