CAT 1991 — QA Question 35
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.
Find the minimum integral value of n such that the division 55n/124 leaves no remainder.
Answer & solution
124
- B
123
- C
31
- D
62
As 55 does not have factor common with 124, for 55n to be exactly divisible by 124, n should be a multiple of 124.
Hence the minimum value that n can have is 124 itself.
Hence, option (a).