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Updated on: 05 Dec 2019, 07:37
Originally posted by HappyQuakka on 28 Aug 2017, 06:39.
Last edited by Bunuel on 05 Dec 2019, 07:37, edited 3 times in total.
Last edited by Bunuel on 05 Dec 2019, 07:37, edited 3 times in total.
Edited the question and moved to PS forum.
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If n is an even integer and <n> denotes that the product of all the even positive integers to n. For example, <n> = 2 * 4 * 6 * 8 * .... * n. What is the greatest prime factor of <20> + <22>?
A. 19
B. 21
C. 23
D. 27
E. 31
A. 19
B. 21
C. 23
D. 27
E. 31
Got this question from my offline GMAT prep course I signed up for last week.. Can anybody help me actually solve this problem please??
Also, how can I tag this post properly?
Also, how can I tag this post properly?
28 Aug 2017, 06:49
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Hey HappyQuakka,
Since <n> = 2*4*6*8*10*12*.... n
<20> = 2*4*6*8*10*12.... 20
<22> = 2*4*6*8*10*12.... 22
Therefore <20> + <22> = 2*4*6*8*10*12.... 20 + 2*4*6*8*10*12.... 20*22 = 2*4*6*8*10*12.... 20(1+22) = 2*4*6*8*10*12.... 20*23
Hence the greatest prime factor must be 23(Option C)
Hope that helps!
Since <n> = 2*4*6*8*10*12*.... n
<20> = 2*4*6*8*10*12.... 20
<22> = 2*4*6*8*10*12.... 22
Therefore <20> + <22> = 2*4*6*8*10*12.... 20 + 2*4*6*8*10*12.... 20*22 = 2*4*6*8*10*12.... 20(1+22) = 2*4*6*8*10*12.... 20*23
Hence the greatest prime factor must be 23(Option C)
Hope that helps!
General Discussion
28 Aug 2017, 07:13
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HappyQuakka
If n is an even integer and <n> denotes that the product of all the positive integers to n. For example, <n> = 2 * 4 * 6 * 8 * .... * n. What is the greatest prime factor of <20> + <22>?
A. 19
B. 21
C. 23
D. 27
E. 31
Got this question from my offline GMAT prep course I signed up for last week.. Can anybody help me actually solve this problem please??
Also, how can I tag this post properly?
A. 19
B. 21
C. 23
D. 27
E. 31
Got this question from my offline GMAT prep course I signed up for last week.. Can anybody help me actually solve this problem please??
Also, how can I tag this post properly?
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