July 27th, 2007 [quant]

1.If a rectangle’s length and width are both doubled, by what percent is the rectangle’s area increased?
A. 50
B. 100
C. 200
D. 300
E. 400

Ans : D

2.On the xy-coordinate plane, points A and B both lie on the circumference of a circle whose center is O, and the length of AB equals the circle’s diameter. If the (x,y) coordinates of O are (2,1) and the (x,y) coordinates of B are (4,6), what are the (x,y) coordinates of A?
A. (3, 3/2)
B. (1, 2/2)
C. (0, -4)
D. (2/2, 1)
E. (-1, -2/2)

Ans : C

3.An empty swimming pool can be filled to capacity through an inlet pipe in 3 hours, and it can be completely drained by a drainpipe in 6 hours. If both pipes are fully open at the same time, in how many hours will the empty pool be filled to capacity?
A. 4
B. 4.5
C. 5
D. 5.5
E. 6

Ans : E

4.Five years ago, Beth’s age was three times that of Amy. Ten years ago, Beth’s age was one half that of Chelsea. If C repre- sents Chelsea’s current age, which of the following represents Amy’s current age?
A. c/6 + 5
B. 2c
C. (c-10)/3
D. 3c-5
E. 5c/3 - 10

Ans : A

5.If the area of two circles are in the ratio 169 : 196 then the ratio of their radii is
A. 10 : 11
B. 11 : 12
C. 12 : 13
D. 13 : 14
E. None of the above

Ans : D

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