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moneyman: Master | Next Rank: 500 Posts; Posts: 468; Joined: Sat Mar 03, 2007 10:17 pm; Thanked: 5 times

by moneyman » Sun May 27, 2007 9:32 pm

Pls explain..

The difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's salaries.If Mary's annual salaries was the highest of the three,then what was the average annual salary of the three people?

(1)Jim's annual salary was $30000 that year
(2)Kate's annual salary was $40000 that year

In the XY plane,at what two points does the graph of y=(x+a)(x+b) intersect the x-axis?
(1)a+b=-1
(2)The graph intersects the y-axis at (0,-6)

Thanks

Maxx

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Source: Beat The GMAT — Data Sufficiency | Sun May 27, 2007 9:32 pm

f2001290: Master | Next Rank: 500 Posts; Posts: 400; Joined: Sat Mar 10, 2007 4:04 amFollowed by: 1 member; Thanked: 1 times

by f2001290 » Mon May 28, 2007 6:30 am

M-J = 2(M-K)

M,K and J are the salaries of Mike Jim and Kate respectively.

Question is asking for (M+J+K)/3

1. Gives only Jim's salary - Insufficient
2. Gives only Kate's salary - Insufficient

Using 1 and 2, we can get Mike's salary

Answer is C

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moneyman: Master | Next Rank: 500 Posts; Posts: 468; Joined: Sat Mar 03, 2007 10:17 pm; Thanked: 5 times

Thats not the answer

by moneyman » Mon May 28, 2007 8:30 am

I used the same method to solve the 1st question..But the answer is B not C..

Maxx

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jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

Re: TestPrep

by jayhawk2001 » Mon May 28, 2007 8:42 am

moneyman wrote:Pls explain..

The difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's salaries.If Mary's annual salaries was the highest of the three,then what was the average annual salary of the three people?

(1)Jim's annual salary was $30000 that year
(2)Kate's annual salary was $40000 that year

m-j = 2(m-k)
m=2k-j

We are asked to find (m+j+k)/3
=(2k-j + j + k)/3
= k

1 - insufficient. We need to know m,j or k.

2 - sufficient. k alone is sufficient.

Hence B

moneyman wrote: In the XY plane,at what two points does the graph of y=(x+a)(x+b) intersect the x-axis?
(1)a+b=-1
(2)The graph intersects the y-axis at (0,-6)

Thanks

We need to find points a and b

1 - insufficient. We can't find a and b.
0 = x^2 -x + ab

2 - insufficient. ab = 6
0 = x^2 +(a+b)x -6

Using 1 and 2, you get

x^2 -x -6 = 0
x = 3, x = 2

Hence C

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