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collection of tough problems from G PREP - 38

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by abhasjha » Mon Feb 08, 2010 3:31 am
. In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the three people, what was the average annual salary of the three people that year??

A) Jim's annual salary was 30,000 that year

B) Kate's annual salary was 40,000 that year
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Source: — Data Sufficiency |
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by harsh.champ » Mon Feb 08, 2010 4:06 am
abhasjha wrote:. In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the three people, what was the average annual salary of the three people that year??

A) Jim's annual salary was 30,000 that year

B) Kate's annual salary was 40,000 that year

1:-insufficient
2:-insufficient
both,sufficient
Hnce C.
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by shashank.ism » Mon Feb 08, 2010 4:47 am
abhasjha wrote:. In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the three people, what was the average annual salary of the three people that year??

A) Jim's annual salary was 30,000 that year

B) Kate's annual salary was 40,000 that year
since mary's salry was highest
M-J = 2(M-k)
A: only J known , it is insufficient
B: only K known , it is insufficient

combined M- 30000 = 2(M- 40000) --> 50000 = M
so av can be calculated .............sufficent

Ans C
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by ajith » Tue Feb 09, 2010 1:07 am
abhasjha wrote:. In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the three people, what was the average annual salary of the three people that year??

A) Jim's annual salary was 30,000 that year

B) Kate's annual salary was 40,000 that year
M - J = 2(M-K)
Average annual salary = M+K+J/3

A) J = 30,000

M-30000 = 2(M-K)
30000 = 2K -M

Insufficient

B) K =40000

M - J = 2M -80000
M+J = 80000
M+J+K = 120000
Avg salary M+J+K /3 = 40000

Sufficient

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