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28 Nov 2017, 11:14
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What is the remainder when \(6^x\) is divided by 10?
1. x is a positive integer
2. x is a positive even integer
Source: Experts Global
1. x is a positive integer
2. x is a positive even integer
Source: Experts Global
28 Nov 2017, 22:14
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1 alone is sufficient. If X is 0, then the remainder is 1. In all other cases the remainder is 6
Sent from my Moto G (5S) Plus using GMAT Club Forum mobile app
Sent from my Moto G (5S) Plus using GMAT Club Forum mobile app
28 Nov 2017, 22:29
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What is the remainder when \(6^x\) is divided by 10?
1. x is a positive integer
2. x is a positive even integer
Source: Experts Global
1. x is a positive integer
2. x is a positive even integer
Source: Experts Global
Answer should be D.
Statement 1: x is a positive interger. Meaning X > 0 and is an Integer.
Now, \((6)^P\) (where P is a positive Integer) will always give the last digit as 6 and hence remainder will always remain 6. --> SUFFICIENT
Statement 2: This is just a filtered part of Statement 1. Meaning in Statement 1, I already said we will get a single solution for X > 0 and X as an integer. Now, this includes both even and Odd. This, Statement 2 is also sufficient.
Hence, D.
