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Difficulty:
95%
(hard)
Question Stats:
34% (02:44) correct
66%
(02:35)
wrong
based on 119
sessions
History
Date
Time
Result
Not Attempted Yet
If x = \(11^6 - 7^6\) and y = \(7^6 - 3^6\) , then what is the difference between greatest prime factor of x & greatest prime factor of y?
A. 168
B. 48
C. 6
D. 60
E. 210
A. 168
B. 48
C. 6
D. 60
E. 210
![If x = [m]11^6 - 7^6[/m] and y = [m]7^6 - 3^6[/m] , then wha](/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "If x = [m]11^6 - 7^6[/m] and y = [m]7^6 - 3^6[/m] , then wha"){kind=icon}
21 Aug 2019, 08:58
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\(11^6-7^6\)= \((11^3+7^3)(11^3-7^3)\)= \((11+7)(121+49-77)(11-7)(121+49+77)\)
\(11^6-7^6\)= \(18*93*4*247\)=\(2*3^2*3\)*\(31\)*\(2^2*13*19\)
\(7^6-3^6\)= \((7^3+3^3)(7^3-3^3)\)= \((7+3)(49+9-21)(7-3)(49+9+21)\)
\(7^6-3^6\)= \(10*37*4*79\)=\(2*5*37*2^2\)*\(79\)
the difference between greatest prime factor of x & greatest prime factor of y= 79-31=48
\(11^6-7^6\)= \(18*93*4*247\)=\(2*3^2*3\)*\(31\)*\(2^2*13*19\)
\(7^6-3^6\)= \((7^3+3^3)(7^3-3^3)\)= \((7+3)(49+9-21)(7-3)(49+9+21)\)
\(7^6-3^6\)= \(10*37*4*79\)=\(2*5*37*2^2\)*\(79\)
the difference between greatest prime factor of x & greatest prime factor of y= 79-31=48
Kinshook
22 Aug 2019, 02:08
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What is the question source?
Please provide an explanation that is step-by-step.
With only 25% correct so far, is this a 700 level question or out of scope?
Please provide an explanation that is step-by-step.
With only 25% correct so far, is this a 700 level question or out of scope?
