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Quant Question of the Day Chat

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pamma
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   18 Oct 2023, 23:58
A company has two types of employees: full-time and part-time. The ratio of full-time to part-time employees is 3/5. If 1/4 of the full-time employees and 1/3 of the part-time employees are eligible for a bonus, what fraction of the total number of employees are eligible for a bonus?
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   19 Oct 2023, 00:50
my answer is also 29/96
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aditya.khare
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   19 Oct 2023, 13:14
pamma
A company has two types of employees: full-time and part-time. The ratio of full-time to part-time employees is 3/5. If 1/4 of the full-time employees and 1/3 of the part-time employees are eligible for a bonus, what fraction of the total number of employees are eligible for a bonus?
Either 13/33 or 13/34

aditya.khare
Either 13/33 or 13/34
This is wrong.

It should be 3/10.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 00:19
In how many ways can 4 Indians and 4 Nepalese people be seated around a round table so that no -two Indians are in adjacent positions?

pls someone explain this
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pamma
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 00:55
answer is correct but can u explain this problem
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:09
pamma
answer is correct but can u explain this problem
number of nepalese can sit in (3-1)!...let the indians sit in 4! ways..Total ways = 4! * 3! = 144
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:09
Heyy has anyone here given NMAT and what’s considered to be a good score for it
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:19
SATYAM7777
number of nepalese can sit in (3-1)!...let the indians sit in 4! ways..Total ways = 4! * 3! = 144
Why don’t we do 3! Even for Indian like we did for Nepalese?
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aditya.khare
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:23
Inspirestella
Why don’t we do 3! Even for Indian like we did for Nepalese?
Because after seating nepalese, 4 seats were left for 4 indians.
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HarkiratTalwar
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:26
pamma
my answer is also 29/96
How can the denominator be 96 when the total employees are divided 3:2 between full and part time?

HarkiratTalwar
How can the denominator be 96 when the total employees are divided 3:2 between full and part time?
My bad - read 3/5 as fraction and not ratio
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:29
pamma
my answer is also 29/96
Is this the correct answer?
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aditya.khare
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:31
Inspirestella
Is this the correct answer?
Yes this and 3/10 both are correct answers
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:34
aditya.khare
Yes this and 3/10 both are correct answers
How can there be 2 correct answer?
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aditya.khare
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:37
Inspirestella
How can there be 2 correct answer?
Both comes out to be 0.3. Just a slight change in the way of calculation.

Also, I think it’s easier to say that for every 10 employees 3 are eligible for bonus, actually 3/10 should be the proper answer.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:43
Can you explain how did you get 3/10. I did get 29/96
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aditya.khare
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 01:45
Inspirestella
Can you explain how did you get 3/10. I did get 29/96
Yes. The ratio is 3:5. So instead of solving directly using this ratio, I assumed there are 300 permanent employee and 500 non permanent, 800 total employee. Now if you calculate you’ll get 3/10.
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 02:23
300 - 1/4 = 75
500 - 1/3 = 166.67 (not possible since people)

aditya.khare
Yes. The ratio is 3:5. So instead of solving directly using this ratio, I assumed there are 300 permanent employee and 500 non permanent, 800 total employee. Now if you calculate you’ll get 3/10.
In such cases, always try to take the product of denominators (or LCM in some cases where possible) for easier calculations
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aditya.khare
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 02:26
HarkiratTalwar
300 - 1/4 = 75 500 - 1/3 = 166.67 (not possible since people)
Approximation? 165.
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muskanrajyan5
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 05:07
A school administrator will assign each student in a group of N students to one of M classrooms. If 3<M<13<N, is it possible to assign each of the N students to one of the M classrooms so that each classroom has the same number of students assigned to it?

(1) It is possible to assign each of 3N students to one of M classrooms so that each classroom has the same number of students assigned to it.

(2) It is possible to assign each of 13N students to one of M classrooms so that each classroom has the same number of students assigned to it.

Can someone give an explained solution for this question ?
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aditya.khare
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Re: Quant Question of the Day Chat [#permalink] Quant Question of the Day Chat   20 Oct 2023, 05:55
muskanrajyan5
A school administrator will assign each student in a group of N students to one of M classrooms. If 3<M<13<N, is it possible to assign each of the N students to one of the M classrooms so that each classroom has the same number of students assigned to it? (1) It is possible to assign each of 3N students to one of M classrooms so that each classroom has the same number of students assigned to it. (2) It is possible to assign each of 13N students to one of M classrooms so that each classroom has the same number of students assigned to it.
What is the answer? I think it’ll be E.
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