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A googol is the number that is written as 1 followed by 100
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Updated on: 08 May 2018, 03:19
Updated on: 08 May 2018, 03:19
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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 G/8 + G/5 + G/4 + G/2 ?
a. 13
b. 22
c. 107
d. 400
e. 1075
a. 13
b. 22
c. 107
d. 400
e. 1075
Re: Quantitative
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04 Nov 2016, 00:03
04 Nov 2016, 00:03
9
Expert Reply
Hi
We can write G= \(1*10^1^0^0\) or \(1000*10^9^7\)
Now evaluating all the component number
\(\frac{G}{8}\) =\(\frac{1000*10^9^7}{8}\) =\(125 * 10^9^7\).
\(\frac{G}{5}\) =\(\frac{1000*10^9^7}{5}\) =\(200 * 10^9^7\).
\(\frac{G}{4}\) =\(\frac{1000*10^9^7}{4}\) =\(250 * 10^9^7\).
\(\frac{G}{2}\) =\(\frac{1000*10^9^7}{2}\) =\(500 * 10^9^7\).
Adding them up, we have
\(1075 * 10^9^7\).
Thus sum of digits are 1+0+7+5 =13. Hence option A is correct.
Please follow the rules of posting and post in the right forum.
Kindly read the rules of posting.
We can write G= \(1*10^1^0^0\) or \(1000*10^9^7\)
Now evaluating all the component number
\(\frac{G}{8}\) =\(\frac{1000*10^9^7}{8}\) =\(125 * 10^9^7\).
\(\frac{G}{5}\) =\(\frac{1000*10^9^7}{5}\) =\(200 * 10^9^7\).
\(\frac{G}{4}\) =\(\frac{1000*10^9^7}{4}\) =\(250 * 10^9^7\).
\(\frac{G}{2}\) =\(\frac{1000*10^9^7}{2}\) =\(500 * 10^9^7\).
Adding them up, we have
\(1075 * 10^9^7\).
Thus sum of digits are 1+0+7+5 =13. Hence option A is correct.
Please follow the rules of posting and post in the right forum.
Kindly read the rules of posting.
General Discussion
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Re: Quantitative
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17 Nov 2016, 12:20
17 Nov 2016, 12:20
3
Ciara wrote:
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 G/8 + G/5 + G/4 + G/2 ?
a. 13
b. 22
c. 107
d. 400
e. 1075
a. 13
b. 22
c. 107
d. 400
e. 1075
G = 10^100
We can rewrite this as follows: G = (10^3)(10^97)
Or we can say G = (1000)(10^97)
So, G/8 = (1000)(10^97)/8 = (125)(10^97)
G/5 = (1000)(10^97)/5 = (200)(10^97)
G/4 = (1000)(10^97)/4 = (250)(10^97)
G/2 = (1000)(10^97)/2 = (500)(10^97)
So, G/8 + G/5 + G/4 + G/2 = (125)(10^97) + (200)(10^97) + (250)(10^97) + (500)(10^97)
= (10^97)(125 + 200 + 250 + 500)
= (10^97)(1075)
This evaluates to be 1075 followed by 97 zeros
So, the sum of the digits = 1 + 0 + 7 + 5 + a bunch of zeros
= 13
Answer:
Show: ::
A
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