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Units digit
of x: 5 Units digit
of \(x^{14}\): 5
of x: 5 Units digit
of \(x^{14}\): 5
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:
79% (01:34) correct
21%
(01:49)
wrong
based on 534
sessions
History
Date
Time
Result
Not Attempted Yet
From the answer choices below, select values that could work for the units digit of x and the units digit of \(x^{14}\)
|
Units digit of x |
Units digit of \(x^{14}\) |
|
| 2 | ||
| 3 | ||
| 5 | ||
| 7 | ||
| 8 |
ShowHide Answer
Official Answer
Units digit
of x: 5 Units digit
of \(x^{14}\): 5
of x: 5 Units digit
of \(x^{14}\): 5
08 May 2025, 01:24
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Solution:
By applying the cyclicity concept, the only option that works for the unit's digit of x is 5, and \(x^{14}\) is 5 only.
By applying the cyclicity concept, the only option that works for the unit's digit of x is 5, and \(x^{14}\) is 5 only.
Bismuth83
lisahoang1301
GMAT Focus 1: 565 Q83 V81 DI70 
Posts: 48
26 Aug 2025, 01:56
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Bismuth83
To determine the unit digits of x and \(x^{14}\), I think the quick way is to look at each option:
- If x=2, then its unit digits pattern follows the four-number pattern 2-4-8-6
Then unit digits of \(x^{14}\) is 4 --> No option for 4 - If x=3, then its unit digits pattern follows the four-number pattern 3-9-7-1
Then unit digits of \(x^{14}\) is 9 --> No option for 9 - If x=5, then its unit digits will always be 5, regardless of any positive integer powers of 5
Then unit digits of \(x^{14}\) is 5 --> Correct Answer - If x=7, then its unit digits pattern follows the four-number pattern 7-9-3-1
Then unit digits of \(x^{14}\) is 9 --> No option for 9 - If x=8, then its unit digits pattern follows the four-number pattern 8-4-2-6
Then unit digits of \(x^{14}\) is 4 --> No option for 4
