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ankitaprsd
Joined: 17 Jun 2014
Last visit: 17 Apr 2017
Posts: 24
Given Kudos: 228
Location: India
Schools: ISB '15 NUS '17 CEIBS '16 Great Lakes '16 LBS '17 HEC '15 HKUST '16 Imperial '16 Boston U '16 Tepper '17 Kellogg 1YR '17 Stern '17 ESADE '17 Insead Sept '16
WE:Information Technology (Computer Software)
05 Sep 2014, 21:50
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B
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:
82% (01:45) correct
18%
(02:11)
wrong
based on 302
sessions
History
Date
Time
Result
Not Attempted Yet
Simplify \((16^3-15^3)(16^2-15^2)\) =
A. 22468
B. 22351
C. 22216
D. 22192
E. 22106
Looking for a shortcut to solve this
OA soon
A. 22468
B. 22351
C. 22216
D. 22192
E. 22106
Looking for a shortcut to solve this
OA soon
05 Sep 2014, 21:57
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ankitaprsd
(16^3 - 15^3)(16^2 - 15^2) =
= ({number with units digit of 6} - {smaller number with units digit of 5})*({number with units digit of 6} - {smaller number with units digit of 5}) =
= {number with units digit of 1}*{number with units digit of 1} = {number with units digit of 1}.
Answer: B.
P.S. You must provide the OA if you have it.
15 Sep 2017, 10:08
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ankitaprsd
We can focus on units digits to solve the question.
Since 6 raised to an exponent always produces a units digit of 6, and 5 raised to an exponent always produces a units digit of 5, we have the units digit of the expression as:
(6 - 5)(6 - 5) = 1 x 1 = 1
Thus, the correct answer must have a units digit of 1. Thus, the answer is 22,351.
Answer: B
