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# 120 tickets are to be evenly distributed to n people. If n is greater

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7631
GMAT 1: 760 Q51 V42
GPA: 3.82
120 tickets are to be evenly distributed to n people. If n is greater  [#permalink]

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Updated on: 21 Dec 2018, 10:02
00:00

Difficulty:

15% (low)

Question Stats:

93% (01:21) correct 7% (01:30) wrong based on 75 sessions

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[Math Revolution GMAT math practice question]

$$120$$ tickets are to be evenly distributed to $$n$$ people. If $$n$$ is greater than $$1$$ and the number of tickets given to each person is greater than $$1$$, what is the greatest possible value of $$n$$?

$$A. 9$$
$$B. 10$$
$$C. 12$$
$$D. 14$$
$$E. 15$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 20 Dec 2018, 02:01. Last edited by MathRevolution on 21 Dec 2018, 10:02, edited 3 times in total. Manager Joined: 04 Jun 2018 Posts: 157 GMAT 1: 610 Q48 V25 GMAT 2: 690 Q50 V32 GMAT 3: 710 Q50 V36 Re: 120 tickets are to be evenly distributed to n people. If n is greater [#permalink] ### Show Tags 20 Dec 2018, 03:43 MathRevolution wrote: [Math Revolution GMAT math practice question] $$120$$ tickets are to be evenly distributed to $$n$$ people. If $$n$$ is greater than $$1$$ and the number of tickets given to each person is greater than $$1$$, what is the greatest possible value of $$n$$? $$A. 9$$ $$B. 10$$ $$C. 12$$ $$D. 14$$ $$E. 15$$ Please check OA MathRevolution. 120 is not even divisible by 14. SO every person will not get same (evenly distributed) chocolates. IMO Ans should be E. 15 people each person gets 8 chocolates total= 15*8= 120 Regards Nitesh Intern Joined: 04 Apr 2017 Posts: 4 GMAT 1: 640 Q47 V31 Re: 120 tickets are to be evenly distributed to n people. If n is greater [#permalink] ### Show Tags 20 Dec 2018, 04:39 Ans is E.. Must be an error in OA Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7631 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: 120 tickets are to be evenly distributed to n people. If n is greater [#permalink] ### Show Tags 23 Dec 2018, 19:22 => $$120 = 2^3*3^1*5^1$$ or $$120 = 8*15.$$ Thus $$15$$ is the greatest factor among choices. Therefore, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Re: 120 tickets are to be evenly distributed to n people. If n is greater   [#permalink] 23 Dec 2018, 19:22
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