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CAT 2003 Slot 2 — QA Question 8

Simple EquationsEasy

A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three popular options- air conditioning, radio and power windows- were already installed. The survey found

  • 15 had air conditioning,
  • 2 had air conditioning and power windows but no radios,
  • 12 had radio,
  • 6 had air conditioning and radio, but no power windows,
  • 11 had power windows,
  • 4 had radio and power windows and
  • 3 had all three options.

What is the number of cars that had none of the options?

Answer & solution

Correct answer: 2

  • A

    4

  • B

    3

  • C

    1

  • 2

Solution

Here, AC – Air Conditioning, R – Radio and PW – Power Windows

From the given conditions, we have the above Venn diagram.

When we add up all the values in the Venn diagram, we get 23 (15 + 5 + 1 + 2) cars.

∴ 2 (i.e. 25 − 23) cars don’t have any of the three options.

Hence, option (d).

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CAT 2003 Slot 2 QA Q8: A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which of the three — Solution | TheCATExam