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Unit of Measure

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by Night reader » Sat Feb 05, 2011 11:23 am
shriti wrote:Can someone please explain how to solve this question?..Its from the Manhattan GMAT Quant Question bank


What is the units digit of (71)^5(46)^3(103)^4 + (57) (1088)^3 ?

a. 0
b. 1
c. 2
d. 3
e. 4


Thanks
1*6*1 +7*2= (0)
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by Anurag@Gurome » Sat Feb 05, 2011 10:19 pm
shriti wrote:What is the units digit of (71)^5(46)^3(103)^4 + (57) (1088)^3 ?

a. 0
b. 1
c. 2
d. 3
e. 4
Unit's digit of (71)^5 = Unit's digit of (1)^5 = 1
Unit's digit of (46)^3 = Unit's digit of (6)^3 = 6
Unit's digit of (103)^4 = Unit's digit of (3)^4 = 1
Unit's digit of (1088)^3 = Unit's digit of (8)^3 = 2

Hence, unit's digit of [(71)^5]*[(46)^3]*[(103)^4] + (57)*[(1088)^3]
= unit's digit of (1*6*1 + 57*2)
= unit's digit of (1*6*1 + 7*2)
= unit's digit of (6 + 4)
= unit's digit of 10
= 0

The correct answer is A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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