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PUNJAB PUBLIC SERVICE COMMISSION WRITTEN TEST FOR THE POST OF LECTURER IN MATHEMATICS 2015

Q.31  Sec(tan^{-1}\frac{2}{3})=_______________

A.  \frac{2}{\sqrt{13}}

B.  \frac{3}{\sqrt{13}}

C.  \frac{\sqrt{13}}{3}

D.    \frac{\sqrt{13}}{2}

Q.32 Which of the following series is convergent?

A.  \sum \frac{1}{n^2}

B.  \sum \frac{1}{\sqrt{n}}

C.  \sum \frac{1}{n}

D.  \sum \frac{1}{n^{\frac{1}{3}}}

Q.33 x-\frac{x^3}{3!}+\frac{x^5}{5!}-\frac{x^7}{7!}+... is the Maclaurin’s series of

A.   Cosx

B.   Sinx

C.   Sinhx

D.   Coshx

Q.34  \int_{1}^{Z}\int_{0}^{y^{\frac{3}{2}}} \frac{x}{y^2}dxdy=________________

A.  \frac{3}{4}

B.  \frac{7}{8}

C.  \frac{3}{2}

D.  \frac{1}{2}

Q.35   Domain of f(x)=\sqrt{1-x^2}   is ___________

A.   x < 1

B.   x > 1

C.  |x| \leq 1

D.  |x| \geq 1

Q.36  Domain of f(x)=\frac{1}{(1-x)(2-x)} is 

A.   R\[1,2]

B.   R\{1,2}

C.   [1,2]

D.  ]1,2[

Q.37

A.   

B.   

C.   

D.

Q.38

A.   

B.   

C.   

D.   

Q.39

A.   

B.   

C.   

D.   

Q.40

A.   

B.   

C.   

D.

One comment

  1. Muhammad Imran ghallo

    MashAllah Very nice work. Sir Please answers jaldi upload kr do.

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