SSC CGL MATHS QUIZ

Question 1:

In a triangle $\mathrm{ABC}, \mathrm{AC}=20 \mathrm{~cm}, \mathrm{BC}=10 \mathrm{~cm}$ and $\angle B=60^{\circ}$, then find the value of $\angle A$.

$\sin ^{-1}\left(\frac{\sqrt{3}}{8}\right)$

$\sin ^{-1}\left(\frac{\sqrt{5}}{6}\right)$

$\sin ^{-1}\left(\frac{\sqrt{3}}{4}\right)$

None of these.

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:

$\tan 22 \frac{1}{2}^{\circ}$ equals:

$\sqrt{2}+1$

$\sqrt{2}-1$

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

$\sqrt{2}+1+2 \sqrt{2}$

Question 4:

$\sqrt{2+\sqrt{2+2 \cos 4 x}}$ is equal to.

$2 \cos x$

$\cos ^{2} x$

$2 \cos 2 x$

$2 \cos ^{2} x$

Question 5:

Value of $\frac{1-4 \sin 10^{\circ} \cdot \sin 70^{\circ}}{2 \sin 10^{\circ}}$ equals.

1

3

2

4

Question 6:

In the given figure, find the area?

$\frac{135 \sqrt{3}}{4}$

$\frac{145 \sqrt{3}}{4}$

$\frac{120 \sqrt{3}}{7}$

$\frac{145 \sqrt{5}}{7}$

Question 7:

In the given figure, if $\mathrm{AB}=\mathrm{AC}=8 \mathrm{~cm}, \mathrm{BC}=$ $11 \mathrm{~cm}$ and $\mathrm{BD}=7 \mathrm{~cm}$, then find $\mathrm{AD}=$ ?

$6 \mathrm{~cm}$

$5.5 \mathrm{~cm}$

$4 \mathrm{~cm}$

$7 \mathrm{~cm}$

Question 8:

If in a triangle $\Delta \mathrm{ABC}, \operatorname{acos}^{2}\left(\frac{C}{2}\right)+\operatorname{ccos}^{2}\left(\frac{A}{2}\right)$

$=\frac{3 b}{2}$, then the side's a, b and c are.

satisfy $a+b=c$

A.P

G.P

H.P

Question 9:

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 10:

If $0<\alpha<\frac{\pi}{2}$ then $\tan \alpha+\tan 2 \alpha+\tan 3 \alpha=0$ if

$\tan 3 \alpha=0$

$\tan \alpha \cdot \tan 2 \alpha=2$

Both a and b are correct

Neither of a and b is correct