GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The remainder when 4^10
[#permalink]
15 Jul 2024, 23:41
15 Jul 2024, 23:41
Expert Reply
00:00
Question Stats:
28% (02:12) correct
71% (02:19) wrong based on 7 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
The remainder when \(4^{10}\) is divided by 5 |
The remainder when \(3^{12}\) is divided by 5 |
Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
The remainder when 4^10
[#permalink]
16 Jul 2024, 23:50
16 Jul 2024, 23:50
1
Expert Reply
1
Bookmarks
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
