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Questions from Gmat Prep

by msd_2008 » Fri Oct 17, 2008 1:28 am
Hello,

Can someone help me with the following questions from GmatPrep?

Q1. Five pieces of wood have an average (arithmetic mean) length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length in centimeters of the shortest piece of wood?

A.90 B.100 C.110 D.130 E.140

Q2. In May, Mrs. Lee's earnings were 60% of the Lee Family's total income. In June Mrs.Lee earned 20% more than in May. If the rest of the family's income was the sae boths months, then, in June, Mrs. Lee's earnings were approximately what percent of the Lee family's total income?

A.64% B.68% C.72% D.76% E.80%

Please also provide explanation for choosing your answer? OA's will follow after some threads on this.


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MSD
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by stop@800 » Fri Oct 17, 2008 2:06 am
100 100 140 140 140
so ans is B ie 100

2
Ans is A 64%

initially let family = 100
Lee = 60

after increase
Lee = 72
rest family = 40 [same]

total family income = 112

72/112
= 64%

Hope this helps
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Re: Questions from Gmat Prep

by parallel_chase » Fri Oct 17, 2008 2:37 am
msd_2008 wrote: Q2. In May, Mrs. Lee's earnings were 60% of the Lee Family's total income. In June Mrs.Lee earned 20% more than in May. If the rest of the family's income was the sae boths months, then, in June, Mrs. Lee's earnings were approximately what percent of the Lee family's total income?

A.64% B.68% C.72% D.76% E.80%
MSD

Let Mrs. Lee's earnings be 60 in may

total family earnings = 100

Mrs. Lee's income June = 60 + 60*20% = 72

total family income = 112

combined income = 72/ 112 = 64%.


Hope this helps.
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by 2009wish » Fri Oct 17, 2008 11:28 pm
@ stop@ 800

can u pl explain the first question n detail

thanks
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Re: Questions from Gmat Prep

by Morgoth » Fri Oct 17, 2008 11:41 pm
msd_2008 wrote:
Q1. Five pieces of wood have an average (arithmetic mean) length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length in centimeters of the shortest piece of wood?

A.90 B.100 C.110 D.130 E.140

5 pieces of wood

124 = mean
140 = median or the middle value
we need to find the maximum possible value therefore, minimize all the other values

the shortest piece of the wood has to be less than 140, largest has to be greater than 140.

total = 124*5 = 620

x + y + 140 + 140 + 140 = 620

x+y = 620-140*3 = 620-420

x+y = 200

Maximum possible length = 200/2 = 100.

Hope this helps.
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by msd_2008 » Sat Oct 18, 2008 5:23 am
Thank you friends!
The OAs are indeed B & A...i.e 100 & 64%

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by missrochelle » Sat Aug 28, 2010 4:01 pm
parallel_chase wrote:
msd_2008 wrote: Q2. In May, Mrs. Lee's earnings were 60% of the Lee Family's total income. In June Mrs.Lee earned 20% more than in May. If the rest of the family's income was the sae boths months, then, in June, Mrs. Lee's earnings were approximately what percent of the Lee family's total income?

A.64% B.68% C.72% D.76% E.80%
MSD

Let Mrs. Lee's earnings be 60 in may

total family earnings = 100

Mrs. Lee's income June = 60 + 60*20% = 72

total family income = 112

combined income = 72/ 112 = 64%.


Hope this helps.
Can someone explain why the combined income goes up to 112?
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by gmatmachoman » Sat Aug 28, 2010 10:29 pm
May month total income = 100

Lee's earnings were 60% of the Lee Family's total income : 0.6 * 100
= 60

In June Mrs.Lee earned 20% more than in May : 0.20* 60
= 12

June Income = May Income + Earnings of lee in June
100 + 12
= 112
Now ,what percent of the Lee family's total income?

(Mary Contribution/Total Income)* 100

72/112

=64%
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