Ciara Posted November 4, 2016 Share Posted November 4, 2016 Hey, can you please help me solve this quantitative problem? 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 Quote Link to comment Share on other sites More sharing options...

YaSvoboden Posted November 4, 2016 Share Posted November 4, 2016 This is made much simpler by understanding that you will still end up with mostly 0s. I think the answer is identical if you are dealing with 1000 instead of G. G/8 = 125... G/5= 200... G/4 = 250.... G/2= 500... so 1+ 2+ 5 + 2 +2 +5 +5 = 22 Quote Link to comment Share on other sites More sharing options...

Brent Hanneson Posted November 18, 2016 Share Posted November 18, 2016 Hey, can you please help me solve this quantitative problem? 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 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: A Quote Link to comment Share on other sites More sharing options...

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