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Updated on: 16 Sep 2023, 08:05
Originally posted by coucoudanger on 16 Sep 2023, 07:29.
Last edited by gmatophobia on 16 Sep 2023, 08:05, edited 1 time in total.
Last edited by gmatophobia on 16 Sep 2023, 08:05, edited 1 time in total.
renamed the topic
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (01:08) correct
20%
(01:26)
wrong
based on 104
sessions
History
Date
Time
Result
Not Attempted Yet
What is the units digit of \(6^{12} - 7^4 - 4^7\)?
A) 1
B) 2
C) 3
D) 4
E) 5
A) 1
B) 2
C) 3
D) 4
E) 5
16 Sep 2023, 08:05
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coucoudanger
\(6^{12} - 7^4 - 4^7\)
\(6^{12} - (7^4 + 4^7)\)
- Unit Digit of (\(7^4\)) = 1
- Unit Digit of (\(4^7\)) = 4
- Unit Digit of (\(6^{12}\)) = 6
Unit Digit of (\(7^4 + 4^7\)) = 5
Unit Digit of (\(6^{12} - 7^4 - 4^7\)) = 6-5 = 1
Option A
Archit3110
Major Poster
17 Sep 2023, 02:38
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Use cyclicity
6 raised to any power has 6 as unit digit
7^4 will be 1
4^odd power is 4
6-1-4 =1
Option A
Posted from my mobile device
6 raised to any power has 6 as unit digit
7^4 will be 1
4^odd power is 4
6-1-4 =1
Option A
coucoudanger
Posted from my mobile device
