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CAT 1991 — QA Question 34

Number TheoryEasy
Passage / Data

Answer the following questions based on the information given below:

There were a hundred schools in a town. Of these, the number of schools having a play – ground was 30, and these schools had neither a library nor a laboratory. The number of schools having a laboratory alone was twice the number of those having a library only. The number of schools having a laboratory as  well as a library was one fourth the number of those having a laboratory alone. The number of schools  having either a laboratory or a library or both was 35.

A third standard teacher gave a simple multiplication exercise to the kids. But one kid reversed the digits of both the numbers and carried out the multiplication and found that the product was exactly the same as the one expected by the teacher. Only one of the following pairs of numbers will fit in the description of the exercise. Which one is that?

Answer & solution

  • A

    14, 22

  • 13, 62

  • C

    19, 33

  • D

    42, 28

Solution

The last digits obtained by multiplying the units place digits should be the same as that obtained by multiplying the tens place digits.

Hence, option (b).

CAT 1991 QA Q34: A third standard teacher gave a simple multiplication exercise to the kids. But one kid reversed the digits of — Solution | TheCATExam