Another GMAT Prep Question

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jaydeer44: Senior | Next Rank: 100 Posts; Posts: 44; Joined: Mon Feb 25, 2008 10:36 pm

by jaydeer44 » Fri Mar 21, 2008 4:19 pm

Does anyone know how to solve this GmatPrep DS Problem?

If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r?

(1) n + 1 is divisible by 3.

(2) n > 20

The answer is A.

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Source: Beat The GMAT — Data Sufficiency | Fri Mar 21, 2008 4:19 pm

xeqtr: Senior | Next Rank: 100 Posts; Posts: 59; Joined: Sat Mar 15, 2008 8:44 am; Location: istanbul; Thanked: 2 times

by xeqtr » Fri Mar 21, 2008 4:34 pm

statement 1: n + 1 divisible by 3. 7 x (n + 1) divisible by 3 as well.

7n + 7 - 3 = 7n + 4, since you substracted 3, 7n + 4 is divisible by 3, making the remainder r = 0.

statement 2: no help to identify value of r.

so QA is A.

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