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CAT 1993 — QA Question 39

PercentageEasy
Passage / Data

The following functions have been defined for three numbers A, B and C:

@ (A, B) = average of A and B
*(A, B) = product of A and B
/(A, B) = A divided by B

Answer these questions with the above data.

A report consists of 20 sheets each of 55 lines and each such line consist of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets is closest to

Answer & solution

  • 20

  • B

    5

  • C

    30

  • D

    35

Solution

The total number of the characters = (20 × 55 × 65).

Let the number of pages in the new format be n.
Thus, the total number of the characters = (65 × 70 × n).

Since the total number of the characters remains same,
⇒ 20 × 55 × 65 = 65 × 70 × n
⇒ n ≈ 16.

Hence, the required percentage =20-1620× 100 = 20%.

Hence, option (a).

CAT 1993 QA Q39: A report consists of 20 sheets each of 55 lines and each such line consist of 65 characters. This report is re — Solution | TheCATExam