M4maths Previous Puzzles

16 Aug 2012 operations

If [K+2]/[K+3] = K/9
then which of the following operations between the values of K will give an integer as answer.

OPtion

1) addition only
2) subtraction only
3) multiplication only
4) division only
5) addition and subtraction
6) multiplication and division
7) addition and multiplication
8) subtraction and multiplication
9) division and addition
10) none of these

Solution

[K+2]/[K+3] = K/9
so K^2-6K-18 = 0
on solving we get K = 3+3sqrt(3) and 3-3sqrt(3)
so addition and multiplication will give integer.

Correct Option: 7 Best Solution (0)