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Updated on: 07 Mar 2026, 09:16
Originally posted by MartyMurray on 26 Nov 2025, 18:26.
Last edited by MartyMurray on 07 Mar 2026, 09:16, edited 2 times in total.
Last edited by MartyMurray on 07 Mar 2026, 09:16, edited 2 times in total.
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
67% (02:13) correct
33%
(02:16)
wrong
based on 81
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The number of people required for hosting a certain event is 10 plus the value arrived at by dividing the number of people who participate in the event by 50. If the event was hosted once in each of two years, how many more people were required the second year than were required the first year to host it?
(1) 400 more people participated the second year than participated the first year.
(2) The number of people who participated the second year was twice the number who participated the first year.
Source: Marty Murray Coaching
(1) 400 more people participated the second year than participated the first year.
(2) The number of people who participated the second year was twice the number who participated the first year.
Source: Marty Murray Coaching
26 Nov 2025, 19:06
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The number of people required for hosting a certain event is 10 plus the value arrived at by dividing the number of people who participate in the event by 50. If the event was hosted once in each of two years, how many more people were required the second year than were required the first year to host it?
The formula for the number of people required for hosting the event is the following, where P is the number of participants and N is the number of people required:
N = 10 + P/50
(1) 400 more people participated the second year than participated the first year.
This statement is tricky because it provides only the increase in the number of participants, and doesn't provide the total number of participants. So, it could seem to be insufficient.
However, if we consider this statement carefully, we see the following.
Regardless of how many people participated the first year, for every 50 more people who participated the second year, another person was required for hosting the event. So, hosting the additional 400 participants the second year required 400/50 = 8 more people than were required the first year.
We can represent the scenario mathematically as follows:
Second Year Requirement \(-\) First Year Requirement \(=\) Increase
Let \(x\) be the number of people required for hosting the first year.
\((10 + \frac{x + 400}{50}) - (10 + \frac{x}{50}) = \) Increase
\(\frac{x + 400}{50} - \frac{x}{50} =\) Increase
\(\frac{400}{50} = 8 =\) Increase
Sufficient.
(2) The number of people who participated the second year was twice the number who participated the first year.
This statement does not provide an absolute number increase in the number of participants. So, this statement alone is not sufficient for determining how many additional people were required for hosting the event the second year.
Insufficient.
Correct answer: A
The formula for the number of people required for hosting the event is the following, where P is the number of participants and N is the number of people required:
N = 10 + P/50
(1) 400 more people participated the second year than participated the first year.
This statement is tricky because it provides only the increase in the number of participants, and doesn't provide the total number of participants. So, it could seem to be insufficient.
However, if we consider this statement carefully, we see the following.
Regardless of how many people participated the first year, for every 50 more people who participated the second year, another person was required for hosting the event. So, hosting the additional 400 participants the second year required 400/50 = 8 more people than were required the first year.
We can represent the scenario mathematically as follows:
Second Year Requirement \(-\) First Year Requirement \(=\) Increase
Let \(x\) be the number of people required for hosting the first year.
\((10 + \frac{x + 400}{50}) - (10 + \frac{x}{50}) = \) Increase
\(\frac{x + 400}{50} - \frac{x}{50} =\) Increase
\(\frac{400}{50} = 8 =\) Increase
Sufficient.
(2) The number of people who participated the second year was twice the number who participated the first year.
This statement does not provide an absolute number increase in the number of participants. So, this statement alone is not sufficient for determining how many additional people were required for hosting the event the second year.
Insufficient.
Correct answer: A
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