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# Quant Question of the Day Chat

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Re: Quant Question of the Day Chat [#permalink]
can someone helo in this please? am getting 1/6
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Re: Quant Question of the Day Chat [#permalink]
Red =1330
Blue=2660
P(blue)=2660/8000

Approximately 1/3
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Re: Quant Question of the Day Chat [#permalink]
twice as many blue as red means red=2blue or blue=2 red
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Re: Quant Question of the Day Chat [#permalink]
A lottery box contains 8,000 tickets, each of which is red or blue or green: b + g + r = 8000
The box contains twice as many blue tickets as red tickets b = 2r
The number of green tickets is 20 more than the number of red and blue tickets combined: g - 20 = b + r

The question ask to find the approximate value of b/8,000.

Substituting g - 20 = b + r into b + g + r = 8000 we get g + (g - 20) = 8000, which gives g = 4,010.
Substituting g = 4,010 into g - 20 = b + r we get 4,010 - 20 = b + r, which gives r = 3,990 - b.
Substituting r = 3,990 - b into b = 2r we get b = 2(3,990 - b), which gives b = 2,660.

Therefore, b/8,000 = 2,660/8,000 = 133/400 ≈ 1/3.

Check here: a-lottery-box-contains-8-000-tickets-each-of-which-is-red-or-blue-or-428952.html#p3388007
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Re: Quant Question of the Day Chat [#permalink]
can someone help me pls, can’t figure out the mistake I am making
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Re: Quant Question of the Day Chat [#permalink]
Take 100 employees at this company. 60 participate in the retirement plan. 20% of this 60 also participate in the health plan. So 12 people participate in the retirement and health plan.

48 people in total signed up for health plan. Out of them, 12 also participate in retirement. So 12/48 -> 1/4
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Re: Quant Question of the Day Chat [#permalink]
Bunuel, can you please provide solution for this question ?

a-share-of-company-p-is-20-percent-more-expensive-than-a-share-of-comp-428317.html

is it because the "trading volume" is given in A that the answer is B and not D, since trading volume is always less than total volume of a company’s shares ?
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Re: Quant Question of the Day Chat [#permalink]
Of the employees at a certain company, 60 percent participate in the company’s retirement plan; and of those employees, 20 percent also participate in the company’s health plan. If 48 percent of the company’s employees participate in its health plan, what fraction of those employees also participate in the company’s retirement plan?

A. 1/4
B. 1/3
C. 1/2
D. 2/3
E. 3/4

20% of 60%, thus 12% of the employees participate both in the retirement plan and health plan. The question asks what fraction of the employees participating in the health plan, participate in both plans. Since we got that 12% participate in both, then the answer is both/health = 12/48 = 1/4.

divyansh843, is this a GMAT Prep Focus question? Which test? Thank you!
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Re: Quant Question of the Day Chat [#permalink]
 Data Sufficiency Butler: April 2024 April 24 DS 1 DS 2
Math Expert
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Re: Quant Question of the Day Chat [#permalink]
 Problem Solving Butler: April 2023 April 24 PS 1 PS 2

­
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Re: Quant Question of the Day Chat [#permalink]
is this an OG question?
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Re: Quant Question of the Day Chat [#permalink]
 Data Sufficiency Butler: April 2024 April 25 DS 1 DS 2
­
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Re: Quant Question of the Day Chat [#permalink]
 Problem Solving Butler: April 2023 April 25 PS 1 PS 2
Manager
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Re: Quant Question of the Day Chat [#permalink]
Bunuel do you have the link for

all butler questions ?
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Quant Question of the Day Chat [#permalink]
1
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Intern
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Re: Quant Question of the Day Chat [#permalink]
Baye’s theorem is all you need
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Re: Quant Question of the Day Chat [#permalink]