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Which of the following is closer to (25!+24!)/(25!-24!)?

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Which of the following is closer to (25!+24!)/(25!-24!)?

by Max@Math Revolution » Sun Mar 13, 2016 9:19 pm
Which of the following is closer to (25!+24!)/(25!-24!)?

A. 49
B. 36
C. 25
D. 16
E. 1


* A solution will be posted in two days.
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by Brent@GMATPrepNow » Mon Mar 14, 2016 6:38 am
Max@Math Revolution wrote:Which of the following is closer to (25!+24!)/(25!-24!)?

A. 49
B. 36
C. 25
D. 16
E. 1
Notice that 25! = (25)(24!), so we can factor out 24! from top and bottom.

(25!+24!)/(25!-24!) = [24!(25+1)]/[24!(25-1)]
= (25+1)/(24-1)
= 26/24
≈ 1
Answer: E

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by Brent@GMATPrepNow » Mon Mar 14, 2016 6:38 am
Max@Math Revolution wrote:Which of the following is closer to (25!+24!)/(25!-24!)?

A. 49
B. 36
C. 25
D. 16
E. 1
Notice that 25! = (25)(24!), so we can factor out 24! from top and bottom.

(25!+24!)/(25!-24!) = [24!(25+1)]/[24!(25-1)]
= (25+1)/(24-1)
= 26/24
≈ 1
Answer: E

Cheers,
Brent
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by Max@Math Revolution » Tue Mar 15, 2016 5:44 pm
Which of the following is closer to (25!+24!)/(25!-24!)?

A. 49
B. 36
C. 25
D. 16
E. 1


-> (25!+24!)/(25!-24!)=(25*24!+24!)/(25*24!-24!)=(25+1)24!/(25-1)24!=26/24=13/12=approximately 1.
Thus, the answer is 1.
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