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

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s55day
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If x is an integer greater than 2, the function f(x) represents the pr [#permalink] New post   Updated on: 22 Aug 2018, 23:42
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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
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E

Originally posted by s55day on 22 Aug 2018, 22:14.
Last edited by Bunuel on 22 Aug 2018, 23:42, edited 1 time in total.
Edited the question.
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chetan2u
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Re: If x is an integer greater than 2, the function f(x) represents the pr [#permalink] New post   22 Aug 2018, 22:28
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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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BrentGMATPrepNow
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Re: If x is an integer greater than 2, the function f(x) represents the pr [#permalink] New post   16 Jan 2020, 08:31
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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


The key here is that f(51) is EQUAL to f(50)
Here's why:
According to the definition of the function f, f(51) = (2)(4)(6). . . (48)(50), and f(50) = (2)(4)(6). . . (48)(50)
So, f(51) - f(50) = [(2)(4)(6). . . (48)(50)] - [(2)(4)(6). . . (48)(50)]
= 0

Answer: E
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Re: If x is an integer greater than 2, the function f(x) represents the pr [#permalink] New post   01 Mar 2020, 13:48
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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


Since both f(51) and f(50) are the product of all even integers from 2 to 50, inclusive, the difference between f(51) and f(50) is 0.

Answer: E
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If x is an integer greater than 2, the function f(x) represents the pr [#permalink] New post   02 May 2022, 23:07
Hello, just for clarity, in GMAT "between" always means inclusivity? For example: "between 2 and 5" will always mean: 2,3,4,5. Or sometimes it can be exclusive (just 3,4,5)?

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Re: If x is an integer greater than 2, the function f(x) represents the pr [#permalink] New post   06 Jan 2024, 07:47
Hello from the GMAT Club BumpBot!

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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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