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23 Feb 2020, 09:20
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B
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Difficulty:
55%
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Question Stats:
61% (01:31) correct
39%
(01:54)
wrong
based on 382
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What is the remainder when \(3^{32}\) is divided by 82?
A) 0
B) 1
C) 8
D) 9
E ) 81
A) 0
B) 1
C) 8
D) 9
E ) 81
23 Feb 2020, 09:30
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GMATPrepNow
What is the remainder when \(3^{32}\) is divided by 82?
A) 0
B) 1
C) 8
D) 9
E ) 81
A) 0
B) 1
C) 8
D) 9
E ) 81
Asked: What is the remainder when \(3^{32}\) is divided by 82?
Remainder when 3^4 = 81 is divided by 82 = - 1
Remainder when (3^4)^8 is divided by 82 = (-1)^8 = 1
IMO B
General Discussion
shameekv1989
GMAT 3: 720 Q50 V38
Posts: 820
23 Feb 2020, 09:36
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GMATPrepNow
What is the remainder when \(3^{32}\) is divided by 82?
A) 0
B) 1
C) 8
D) 9
E ) 81
A) 0
B) 1
C) 8
D) 9
E ) 81
\(3^{32} = (3^{4})^{8}\)
\(3^4\) = 81
\(\frac{81}{82} => remainder = 81 => remainder = -1\)
Therefore remainder =\( -1^8\) = 1 (Property :- Remainders multiply)
Answer - B
