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14 Feb 2020, 21:36
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
37% (01:08) correct
63%
(01:29)
wrong
based on 51
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Not Attempted Yet
If m is an integer, is \(2^m\) greater than \(5^m\)?
(1) m + 1 > 0
(2) m - 1 < 0
(1) m + 1 > 0
(2) m - 1 < 0
VIkash1073
Joined: 01 Jan 2020
Last visit: 07 Dec 2024
Posts: 3
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Given Kudos: 7
Location: India
Schools: Broad Darden '24 ISB '23 Mendoza Tepper '24
GMAT 1: 680 Q49 V32
14 Feb 2020, 22:26
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Statement 1
M+1>0
M>-1
Now case 1-
considering M=0
2^m = 5^m =1
Case 2
M>0
5^m > 2^m
Hence insufficient
Statement 2
M-1<0
M<1
Case 1
considering M=0
2^m = 5^m =1
Case 2
M<0
2^m > 5^m
Hence insufficient
Now considering both statements
M-1<0 and M+1>0
And since M is an integer, there is only one possible value of M.
i.e, M=0
Hence we can say that
2^m = 5^m
Answer will be C
Posted from my mobile device
M+1>0
M>-1
Now case 1-
considering M=0
2^m = 5^m =1
Case 2
M>0
5^m > 2^m
Hence insufficient
Statement 2
M-1<0
M<1
Case 1
considering M=0
2^m = 5^m =1
Case 2
M<0
2^m > 5^m
Hence insufficient
Now considering both statements
M-1<0 and M+1>0
And since M is an integer, there is only one possible value of M.
i.e, M=0
Hence we can say that
2^m = 5^m
Answer will be C
Posted from my mobile device
16 Feb 2020, 09:51
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kapil1
If m is an integer, is \(2^m\) greater than \(5^m\)?
(1) m + 1 > 0
(2) m - 1 < 0
(1) m + 1 > 0
(2) m - 1 < 0
I'm not sure why, but when I quote your post, the "OA" is not also being quoted, but the OA provided above at the moment is "C", which is not correct. What is the source of the question?
If Statement 1 is true, then m > -1. Since m is an integer, the smallest value of m would then be 0, in which case 2^m is not greater than 5^m, since they'd both equal 1. If m is a positive integer, clearly 2^m is not greater than 5^m, since the product of m "2"'s will be smaller than the product of m "5"'s. So no matter the value of m, we can be sure that 2^m is not greater than 5^m, and we can be sure the answer to the original question is "no". Statement 1 is sufficient.
Statement 2 is not sufficient. It tells us m < 1, but when m = 0, the answer to the question is "no", and when m is negative, the answer to the question is "yes". So the answer is A.
