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21 Jul 2024, 04:56
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
66% (01:26) correct
34%
(01:13)
wrong
based on 237
sessions
History
Date
Time
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What is the tens digit of \(7^{202}\)?
A) 0
B) 1
C) 3
D) 4
E) 9
Inspired by a GMAT Focus question
A) 0
B) 1
C) 3
D) 4
E) 9
Inspired by a GMAT Focus question
21 Jul 2024, 23:27
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Seven has cycliciry of 4
So 7^4 ends in 1
Therefore 7^200 ends in 1
After that for 201 the power 1*7=7
For 202th power 7*7 49
So tens digit is 4
Posted from my mobile device
So 7^4 ends in 1
Therefore 7^200 ends in 1
After that for 201 the power 1*7=7
For 202th power 7*7 49
So tens digit is 4
Posted from my mobile device
28 Aug 2024, 03:48
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You could also view it as: \(49^{101}\), and you'll see that last two digits have a pattern: 49, 01, 49, 01. So \(49^{100}\) would have a tens digit of 0 and \(49^{101}\) as 4.
