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# If a and b are prime numbers, such that a>b, which of the

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CEO
Joined: 20 Nov 2005
Posts: 2789
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
If a and b are prime numbers, such that a>b, which of the  [#permalink]

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02 Feb 2006, 17:14
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If a and b are prime numbers, such that a>b, which of the following cannot be true?

A. a+b is prime
B. ab is odd
C. a(a-b) is odd
D. a-b is prime
E. a^b is even

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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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Joined: 07 Jul 2004
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02 Feb 2006, 17:36
a) Out. If a and b are 5 and 3, sum is not prime. But if a and b are 3 and 2, then sum is prime

b) Out. If b is 2, a is 3, then ab is even. But if a is 5, b is 3, then ab is odd.

c) Out. If b is 2, a is 3, then 3(3-2) = 3 = odd. But if a is 5, b is 3, then 5(5-3) = 10 = even.

d) In. If b is 2, a is 3, then a-b=1= !prime. If b is 3, a=5, then a-b=2=prime

e) If a is 3, b is 2, a^b=9=odd. If a is 5, b is 2, a^b is odd.

Ans E
VP
Joined: 29 Dec 2005
Posts: 1297
Re: PS - Prime Numbers  [#permalink]

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03 Feb 2006, 19:05
1
ps_dahiya wrote:
If a and b are prime numbers, such that a>b, which of the following cannot be true?

A. a+b is prime
B. ab is odd
C. a(a-b) is odd
D. a-b is prime
E. a^b is even

E. a is odd and any power of a is always odd, not even. rest all are possible.
CEO
Joined: 20 Nov 2005
Posts: 2789
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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04 Feb 2006, 14:48
Good job guys. OA is E.
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

VP
Joined: 28 Dec 2005
Posts: 1458

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06 Feb 2006, 06:31
by elimination, got E
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Joined: 09 Sep 2013
Posts: 8847
Re: If a and b are prime numbers, such that a>b, which of the  [#permalink]

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21 Sep 2017, 04:46
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Re: If a and b are prime numbers, such that a>b, which of the &nbs [#permalink] 21 Sep 2017, 04:46
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