In a class of 15 students, on an average, each student got 12 books. If exactly two students received same number of books, and remaining student books average be an integer then which of the following could be the number of books received by each of the two students who received same number of books? 1.) 11 2.) 15 3.) 20 4.) 25

Options

A. 11
B. 15
C. 20
D. 25

Answer

`D`

Explanation

(i) Use mean concept.
(ii) Let the two students received x number of books each.
(iii) According to the data 2x + 13p = 180.
(iv) From the options choose x such that p must be an integer.