The product of first twelve positive integers...

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

The product of first twelve positive integers...

by BTGmoderatorLU » Mon Dec 18, 2017 3:35 pm

The product of first twelve positive integers is divisible by all of the following EXCEPT?

(A) 210
(B) 88
(C) 75
(D) 60
(E) 34

The OA is E.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

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Source: Beat The GMAT — Problem Solving | Mon Dec 18, 2017 3:35 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Tue Dec 19, 2017 1:13 am

LUANDATO wrote:The product of first twelve positive integers is divisible by all of the following EXCEPT?

(A) 210
(B) 88
(C) 75
(D) 60
(E) 34

The OA is E.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. We see that option E: 34 is a factor of 2 and 17. Since the product of first twelve positive integers does not include 17, option E: 34 is the correct answer.

The correct answer: E

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Sep 13, 2019 3:27 pm

BTGmoderatorLU wrote:The product of first twelve positive integers is divisible by all of the following EXCEPT?

(A) 210
(B) 88
(C) 75
(D) 60
(E) 34

The OA is E.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

The product of the first twelve positive integers is 12!. Since it does not contain the prime factor of 17, it is not divisible by 34, which contains 17 as a factor.

Answer: E

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