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If x is an integer greater than 2, the function f(x) represents the pr

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Joined: 17 Jul 2018
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Concentration: Strategy, Organizational Behavior
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If x is an integer greater than 2, the function f(x) represents the pr  [#permalink]

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New post Updated on: 22 Aug 2018, 22:42
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Question Stats:

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If x is an integer greater than 2, the function f(x) represents the product of all even integers between 2 and x, inclusive. What is f(51) – f(50)?


A. (51)50!

B. (50^2)49!

C. 50

D. 1

E. 0
Spoiler: OA

Originally posted by s55day on 22 Aug 2018, 21:14.
Last edited by Bunuel on 22 Aug 2018, 22:42, edited 1 time in total.
Edited the question.
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Re: If x is an integer greater than 2, the function f(x) represents the pr  [#permalink]

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New post 22 Aug 2018, 21:28
s55day wrote:
If x is an integer greater than 2, the function f(x) represents the product of all even integers between 2 and x, inclusive. What is f(51) –f(50)?
A.(51)50!
B.(50^2)49!
C.50
D.1
E.0


This means f(x)=f(x-1), if x is odd number
F(51) will be same as f(50)

Ans 0

So f(51)=2*4*6*....*50
And f(50)=2*4*6*....*50
Both are same , so Ans is 0

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If x is an integer greater than 2, the function f(x) represents the pr &nbs [#permalink] 22 Aug 2018, 21:28
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If x is an integer greater than 2, the function f(x) represents the pr

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