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# FPSC Mathematics Lecturer Test Sample Questions

**Sample Questions for FPSC Mathematics Lecturer Test**

1. |

(A) 0

(B) 1

(C) 3

(D) _{}

2. Differentiate 4*x*^{5} with respect to *x*^{3} ?

(A) 3*x*^{2}

(B) 20*x*^{2}

(C) | |

(D) |

3. The Group *G={e,a,b,c}*, where *e* is identity element, has __________ subgroups.

(A) 2

(B) 3

(C) 4

(D) 5

4. GCD of 12 and *x* is 2, and LCM of 12 and *x* is 204. What is *x* ?

(A) 28

(B) 30

(C) 32

(D) 34

5. If eccentricity *e >* 1, then the conic is a/an __________.

(A) elleipse

(B) parabola

(C) hyperbola

(D) circle

6. A die is thrown once. What is the probability that the number appeared is an even number or greater than 4 ?

(A) ^{1}/_{3}

(B) ^{5}/_{6}

(C) ^{2}/_{3}

(D) ^{3}/_{4}

7. What is the Eigenvalue corresponds to the Eigenvector

(A) 4

(B) 5

(C) 6

(D) 7

(A) ^{1}/_{3}

(B) ^{5}/_{2}

(C) ^{2}/_{3}

(D) ^{3}/_{4}

(A) *x*^{3}

(B) 9*x*^{3}

(C) *t*^{3}

(D) 9*t*^{3}

10. Suppose $1,500 is deposited into a savings account that earns simple interest at an annual rate of 10%. How much will be in the account after 5 years and 8 months?

(A) $2200

(B) $2250

(C) $2300

(D) $2350

**ANSWERS: SAMPLE TEST QUESTIONS**

- A
- C
- D
- D
- C
- B
- D Solution: See example-1 of Eigen Values & Eigen Vectors
- B Solution: See example-1 of Integration of Absolute Value Function
- A Solution: See example-2 of Fundamental Theorem of Calculus
- D Solution: See example-1(d) of Simple Interest Problems