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08 Apr 2025, 00:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
50% (01:38) correct
50%
(01:32)
wrong
based on 146
sessions
History
Date
Time
Result
Not Attempted Yet
What is the greatest prime factor of 12! * 11! + 11! * 10! ?
(A) 7
(B) 11
(C) 13
(D) 17
(E) 19
(A) 7
(B) 11
(C) 13
(D) 17
(E) 19
08 Apr 2025, 02:19
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12! * 11! + 11!*10! = 11! * (12! + 10!) .. (taking 11! as common )
=> 11!* 10! (12*11 + 1) .. (taking 10! also common)
=> 11! * 10! * (133)
=> 11! * 10! * 19 * 7
1. 11! and 10! would not have prime factor higher than 11 or 10 , also 19 is clearly visible as factor and among highest in option
E is correct
__________________
GMAT Aspirant June'25
=> 11!* 10! (12*11 + 1) .. (taking 10! also common)
=> 11! * 10! * (133)
=> 11! * 10! * 19 * 7
1. 11! and 10! would not have prime factor higher than 11 or 10 , also 19 is clearly visible as factor and among highest in option
E is correct
__________________
GMAT Aspirant June'25
08 Apr 2025, 02:59
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12! * 11! + 11! * 10!
11! (12! + 10!)
11! * 10! (12*11 + 1)
11! * 10! * 133
11! * 10! * 19 * 7
For 11!, max prime factor would be 11
Similarly for 10!, the max prime factor would be 7
Therefore, highest prime in 11! * 10! * 19 * 7 is 19
11! (12! + 10!)
11! * 10! (12*11 + 1)
11! * 10! * 133
11! * 10! * 19 * 7
For 11!, max prime factor would be 11
Similarly for 10!, the max prime factor would be 7
Therefore, highest prime in 11! * 10! * 19 * 7 is 19
Bunuel
