SAU Admission Entrance Test for MA Development Economics

Sample questions for Part A

1. The limit of the expression limx4

x2 16

x 8(a) 8(b) 16(c) 2(d) 4

2. Let x A a t

b t

, where a(t) and b(t) are positive-valued

differentiable functions of t, and A, α and β are constants. Then is

a.

b.

c.d. None of the above

3. The eigenvalues of any n-dimensional symmetric matrix are

a. Realb. Complexc. Positived. Repeated

4. Consider the following system of equations

2x 2y 3z 0

4x 8y 12z 4

6x 2y tz 4

The value(s) of t for which the system is consistent are

a. 3b. 9c. Any value of td. None of the above

5. If R S ,S 1 K , and K At B, then dR dt is

a. S 1 K 1Aptp1

b. K 1Atp1

1

c. S1K 1ptp1

d. None of the above

6. The following is the coefficient matrix of a homogenous system of equations

2 11 40 3

The system will have

a. Infinitely many solutionsb. No solutionc. Unique solutiond. Have at least one solution

7. Let Y = f(Y) + I. The expression for

d2y

dI2 equals

a.

f (Y)

1 f (Y)2

b.

f (Y)

1 f (Y) 3

c.

f (Y)

1 f (Y) 2

d. None of the above.

8. The solutions of |x − 2| = 5 are a) 7 b) −3 and 7 c) 3 d) √21

9. x2+x−6 has a solution

a) between −5 and −2 b) between −1 and 0 c) between 5 and 7 d) which is greater than 7

10. The derivative of ex ln (x ) is a) ex

/ x b) 1 c) ex ln (x ) d) ex ln ( x )+ex

/x

2