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CAT 1996 — QA Question 18

Venn DiagramEasy

In a locality, two-thirds of the people have cable TV, one-fifth have VCR, and one-tenth have both. What is the fraction of people having either cable-TV or VCR?

Answer & solution

Correct answer: 23 30

  • A

    1930

  • B

    23

  • C

    1730

  • 2330

Solution

Probability of people having cable-TV = 2/3
Probability of people having VCR = 1/5
Probability of people having both = 1/10

∴ Probability of people having cable TV or VCR = 23+115-110 = 20+6-330 = 2330

Hence, option (d).

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CAT 1996 QA Q18: In a locality, two-thirds of the people have cable TV, one-fifth have VCR, and one-tenth have both. What is th — Solution | TheCATExam