SSC CGL MATHS BOOSTER QUIZ

Question 1:

Three number are in Arithmetic progression (AP) whose sum is 30 and the product is 910 , then smallest number in the Arithmetic progression is:

6

8

9

7

Question 2:

The Centroid of triangle $\mathrm{ABC}$ is $(3,-2)$ vertex $\mathrm{A}$ and $\mathrm{B}$ are $(-2,5)(4,-4)$ then find out the coordinates of vertex C?

$(6,7)$

$(7,7)$

$(7,-7)$

$(7,-6)$

Question 3:

What is the reflection of the point $(5,-3)$ in the line $\mathrm{y}=3$.

$(5,3)$

$(5,-6)$

$(-5,3)$

$(5,9)$

Question 4:

If $a+b+\sqrt{a b}=4$, then find $\frac{a+b-\sqrt{a b}}{a^{2}+b^{2}+a b}=?$

6

0.4

4

0.25

Question 5:

Find the value

$\frac{5 \sin ^{2} 30+\cos ^{2} 45^{\circ}-4 \tan ^{2} 30^{\circ}}{2 \sin 30^{\circ} \cos 30^{\circ}+\tan 45^{\circ}}$ is

$\frac{5}{6}(2-\sqrt{3})$

$\frac{5}{6}(2+\sqrt{3})$

$2-\sqrt{3}$

$\frac{1}{6}(2-\sqrt{3})$

Question 6:

If $\tan \theta=\frac{x}{y}$, then $\frac{x \sin \theta+y \cos \theta}{x \sin \theta-y \cos \theta}$ is equal to .

$\frac{x^{2}+y^{2}}{x^{2}-y^{2}}$

$\frac{x^{2}-y^{2}}{x^{2}+y^{2}}$

$\frac{x}{\sqrt{x^{2}+y^{2}}}$

$\frac{y}{\sqrt{x^{2}+y^{2}}}$

Question 7:

Find the value

$\frac{1}{5}+\frac{1}{45}+\frac{1}{117}+\ldots \ldots . .+\frac{1}{3965}$

$\frac{26}{16}$

$\frac{16}{65}$

$\frac{65}{16}$

$\frac{64}{65}$

Question 8:

The value of $\sqrt{6-\sqrt{17-2 \sqrt{72}}}$ is closest to

$2.7$

$2.4$

$2.1$

$2.9$

Question 9:

If $A=\left[\frac{3}{7}\right.$ of $\left.4 \frac{1}{5} \div \frac{18}{15}+\frac{17}{24}\right]$ of $\left[\frac{289}{16} \div\left(\frac{3}{4}+\frac{2}{3}\right)^{2}\right]$ then the value of $8 \mathrm{~A}$ is

159

163

164

132

Question 10:

The angles of elevation of the top of a tower from two points at a distance of $4 \mathrm{~m}$ and 9 $\mathrm{m}$ from the base of the tower and in the same straight line with it are complementary. The height of the tower is.

$4 \mathrm{~m}$

$7 \mathrm{~m}$

$9 \mathrm{~m}$

$6 \mathrm{~m}$