11. (1/4)3 + (3/4)3 + 3(1/4)(3/4)(1/4 + 3/4) =?
(a) 1/64
(b) 27/64
(c) 49/64
(d) 0
(e) 1
Ans : (e)
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12. 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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13. A semi-circle is surmounted on the side of a square. The ratio of the area of the semi-circle to the area of the square is
(a) 1:2
(b) 2 : p
(c) p : 8
(d) 8 : p
(e) None of the above
Ans : (c)
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14. Which of the following is the greatest ?
(a) 40% of 30
(b) 3/5 of 25
(c) 6.5% of 200
(d) Five more than the square of 3
(e) 1/2-4
Ans : (e)
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15. Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ?
(a) 5 minutes
(b) 10 minutes
(c) 15 minutes
(d) 20 minutes
(e) None of the above
Ans : (c)
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16. If the value of XYZ Company stock drops from $25 per share to $21 per share, what is the percent of the decrease?
(a) 4
(b) 8
(c) 12
(d) 16
(e) 20
Ans : (d)
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17. If a building b feet high casts a shadow f feet long, then, at the same time of day, a tree t feet high will cast a shadow how many feet long?
(a) ft/b
(b) fb/t
(c) b/ft
(d) tb/f
(d) t/fb
Ans : (a)
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18. If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer?
(a) xyz
(b) (x - y) (y - z)
(c) x - yz
(d) x(y + z)
(e) x+y+z
Ans : (b)
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19. At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available?
(a) 12
(b) 16
(c) 20
(d) 24
(e) 30
Ans : (c)
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20. What is the greatest value of a positive integer n such that 3n is a factor of 1815?
(a) 15
(b) 18
(c) 30
(d) 33
(e) 45
Ans : (c)
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