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22 Jun 2017, 04:58
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B
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Difficulty:
15%
(low)
Question Stats:
78% (01:01) correct
22%
(00:54)
wrong
based on 217
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What is the value of integer n ?
(1) n(n + 1) = 12
(2) 3^(n+1) = 81
(1) n(n + 1) = 12
(2) 3^(n+1) = 81
Luckisnoexcuse
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Updated on: 22 Jun 2017, 05:08
Originally posted by Luckisnoexcuse on 22 Jun 2017, 05:05.
Last edited by Luckisnoexcuse on 22 Jun 2017, 05:08, edited 2 times in total.
Last edited by Luckisnoexcuse on 22 Jun 2017, 05:08, edited 2 times in total.
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Bunuel
(1) tells us n to be either -4 or 3. Hence insufficient
(2) tells us n+1 = 4, n=3
Sufficient
Answer would be B
Please correct me if i am wrong
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22 Jun 2017, 05:06
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Bunuel
(1) \(n(n + 1) = 12\)
\(n^2 + n - 12 = 0\)
\(n^2 + 4n - 3n - 12 = 0\)
\(n(n+4) - 3 (n+4) =0\)
\((n-3) (n+4) =0\)
\(n =3 , -4\)
(1) gives 2 integer values of n. Hence I is Not Sufficient.
(2) \(3^{(n+1)} = 81\)
\(3^{(n+1)} = 3 ^4\)
\(n+1 = 4\)
\(n = 4 - 1 = 3\)
(2) gives only 1 integer value of n. Hence II is Sufficient. Answer (B)...
