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16 Sep 2014, 01:00
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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:
45%
(medium)
Question Stats:
63% (01:28) correct
37%
(01:44)
wrong
based on 315
sessions
History
Date
Time
Result
Not Attempted Yet
What is the sum of the digits in the decimal notation of the number \(10^{20} - 16\)?
A. 158
B. 162
C. 165
D. 174
E. 183
A. 158
B. 162
C. 165
D. 174
E. 183
16 Sep 2014, 01:00
Kudos
Bookmarks
Official Solution:
What is the sum of the digits in the decimal notation of the number \(10^{20} - 16\)?
A. 158
B. 162
C. 165
D. 174
E. 183
\(10^{20}\) has 21 digits: a 1 followed by 20 zeros.
\(10^{20}-16\) has 20 digits: eighteen 9's and 84 at the end.
So, the sum of the digits of \(10^{20}-16\) equals \(18*9+8+4=174\).
Answer: D
What is the sum of the digits in the decimal notation of the number \(10^{20} - 16\)?
A. 158
B. 162
C. 165
D. 174
E. 183
\(10^{20}\) has 21 digits: a 1 followed by 20 zeros.
\(10^{20}-16\) has 20 digits: eighteen 9's and 84 at the end.
So, the sum of the digits of \(10^{20}-16\) equals \(18*9+8+4=174\).
Answer: D
General Discussion
123Avi
Joined: 25 Feb 2014
Last visit: 10 Feb 2016
Posts: 38
Given Kudos: 12
Schools: Judge'17 (WL) Oxford'17 (A)
GMAT 1: 730 Q50 V39
GPA: 3.83
Products:
07 Nov 2014, 07:38
Kudos
Bookmarks
Bunuel
Official Solution:
What is the sum of digits in decimal notation of number \(10^{20} - 16\) ?
A. 158
B. 162
C. 165
D. 174
E. 183
\(10^{20}\) has 21 digits: 1 followed by 20 zeros;
\(10^{20}-16\) has 20 digits: 18 9's and 84 in the end;
So, the sum of the digits of \(10^{20}-16\) equals to \(18*9+8+4=174\).
Answer: D
Just one comment or perhaps it is my ignorance but I got confused by the text in decimal notation What is the sum of digits in decimal notation of number \(10^{20} - 16\) ?
A. 158
B. 162
C. 165
D. 174
E. 183
\(10^{20}\) has 21 digits: 1 followed by 20 zeros;
\(10^{20}-16\) has 20 digits: 18 9's and 84 in the end;
So, the sum of the digits of \(10^{20}-16\) equals to \(18*9+8+4=174\).
Answer: D
They could had just written What is the sum of digits of number XXXXXXXXXXX?
