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25 Jun 2019, 03:25
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (02:38) correct
33%
(02:48)
wrong
based on 357
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\(100^{15}-3^5\) is written as an integer. What is the sum of the digits of this integer?
A. 225
B. 234
C. 243
D. 262
E. 272
A. 225
B. 234
C. 243
D. 262
E. 272
Updated on: 13 Oct 2025, 10:58
Originally posted by CareerGeek on 25 Jun 2019, 03:39.
Last edited by Bunuel on 13 Oct 2025, 10:58, edited 1 time in total.
Last edited by Bunuel on 13 Oct 2025, 10:58, edited 1 time in total.
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Bunuel
3^5 = 243
100^2 - 3^5 = 9757, Sum = 9*1 + 7 + 5 + 7 = 9*1 + 19
100^3 - 3^5 = 999757, Sum = 9*3 + 19
100^4 - 3^5 = 99999757, Sum = 9*5 + 19
.
.
.
100^15 - 3^5 = Sum = 9*27 + 19 = 243 + 19 = 262
IMO Option D
MidhilaMohan
GMAT 1: 680 Q49 V34
Posts: 112
25 Jun 2019, 03:45
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100^15-3^5
=10^30-243
10^30 will have 30 zeros and when subtracted by 243 will have (30-3) number of 9s
=27*9+7+5+7=262
(9-2=7,9-4=5,10-3=7)
IMO option D
=10^30-243
10^30 will have 30 zeros and when subtracted by 243 will have (30-3) number of 9s
=27*9+7+5+7=262
(9-2=7,9-4=5,10-3=7)
IMO option D
