 Section 2 -Analytical Ability

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 