Can someone help me out with this DS question ?
It's from a test on Manhattan GMAT.
If (243)^x(463)^y = n, where x and y are positive integers, what is the units digit of n?
(1) x + y = 7
(2) x = 4
Will post the answer after a couple of replies. I didn't understand the explanation.
-B
Need help with DS question
This topic has expert replies
-
- Junior | Next Rank: 30 Posts
- Posts: 22
- Joined: Fri May 04, 2007 3:51 am
If (243)^x(463)^y = n, where x and y are positive integers, what is the units digit of n?
(1) x + y = 7
(2) x = 4
Given:
(243)^x (463)^y = n;
Unit Digit of n = unit digit of ( (243)^x ) X Unit Digit of ((463)^y)
= 3^x * 3^y
1. x+y = 7 and ==>x ,y = {1,2,3,4,5.6}
= 3^(x+y)
=3^7
Unit Digit of n =1
Sufficient
Answer: A,D
2.x=4 ,no information on y .not sufficient
y={1...n}
if y=1 Unit digit is = 3^5
y=2 Unit digit is =3^6
Answer: A
(1) x + y = 7
(2) x = 4
Given:
(243)^x (463)^y = n;
Unit Digit of n = unit digit of ( (243)^x ) X Unit Digit of ((463)^y)
= 3^x * 3^y
1. x+y = 7 and ==>x ,y = {1,2,3,4,5.6}
= 3^(x+y)
=3^7
Unit Digit of n =1
Sufficient
Answer: A,D
2.x=4 ,no information on y .not sufficient
y={1...n}
if y=1 Unit digit is = 3^5
y=2 Unit digit is =3^6
Answer: A
-
- Junior | Next Rank: 30 Posts
- Posts: 22
- Joined: Fri May 04, 2007 3:51 am