SSC CGL MATHS QUIZ

Question 1:

If $\sin \theta+ \sin ^{2} \theta=1$, then find $\sin \theta+\cos ^{4} \theta =?$

2

-1

-2

1

Question 2:

In a triangle $\mathrm{ABC}, \mathrm{AC}=8 \mathrm{~cm}, \mathrm{BC}=6 \mathrm{~cm}$ and $\angle \mathrm{C}=30^{\circ}$ then find the value of $\mathrm{AB}=$ ?

$5.2 \mathrm{~cm}$

$4.1 \mathrm{~cm}$

$3.25 \mathrm{~cm}$

$6.25 \mathrm{~cm}$

Question 3:

The perimeter of a triangle $\mathrm{ABC}$ is 6 times the arithmetic mean of the sines of its angles. If the side a is 1 , then find angle $\mathrm{A}$.

$\frac{\pi}{3}$

$\frac{2 \pi}{3}$

$\frac{\pi}{6}$

$\frac{\pi}{4}$

Question 4:

In a triangle $\mathrm{ABC}, \angle \mathrm{A}=30^{\circ}, \angle \mathrm{C}=90^{\circ}$, Find the ratio of side?

$1: \sqrt{3}: 2$

$1: 2: \sqrt{3}$

$\sqrt{3}: 2: 1$

$1: \sqrt{3}: \sqrt{2}$

Question 5:

If $\tan x=\frac{a}{a-1}$ and $\tan y=\frac{1}{2 a-1}$ then one of the values of $(x-y)$ is

$\frac{\pi}{3}$

$\frac{\pi}{2}$

$\frac{\pi}{4}$

$\frac{\pi}{6}$

Question 6:

If $\cos \theta+\sin \theta=\sqrt{2} \cos \theta$ then $\cos \theta-\sin \theta=k \sin \theta$ where

$k=\sqrt{3}$

$k=\sqrt{5}$

$k=\sqrt{2}$

None of these

Question 7:

If $\tan A=\frac{1}{2}$ and $\tan B=\frac{1}{3}$ then what is the value of $\tan (2 \mathrm{~A}+\mathrm{B})$

1

2

3

4

Question 8:

$\cos ^{2} \theta+\frac{1}{\operatorname{cosec}^{2} \theta}+17=x$. What is the value of $x^{2}$ ?

18

324

256

16

Question 9:

$\frac{\sin A+\sin B}{\cos A-\cos B}+\frac{\cos A+\cos B}{\sin A-\sin B}=?$

$\sin A \cos B$

$\tan A \tan B$

0

$\cos A \cos B$

Question 10:

If $\tan A=\frac{3}{4}$, then $\frac{(1+\cos A)(1-\cos A)}{(1+\sin A)(1-\sin A)}$= ?

$\frac{9}{25}$

$\frac{16}{25}$

$\frac{9}{16}$

$\frac{16}{9}$