A group of no more than 9 companies are sending their selected employees to attend a technical conference. How many slots for participants should the organizers allocate so that each company will have the same number of slots?
(A)20
(B)60
(C)420
(D)840
(E)2520
OAE
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A group of no more than 9 companies
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Anju@Gurome
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There may be 1, 2, 3, 4, ..., 8, or 9 companies.guerrero wrote:A group of no more than 9 companies are sending their selected employees to attend a technical conference. How many slots for participants should the organizers allocate so that each company will have the same number of slots?
The organizers have to allocate slots so that each company will have the same number of slots.
Hence, number of slots = LCM of 1, 2, 3, 4, ..., 8, and 9 = 9*8*7*5 = 2520
The correct answer is E.
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The least time consuming method to solve this problem is to check the options for a number divisible by 9.
If a number is divisible by 9, the sum of the digits of the number will be divisible by 9 too.
If a number is divisible by 9, the sum of the digits of the number will be divisible by 9 too.
- (A)20 --> (2 + 0) = 2 --> NO
(B)60 --> (6 + 0) = 6 --> NO
(C)420 --> (4 + 2 + 0) = 6 --> NO
(D)840 --> (8 + 4 + 0) = 12 --> NO
(E)2520 --> (2 + 5 + 2 + 0) = 9 --> YES
Anju Agarwal
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Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
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Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
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GMATGuruNY
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The question stem should ask for the LEAST number of slots that must be allocated.guerrero wrote:A group of no more than 9 companies are sending their selected employees to attend a technical conference. How many slots for participants should the organizers allocate so that each company will have the same number of slots?
(A)20
(B)60
(C)420
(D)840
(E)2520
OAE
Each company that attends must be given the same number of slots.
Since 9 companies could attend, the correct answer choice must be a multiple of 9.
For an integer to be a multiple of 9, the SUM OF ITS DIGITS must be a multiple of 9.
Of the answer choices, only E works:
2+5+2+0 = 9.
The correct answer is E.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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