The value of (2^-14 (OG16)

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boomgoesthegmat: Senior | Next Rank: 100 Posts; Posts: 93; Joined: Mon Apr 25, 2016 2:22 pm; Thanked: 1 times; Followed by:1 members

by boomgoesthegmat » Thu May 19, 2016 3:49 pm

The value of (2^-14 + 2^-15 + 2^-16 + 2^-17)/5 is how many times the value of 2^-17?

A) 3/2
B) 5/2
C) 3
D) 4
E) 5

OA: C

Source: Beat The GMAT — Problem Solving | Thu May 19, 2016 3:49 pm

OptimusPrep: Master | Next Rank: 500 Posts; Posts: 410; Joined: Fri Mar 13, 2015 3:36 am; Location: Worldwide; Thanked: 120 times; Followed by:8 members; GMAT Score:770

by OptimusPrep » Thu May 19, 2016 7:39 pm

boomgoesthegmat wrote:The value of (2^-14 + 2^-15 + 2^-16 + 2^-17)/5 is how many times the value of 2^-17?

A) 3/2
B) 5/2
C) 3
D) 4
E) 5

OA: C

(2^-14 + 2^-15 + 2^-16 + 2^-17)/5 = 2^-17*(2^3 + 2^2 + 2 + 1) / 5
= 2^-17 * (15)/5 = 2^-17 * 3

Correct Option: C

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