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In a company all 100 employees have different salaries. Tom who is-

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swiikiller
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In a company all 100 employees have different salaries. Tom who is- [#permalink] New post   Updated on: 08 Mar 2021, 09:51
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In a company all 100 employees have different salaries. Tom who is one amongst the 100 employees, has a lowest salary in the second quartile of the 100 employees. If the company were to hire 12 new employees, in which 6 of them have the salary greater than the salary of each of the 100 old employees and 6 of them have the salary lesser than the salary of each of the 100 old employees. What would be the Tom’s salary with respect to the quartiles of the 112 salaries at the company, assuming that there are no other changes in the salaries?

A. Lowest salary in the 2nd Quartile

B. 3rd lowest salary in the 2nd Quartile

C. 4th lowest salary in the 2nd Quartile

D. 5th lowest salary in the 2nd Quartile

E. 6th lowest salary in the 2nd Quartile
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C

Originally posted by swiikiller on 08 Mar 2021, 04:06.
Last edited by swiikiller on 08 Mar 2021, 09:51, edited 1 time in total.
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Re: In a company all 100 employees have different salaries. Tom who is- [#permalink] New post   08 Mar 2021, 05:10
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swiikiller wrote:
In a company all 100 employees have different salaries. Tom who is one amongst the 100 employees, has a lowest salary in the second quartile of the 100 employees. If the company were to hire 12 new employees, in which 6 of them have the salary greater than the salary of each of the 100 old employees and 6 of them have the salary lesser than the salary of each of the 100 old employees. What would be the Tom’s salary with respect to the quartiles of the 112 salaries at the company, assuming that there are no other changes in the salaries?

A. Lowest salary in the 2nd Quartile
B. 3rd lowest salary in the 2nd Quartile
C. 4th lowest salary in the 2nd Quartile
D. 5th lowest salary in the 2nd Quartile
E. 6th lowest salary in the 2nd Quartile


Q1------Q2------Q3------Q4

Since there are 100 employees, we can say 25 employees will lie in Q1, 25 in Q2, 25 in Q3, and 25 in Q4
Now, tom must be the 1st employee in Q2

Q1------Q2(Tom)-----Q3------Q4

Now, when we add 12 more people in the set, we have a total of 112 people. So 28 will lie in Q1, 28 in Q2, 28 in Q3, and 28 in Q4

We have a difference of 3 places = (28 - 25) which means, Tom has shifted 3 places. That means if he was the 1st employee in Q2 - now he will be the 4th employee in Q2

Hence, option C
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Re: In a company all 100 employees have different salaries. Tom who is- [#permalink]
08 Mar 2021, 05:10
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