11. The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
A. 720
B. 180
C. 75
D. 65
E. 60
12. (3x + 2) (2x – 5) = ax² + kx + n .What is the value of a – n + k ?
A. 5
B. 8
C. 9
D. 10
E. 11
13. If the radius of a circle is increased by 20% then the area is increased by :
A. 44%
B. 120%
C. 144%
D. 40%
E. None of the above
14. 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
15. A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?
A. 8p
B. pq
C. pq + 27
D. -p
E. (p – q)6
16. Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?
A. 10
B. 15
C. 20
D. 25
E. 30
17. If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value?
A. f(-1)
B. f(0)
C. f(1)
D. f(3)
E. f(4)
18. If the radius of a circle is increased by 20% then the area is increased by :
A. 44%
B. 120%
C. 144%
D. 40%
E. None of the above
19. 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
20. (3x + 2) (2x – 5) = ax² + kx + n .What is the value of a – n + k ?
A. 5
B. 8
C. 9
D. 10
E. 11