SSC CGL MATHS QUIZ

Question 1:

If $x+y=15$ and $x y=45$, then what is the value of $x^{2}+y^{2}$?

170

135

225

240

Question 2:

If $\mathrm{a}=25, \mathrm{~b}=15, \mathrm{c}=-10$, then the value of $\frac{\alpha^{3}+b^{3}+c^{3}-3 a b c}{(a-b)^{2}+(b-c)^{2}+(c-a)^{2}}$ is:

$30$

$-15$

$-30$

$15$

Question 3:

If $27(x+y)^{3}-8(x-y)^{3}=(x+5 y)\left(A x^{2}+B y^{2}+C x y\right)$ then what is the value of $(A-B-C)$?

4

3

2

1

Question 4:

If $a^{2}+b^{2}=4 b+6 a-13$, Then what is the value of $a+b=?$

5

3

2

10

Question 5:

If $a+b+c=11, a b+b c+c a=3$ and a b c =-135, then what is the value of $a^{3}+b^{3}+c^{3} ?$

925

827

929

823

Question 6:

If $\sec \theta-\tan \theta=\frac{x}{y}$,then find the value of $\sin \theta$.

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

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

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

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

Question 7:

If $3 x+\frac{1}{2 x}=5$, then $8 x^{3}+\frac{1}{27 x^{3}}=?$

$\frac{820}{27}$

$\frac{945}{27}$

$\frac{731}{27}$

$\frac{973}{27}$

Question 8:

If $a+\frac{1}{a+2}=0$, then the value of $(a+2)^{3}+\frac{1}{(a+2)^{3}}$:

6

4

3

2

Question 9:

If $a+a^{2}+a^{3}+a^{4}-2=0$ then find the value of $a^{4}+\frac{2}{a}=$

6

4

3

5

Question 10:

If $x=4+\sqrt{15}$, what is the value of $\left(x^5+\frac{1}{x^5}\right)$ ?

30264

30248

24560

24568