Student@ competition

Mathematical Aptitude Test

1. What number divided by 4 is the same as that number minus 4?

a. 4 b. 8

c. 16 d. 4/3 e. 16/3

2. y = x, what is dy/dx ?

a. y b. x

c. 1 d. 1/x e. -1

3. Functions f(x) and g(x) are defined as below: f(x)=x-3 and g(x)=3-x Find an expression for f(g(x))

a. 6-2x b. 0

c. 2x-6 d. x e. –x

4. A and B have coordinates (2, 3, –2) and (–1, –4, 0) respectively. What is the approximate distance between A and B?

a. 7 b. 8

c. 9 d. 6 e. 5

5. A sequence is defined as u(n+1) = 3u(n) -4 , u(0) = -1. What is the value of u(3) ?

a. 0 b. -79

c. 25 d. -25 e. -7

6. The points P(1, 3, 7), Q(5, 13, 13) and R(a, 33, 25) are on the same straight line. Point Q is between P and R. What is the value of a?

a. 9 b. 10

c. 13 d. 31 e. 19

7. For what value of k does the equation x^2 – 5x + k = 0 have equal roots?

a. 4 b. 5

c. 4/25 d. 25/4 e. -4/25

8. The vectors a, b and c are represented by the sides of a right-angled triangle. |a| = 3 and |c| = 5. What would be the value of a.b ?

a. 4 b. 0

c. 15 d. -4 e. -15

9. If log t = 2 + log5, what is the value of t?

a. 7 b. 10

c. 25 d. 45 e. 15

10. Find out missing number in the given sequence of numbers: 77, 49, 36, 18,

a. 14 b. 16

c. 8 d. 7 e. 1

Answers:

1. e

2. c

3. e

4. b

5. b

6. c

7. d

8. b

9. b

10. c