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The remainder when 4^10
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15 Jul 2024, 23:41
15 Jul 2024, 23:41
Expert Reply
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Question Stats:
58% (01:33) correct
41% (01:49) wrong based on 29 sessions
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Quantity A |
Quantity B |
The remainder when \(4^{10}\) is divided by 5 |
The remainder when \(3^{12}\) is divided by 5 |
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Shorter GRE - Preparing for the Quantitative Reasoning Measure
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Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
The remainder when 4^10
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16 Jul 2024, 23:50
16 Jul 2024, 23:50
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Please see our remainde math chapter https://gre.myprepclub.com/forum/gre-qu ... tml#p51989
The best way to deal with the tricky question is to know that
Dividend = Divisor * Quotient + Remainder
So \(4^{10}\) is the same of \((5-1)^{10}\) our remainder is \(-1^{10}=1\)
Same with the RHS
\(3^{12}=(3^2)^6=9^6=(10-1)^6\)
our remainder is \(-1^6=1\)
C is the answer
The best way to deal with the tricky question is to know that
Dividend = Divisor * Quotient + Remainder
So \(4^{10}\) is the same of \((5-1)^{10}\) our remainder is \(-1^{10}=1\)
Same with the RHS
\(3^{12}=(3^2)^6=9^6=(10-1)^6\)
our remainder is \(-1^6=1\)
C is the answer
