collection of tough problems from G PREP - 36 - The Beat The GMAT Forum

collection of tough problems from G PREP - 36

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abhasjha: Master | Next Rank: 500 Posts; Posts: 379; Joined: Tue Sep 30, 2008 7:17 amFollowed by: 11 members; Location: NY; Thanked: 28 times

by abhasjha » Mon Feb 08, 2010 3:30 am

If k is a positive integer, is K the square of an integer?

1) k is divisible by 4

2) k is divisible by exactly four primes

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Source: Beat The GMAT — Data Sufficiency | Mon Feb 08, 2010 3:30 am

harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Mon Feb 08, 2010 4:07 am

abhasjha wrote:If k is a positive integer, is K the square of an integer?

1) k is divisible by 4

2) k is divisible by exactly four primes

1:-8 also div. by 4.
2:- many no. s have 4 primes.

both:- 1x2x3x5= 60 hence E.

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Mon Feb 08, 2010 4:16 am

abhasjha wrote:If k is a positive integer, is K the square of an integer?

1) k is divisible by 4

2) k is divisible by exactly four primes

(1) NOT all k divisible by 4 are the square of an integer. Take 8, 12, 20... for example. Insufficient

(2) If k is divisible by exactly four primes, then k could be 210 or its square. Insufficient

taken together

k is divisible by 4 and k is divisible by exactly four primes. When k is split to its primes, at least 2*2 is a must to be appearing there. 420 proves coalescing worthless.

[spoiler]E[/spoiler]

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ajith: Legendary Member; Posts: 1275; Joined: Thu Sep 21, 2006 11:13 pmFollowed by: 2 members; Location: Arabian Sea; Thanked: 125 times

by ajith » Tue Feb 09, 2010 3:13 am

abhasjha wrote:If k is a positive integer, is K the square of an integer?

1) k is divisible by 4

2) k is divisible by exactly four primes

1) insufficient (20 divisible by 4 is not a square 16 divisible by 4 is a square)
2) Insufficient (210 is divisible by exactly four primes, 210^2 is also divisible exactly by 4 primes)

Combining also not sufficient

E

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