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What is the units digit of (19)^2(23)^3(31)^4?
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Updated on: 23 Aug 2021, 08:08
Updated on: 23 Aug 2021, 08:08
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Question Stats:
72% (00:27) correct
27% (00:47) wrong based on 11 sessions
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What is the units digit of \((19)^2(23)^3(31)^4\)?
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
Originally posted by Carcass on 23 Aug 2021, 07:38.
Last edited by GeminiHeat on 23 Aug 2021, 08:08, edited 1 time in total.
Last edited by GeminiHeat on 23 Aug 2021, 08:08, edited 1 time in total.
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Re: What is the units digit of (19)^2(23)^3(31)^4?
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23 Aug 2021, 09:51
23 Aug 2021, 09:51
1
Carcass wrote:
What is the units digit of \((19)^2(23)^3(31)^4\)?
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
This question is based on cyclicity;
\((19)^2\) will have units digit as __ 1
\((23)^3\) will have units digit as __ 7
\((31)^4\) will have units digit as __ 1
So, (__ 1)(__ 7)(__ 1) = __ 7
Hence, option D
gmatclubot
Re: What is the units digit of (19)^2(23)^3(31)^4? [#permalink]
23 Aug 2021, 09:51
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