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

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

Answer: E
Source: Kaplan

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

by Brent@GMATPrepNow » Wed Feb 26, 2020 7:01 am

BTGModeratorVI wrote: ↑
Sun Feb 23, 2020 6:55 am
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

Answer: E
Source: Kaplan

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

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 7242; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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

by Scott@TargetTestPrep » Fri Feb 28, 2020 7:58 am

BTGModeratorVI wrote: ↑
Sun Feb 23, 2020 6:55 am
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

Answer: E
Source: Kaplan

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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