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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!)? [#permalink]

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New post 13 Mar 2016, 21:18
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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.
[Reveal] Spoiler: OA

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Re: Which of the following is closer to (25!+24!)/(25!-24!)? [#permalink]

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New post 13 Mar 2016, 21:31
MathRevolution wrote:
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.

Take 24! outside in both numerator and denominator. You can cancel out.
What you get is (25+1)/(25-1) = 26/24 = 13/12
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Re: Which of the following is closer to (25!+24!)/(25!-24!)? [#permalink]

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New post 13 Mar 2016, 21:48
MathRevolution wrote:
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.



Hi,
25! and 24! may seem close to each other.. but 25! is 25 times more than 24!..
so if you add 1/25th of an item to that item or subtract 1/25th of an item from itself, they will be close to each other ..
as the choice has only 1 and rest are >15, we can safely take answer as 1..

If we had choices like 1 , 1.2 , 1.5 , then it would be necessary to calculate..
Here ofcourse, it is easy calculations but we should be ready to read into the info a Q provides..

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Re: Which of the following is closer to (25!+24!)/(25!-24!)? [#permalink]

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New post 14 Mar 2016, 06:39
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MathRevolution wrote:
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.

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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Re: Which of the following is closer to (25!+24!)/(25!-24!)? [#permalink]

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New post 15 Mar 2016, 17:44
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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Re: Which of the following is closer to (25!+24!)/(25!-24!)? [#permalink]

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Re: Which of the following is closer to (25!+24!)/(25!-24!)? [#permalink]

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MathRevolution wrote:
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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Re: Which of the following is closer to (25!+24!)/(25!-24!)? [#permalink]

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New post 03 May 2017, 21:35
Re: Which of the following is closer to (25!+24!)/(25!-24!)?   [#permalink] 03 May 2017, 21:35
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Which of the following is closer to (25!+24!)/(25!-24!)?

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