|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
08 May 2018, 04:18
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
50% (02:15) correct
50%
(01:56)
wrong
based on 285
sessions
History
Date
Time
Result
Not Attempted Yet
A googol is the number that is written as 1 followed by 100 zeros. if G represents a googol, what is the sum of the digits of \(\frac{G}{8} + \frac{G}{5} + \frac{G}{4} + \frac{G}{2}\) ?
A. 13
B. 22
C. 107
D. 400
E. 1075
A. 13
B. 22
C. 107
D. 400
E. 1075
Updated on: 08 May 2018, 05:03
Originally posted by EgmatQuantExpert on 08 May 2018, 04:43.
Last edited by EgmatQuantExpert on 08 May 2018, 05:03, edited 2 times in total.
Last edited by EgmatQuantExpert on 08 May 2018, 05:03, edited 2 times in total.
Kudos
Bookmarks
Solution
Given:
• Googol is the number written as 1 followed by 100 zeros
• It is represented by G
To find:
• Sum of the digits of \(\frac{G}{8} + \frac{G}{5} + \frac{G}{4} + \frac{G}{2}\)
Approach and Working:
• The quotients in the divisions are as follows:
- o When G is divided by 8, quotient will be 125 followed by zeros
- o When G is divided by 5, quotient will be 200 followed by zeros
- o When G is divided by 4, quotient will be 250 followed by zeros
- o When G is divided by 2, quotient will be 500 followed by zeros
- o The final sum = 125 + 200 + 250 +500 = 1075
As per the options, the correct answer is option A.
Answer: A
08 May 2018, 04:45
Kudos
Bookmarks
Bunuel
\(\frac{G}{8} + \frac{G}{5} + \frac{G}{4} + \frac{G}{2}\) \(= 1.075G\)
Hence, \(1+7+5=13\).
Answer: A
