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

Q.21 $Log(1+i)=$ _____________

A. $\frac{1}{2}ln2+\frac{\pi i}{4}$

B. $\frac{1}{2}ln2-\frac{\pi i}{4}$

C. $\frac{1}{2}ln2+\frac{3\pi i}{4}$

D. $\frac{1}{2}ln2-\frac{3\pi i}{4}$

Check Answer

A

View Explanation

Inprogress

Q.22 which of the following space is complete.

A. Q

B. ] 0,1]

C. R

D. Z

Check Answer

C,D both

View Explanation

Inprogress

Q.23 Least upper bound of $\begin{Bmatrix} \frac{1}{2},\frac{1}{3},\frac{1}{4}... \end{Bmatrix}$ is

A. 1

B. 0

C. $\infty$

D. $\frac{n}{n+1}$

Check Answer

A

View Explanation

Inprogress

Q.24 $\lim_{x \rightarrow 1}\frac{x^x-x}{1-x+lnx}$ is

A. 2

B. -2

C. 1

D. -1

Check Answer

B

View Explanation

Inprogress

Q.25 $\lim_{x \rightarrow 0}x^{sinx}$ is

A. 0

B. 1/2

C. e

D. $\infty$

Check Answer

A

View Explanation

Inprogress

Q.26 Minimum and maximum values of $f(x)=x^{\frac{2}{3}}(x^2-8)$ in interval [-1,1/2] are

A. -7,0

B. 0,6

C. 1,2

D. -2,3

Q.27 $\int_{0}^{1}\frac{4}{1+x^2}dx=$ ____________________

A. 0

B. $\pi$

C. $\frac{4\pi}{3}$

D. $-\pi$

Q.28 $\int_{0}^{\pi}$ cosec ² x dx=___________

A. 0

B. 1

C. -1

D. $\infty$

Q.29 $\lim_{x \rightarrow 0} sin\frac{1}{x}$

A. Does not exist

B. 1

C. 0

D. -1

Q.30 $\int_{0}^{\frac{3\pi}{4}}|cosx|dx=$ ______________

A. $\frac{1}{\sqrt{2}}$

B. $-\frac{1}{\sqrt{2}}$

C. $\infty$

D. $2-\frac{1}{\sqrt{2}}$

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One comment

Muhammad Imran ghallo
09/08/2020 at 2:41 PM

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

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