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CAT 1996 — QA Question 18

Venn DiagramEasy
Passage / Data

Direction: Answer the questions based on the following information.

A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. 1,148, but the inventory reduced by 54.

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

  • 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).

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