CAT Exam

A function f(n) is defined as f(n) = (n - 1) (n) (n + 1). What is the remainder when f(n) is divided by 11 given that n = 1247?

Option
(1) 5
(2) 9
(3) 7
(4) 8

Read Solution (Total 1)

f(n) = (n - 1) (n) (n + 1)

so,f(1247)=(1247-1)*1247*(1247+1)= 1246*1247*1248

so, f(1247)/11 => (1246*1247*1248)/11 => rem(3*4*5/11) => rem(60/11) => rem=5

(1) 5
10 years agoHelpfull: Yes(0) No(0)

CAT Other Question

Given that x is real and | x | < 4, which of the following is a permissible range for the value that x can assume so that is always positive?

Option
(1) x < -2 or x > 2
(2) -3 < x < 3
(3) x < -3 or x > 3
(4) -2 < x < 2 If a and b are positive integers such that 4a + 5b - 100 = 0, then find the total number of solutions.

Option
(1) 3
(2) 4
(3) 5
(4) 6