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CAT 1991 — QA Question 32

Number TheoryEasy

x, y and z are three positive integers such that x > y > z. Which of the following is closest to the product xyz?

Answer & solution

Correct answer: (x - 1)yz

  • (x - 1)yz

  • B

    x(y - 1)z

  • C

    xy(z - 1)

  • D

    x(y + 1)z

Solution

Going by the options:

(a) (x - 1)yz = xyz − yz

(b) x(y - 1)z = xyz - xz

(c) xy(z - 1) = xyz - xy

(d) x(y + 1)z = xyz + xz

Here, yz will be minimum out of yz, xz, xy, xz as x > y > z

Hence, option (a).

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CAT 1991 QA Q32: x, y and z are three positive integers such that x > y > z. Which of the following is closest to the product x — Solution | TheCATExam