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2 PS , 2 DS

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2 PS , 2 DS [#permalink] New post 17 Feb 2007, 09:29
Hi to all!!! I have problems in understanding the answers to also these questions (which i put in bold)
Could you please help me out in explaining them to me??
Thanks alot for continueing helping me and letting me improve my quant skills!!

Riccardo


SET 17

Q8:
A cash register in a certain clothing store is the same distance from two dressing rooms in
the store. If the distance between the two dressing rooms is 16 feet, which of the
following could be the distance between the cash register and either dressing room?
I. 6 feet
II. 12 feet
III. 24 feet
A. I only
B. II only
C. III only
D. I and II
E. II and III



Q15:
If R = P/Q , is R = P ?
(1) P is greater than 50
(2) 0 is less than Q = 20

Answer is E, but I thought C

Q21:
Martin has worked for the last 30 years. If his average (arithmetic mean) total annual
earnings for the first 5 years is $15,000, what is his average total annual earnings for the
last 5 years?
(1) Martin’s average total annual earnings for the first 25 years is $27,000.
(2) Martin’s average total annual earnings for the last 25 years is $34,000.

Answer is C, nut I though 1 was sufficient (and therefore chose A) is it not?

SET 20
Q18:
A rectangular region has a fence along three sides and a wall along the fourth side. The
fenced side opposite the wall is twice the length of each of the other two fenced sides. If
the area of the rectangular region is 128 square feet, what is the total length of the fence,
in feet?
A. 4
B. 8
C. 16
D. 32
E. 64

I got C here, cause I have that the smaller fence sides are 4 each and then we have another which is 2*4= 8 so it should be 16, I don’t understand this solution!
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 [#permalink] New post 17 Feb 2007, 12:36
I will start with #21

Q21: Martin has worked for the last 30 years. If his average (arithmetic mean) total annual earnings for the first 5 years is $15,000, what is his average total annual earnings for the last 5 years?
(1) Martin’s average total annual earnings for the first 25 years is $27,000.
(2) Martin’s average total annual earnings for the last 25 years is $34,000.

From the ques stem we have avg of first 5 yrs

say x1+x2+.. + x5=75000

From Statement # 1 we have only avg of the first 25 yrs (which includes the avd of first 5 yrs) ---- Not sufficient alone
Explanation

(X1+x2+.............x25)/25= 27000
=> x1+x2+.......+x25 = 675000
=> x6+x7+....+x25=600,000..............................(a)

From Statement # 2 we have avg of last 25 yrs -------- not sufficient alone again
Explanation
(x6+x7+........+x30)/25=34000
=> x6+........+x30=850000.................................(b)

From (a) and (b) together, we can find the avg of the last 5 yrs.

Note: All the above calculations are just for reference, not req for DS

Last edited by sgoll on 17 Feb 2007, 15:55, edited 1 time in total.
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 [#permalink] New post 17 Feb 2007, 12:50
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Q18:
A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?
A. 4
B. 8
C. 16
D. 32
E. 64

Let a and be be the length and width of the rectangle. (bold sides being the fenced ones)

Acc to ques a*b=128 (area) ................(1)
Now, fenced side opposite the wall is twice the length of each of the other two fenced sides i,e if a=x, b=2x ............(2)

From (1) and (2)

2x^2=128
=> x=8
Total length of the fence = x+x+2x=32

Hope this helps
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 [#permalink] New post 17 Feb 2007, 13:29
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Right, this should be the easy one
2x*x=128
x^2=64
x = 8

x+2x+x = 32

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  [#permalink] 17 Feb 2007, 13:29
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