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If x is a positive integer, what is the result when (x + 1)!

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If x is a positive integer, what is the result when (x + 1)!  [#permalink]

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New post Updated on: 29 May 2014, 03:02
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If x is a positive integer, what is the result when (x + 1)! is divided by (x - 1)! ?

(1) (x - 1)! = 720
(2) x(x + 1) = 56

Originally posted by arjoban on 29 May 2014, 02:01.
Last edited by Bunuel on 29 May 2014, 03:02, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If x is a positive integer, what is the result  [#permalink]

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New post 29 May 2014, 03:05
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arjoban wrote:
If x is a positive integer, what is the result when (x + 1)! is divided by (x - 1)! ?
(1) (x - 1)! = 720
(2) x(x + 1) = 56


Sol:The above expression can be written as
\(\frac{(x+1)!}{(x-1)!}\)---------> \(\frac{(x+1)*x(x-1)!}{(x-1)!}\)

So we need to find what is the result of x*(x+1)

St1: (x-1)!=720, we know 6!=720 so x=7. We can find x(x+1). Sufficient
St 2 : x*(x+1)= 56.....straight away gives what we want. Sufficient

Ans is D
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Re: If x is a positive integer, what is the result when (x + 1)!  [#permalink]

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New post 27 Oct 2015, 12:28
arjoban wrote:
If x is a positive integer, what is the result when (x + 1)! is divided by (x - 1)! ?

(1) (x - 1)! = 720
(2) x(x + 1) = 56

Statement 1. Factorial of some number is 720=8*9*10=2*2*2*2*3*3*5=6*5*4*3*2*1 hence 6!-720 =>x=7
Statment 2. Product of two consecutive numbers is 56. 56=7*8. Again x=7 hence sufficient.
Answer D
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If x is a positive integer, what is the result when (x + 1)! is divide  [#permalink]

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New post 11 Feb 2017, 09:46
If x is a positive integer, what is the result when (x + 1)! is divided by (x - 1)! ?

(1) (x - 1)! = 720
(2) x(x + 1) = 56
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Re: If x is a positive integer, what is the result when (x + 1)!  [#permalink]

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New post 11 Feb 2017, 10:49
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Re: If x is a positive integer, what is the result when (x + 1)!  [#permalink]

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New post 23 Nov 2018, 22:13
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