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CAT 1993 — QA Question 15

RatioEasy

From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers?

Answer & solution

  • 2 : 1

  • B

    3 : 1

  • C

    3 : 2

  • D

    None

Solution

Let the two given numbers be x and y such that x > y.

According to the question,

x - y2=3(y-y2)

⇒ 2x - y = 6y - 3y

⇒ 2x = 4y

⇒xy=21.

Hence, option (a).

CAT 1993 QA Q15: From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger — Solution | TheCATExam