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# What is the value of integer n ? (1) n(n + 1)(n + 2) = 120 (2) n! = 24

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
What is the value of integer n ? (1) n(n + 1)(n + 2) = 120 (2) n! = 24  [#permalink]

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11 Sep 2017, 00:27
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Difficulty:

35% (medium)

Question Stats:

81% (01:13) correct 19% (01:43) wrong based on 35 sessions

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What is the value of integer n ?

(1) n(n + 1)(n + 2) = 120
(2) n! = 24

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Joined: 02 Nov 2015
Posts: 163
GMAT 1: 640 Q49 V29
Re: What is the value of integer n ? (1) n(n + 1)(n + 2) = 120 (2) n! = 24  [#permalink]

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11 Sep 2017, 01:10
Statement 1 : n=4.
Sufficient.

Statement 2: n=4
Each alone is sufficient.

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Re: What is the value of integer n ? (1) n(n + 1)(n + 2) = 120 (2) n! = 24  [#permalink]

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11 Sep 2017, 01:47
Find : n <- integer given

(1) n(n + 1)(n + 2) = 120
=> 120 = 4*5*6 ( we don't have to worry about negative numbers as product of 3 -ve numbers is -ve but given number is +ve)
=> n=4
Sufficient

(2) n! = 24
1*2*3*4 = 24
Therefore n=4 , 4! =24
Sufficient

Re: What is the value of integer n ? (1) n(n + 1)(n + 2) = 120 (2) n! = 24   [#permalink] 11 Sep 2017, 01:47
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# What is the value of integer n ? (1) n(n + 1)(n + 2) = 120 (2) n! = 24

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