Source: Official Guide for the GMAT 13th Ed. Problem Solving; #77 Official Guide for the GMAT 2015 14th Ed. Problem Solving; #77

1

If n=20!+17, then n is divisible by

If n=20!+17, then n is divisible by which of the following? I. 15 II. 17 III. 19

2 Explanations

3

The result of a sum is divisible by a number when every addend is divisible by that number.

n = 20! + 17

Since 20! is divisible by every integer from 1 to 20, lets check out which of the answers choices are divisible by 17.

Since 17 is the only answer choice divisible by 17, correct answer is: 17 only (C).

Jan 25, 2015 • Comment

4

Gravatar Mike McGarry, Magoosh Tutor

Dec 27, 2013 • Comment

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Section 5.3 Problem Solving

Section 5.3 Problem Solving

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