GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
If n is an integer from 1 to 96, what is the probability for n*(n+1)*(
[#permalink]
14 Nov 2022, 07:42
n(n+1)(n+2) will be divisible by 8 for all even numbers, i.e. total 48 numbers
also cases in which (n+1) is a multiple of 8 will be divisible by 8
for ex: n=7,15,23.. i.e. total 12 numbers
so total number of such cases is 48+12=60
probability = 60/96 = 5/8 = 62.5%
Answer: C