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08 May 2018, 04:18
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A
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42% (02:15) correct
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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.
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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
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Bunuel
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
\(\frac{G}{8} + \frac{G}{5} + \frac{G}{4} + \frac{G}{2}\) \(= 1.075G\)
Hence, \(1+7+5=13\).
Answer: A
