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29 Nov 2019, 05:28
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93% (01:01) correct
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If m is a positive integer and \(q+4=7^m\) , which of the following could NOT be a value of q ?
A) 3
B) 45
C) 54
D) 339
E) 2397
Source: Ready4Gmat
A) 3
B) 45
C) 54
D) 339
E) 2397
Source: Ready4Gmat
29 Nov 2019, 07:16
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7^m= 0 mod 7
q=(7-4) mod 7= 3 mod 7
q must leave 3 remainder when divided by 7
54= 5 mod 7
C
q=(7-4) mod 7= 3 mod 7
q must leave 3 remainder when divided by 7
54= 5 mod 7
C
MahmoudFawzy
If m is a positive integer and \(q+4=7^m\) , which of the following could NOT be a value of q ?
A) 3
B) 45
C) 54
D) 339
E) 2397
Source: Ready4Gmat
A) 3
B) 45
C) 54
D) 339
E) 2397
Source: Ready4Gmat
29 Nov 2019, 12:01
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Bookmarks
MahmoudFawzy
If m is a positive integer and \(q+4=7^m\) , which of the following could NOT be a value of q ?
A) 3
B) 45
C) 54
D) 339
E) 2397
Source: Ready4Gmat
A) 3
B) 45
C) 54
D) 339
E) 2397
Source: Ready4Gmat
q + 4 must be a power of 7. Powers grow very fast so the four correct choices of q will also grow very fast. The numbers that should strike out are B and C since they are too close. One of them will make q + 4 a power of 7 and the other choice won't. Plugging in B gives q + 4 = 49, so the incorrect choice must be C.
Ans: C
