number properties

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smallsorrow: Master | Next Rank: 500 Posts; Posts: 109; Joined: Mon Sep 08, 2008 12:47 am

by smallsorrow » Tue Sep 30, 2008 9:19 am

If n and k are integers whose roduct is 400, which of the following statements must be true?
A) n+k>0
B) n unequal k
C) Either n or k is a mltiple of 10
D) If n is even, then k is odd
E) If n is odd, then k is even

OA follows

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Source: Beat The GMAT — Problem Solving | Tue Sep 30, 2008 9:19 am

schumi_gmat: Master | Next Rank: 500 Posts; Posts: 377; Joined: Wed Sep 03, 2008 9:30 amFollowed by: 2 members; Thanked: 15 times

by schumi_gmat » Tue Sep 30, 2008 10:06 am

Ans E

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EricLien9122: Master | Next Rank: 500 Posts; Posts: 106; Joined: Thu May 22, 2008 10:50 am; Thanked: 3 times

by EricLien9122 » Tue Sep 30, 2008 10:36 am

A)
n=-20, k=-20

B)

n=20, k=20

C)

n=8, k=25

D)

n=50, k=4

E) Correct choice.

n=25, k=8
n=5, k=80

Please share your thoughts.

Last edited by EricLien9122 on Tue Sep 30, 2008 10:57 am, edited 1 time in total.

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mental: Master | Next Rank: 500 Posts; Posts: 145; Joined: Mon Sep 29, 2008 1:14 am; Thanked: 13 times

by mental » Wed Oct 01, 2008 9:16 pm

was there a choice NONE of the above?

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mental: Master | Next Rank: 500 Posts; Posts: 145; Joined: Mon Sep 29, 2008 1:14 am; Thanked: 13 times

by mental » Thu Oct 02, 2008 5:14 am

I AM UNABLE TO UNDERSTAND THE DIFFERENCE BETWEEN OPTION D AND E.
JUST THAT THEY HAVE CHANGED THE VARIABLE
to me it means that if one is odd, than other is even???

can someone explain pls

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gmat009: Master | Next Rank: 500 Posts; Posts: 458; Joined: Sun Aug 31, 2008 10:44 amFollowed by: 1 member; Thanked: 3 times

by gmat009 » Thu Oct 02, 2008 6:13 am

mental wrote:I AM UNABLE TO UNDERSTAND THE DIFFERENCE BETWEEN OPTION D AND E.
JUST THAT THEY HAVE CHANGED THE VARIABLE
to me it means that if one is odd, than other is even???

can someone explain pls

D) If n is even, then k is odd
E) If n is odd, then k is even

D says when n is even, then k is odd.
Let's assume n=20 or any other even number then k can be any even or odd.

E says when n is odd, then k is even
If n is odd, then K has to be even becoz odd*odd=odd. You can never get 400 result.

Hope that helps.......

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mental: Master | Next Rank: 500 Posts; Posts: 145; Joined: Mon Sep 29, 2008 1:14 am; Thanked: 13 times

by mental » Thu Oct 02, 2008 9:10 am

Thanks

I was reading too much from D
and had taken both the meanings of D and E included in D

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