*540*

No. of Questions: 20

Duration in Minutes: 20

**21.If f(x) = (x² -50), what is the value of f(-5) ?**

A. 75

B. 25

C. 0

D. -25

E. -75

**22. 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

**23. 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)

**24. 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

**25. A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?**

A. 8

B. 9

C. 10

D. 11

E. 12

**26. If V = 12R / (r + R) , then R =**

A. Vr / (12 -V)

B. Vr + V /12

C. Vr -12

D. V / r -12

E. V (r + 1) /12

**27. 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

**28. (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

**29. 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

**30. 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