CAT 1991 — QA Question 33
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.
What is the greatest power of 5 which can divide 80! exactly.
Answer & solution
- A
16
- B
20
19
- D
None of these
Solution
Number of powers of 5 in 80! = + = 19.
Hence, option (c).