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11 Jul 2023, 01:30
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (00:33) correct
11%
(00:48)
wrong
based on 119
sessions
History
Date
Time
Result
Not Attempted Yet
What is the unit’s digit of 17^7?
A) 1
B) 3
C) 5
D) 7
E) 9
A) 1
B) 3
C) 5
D) 7
E) 9
11 Jul 2023, 01:52
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7 has cyclicity = 4.
Unit's digit in 7^1 = 7, in 7^2 = 9, in 7^3 = 3 and 7^4 = 1.
Since 7 = 4n+3 form, so 17^7 will have unit digit = 3.
Hence B is the answer.
Unit's digit in 7^1 = 7, in 7^2 = 9, in 7^3 = 3 and 7^4 = 1.
Since 7 = 4n+3 form, so 17^7 will have unit digit = 3.
Hence B is the answer.
Bunuel
11 Jul 2023, 02:41
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Let's calculate the unit's digit of 17 raised to various powers:
17^1 = 17 (unit's digit is 7)
17^2 = 289 (unit's digit is 9)
17^3 = 4913 (unit's digit is 3)
17^4 = 83521 (unit's digit is 1)
17^5 = 1419857 (unit's digit is 7)
As you can see, the unit's digit of 17 repeats in a pattern of 7, 9, 3, 1, 7, and so on.
Answer is B
17^1 = 17 (unit's digit is 7)
17^2 = 289 (unit's digit is 9)
17^3 = 4913 (unit's digit is 3)
17^4 = 83521 (unit's digit is 1)
17^5 = 1419857 (unit's digit is 7)
As you can see, the unit's digit of 17 repeats in a pattern of 7, 9, 3, 1, 7, and so on.
Answer is B
