• CAT 2017 : Slot I Analysis • CAT 2017 : Slot II Analysis

Question :- 


The smallest natural number N (> 1) which is a perfect square, a perfect cube, a perfect fourth power, a perfect fifth power and a perfect sixth power is divided by 2015. The remainder left is

a) 12   b) 21   c) 35   d) None of these


LCM (2, 3, 4, 5, 6) = 60
• Now, 260/(210 + 1) = (210)5/(210 + 1).
• required remainder = (-1)6 = 1.
• Hence (d)
Ans: d) None of these