SSC CGL MATHS QUIZ

Question 1:

If $a^{2}+b^{2}+c^{2}=2(a-b-c)-3$, then the value of $2 a-3 b+4 c$ is:

3

1

2

4

Question 2:

If $a+b+c=0$, then the value of $\frac{a^{2}+b^{2}+c^{2}}{a^{2}+b c}$ is-

-2

0

1

2

Question 3:

If $a-b=10$ and $a^{2}+b^{2}=90$, then the value of $ab$ is:

$-6$

$-8$

$-10$

$-5$

Question 4:

If $a^{2}+b^{2}=40$ and $a b=10$ then the value of $(\sqrt{a-b})^{2}$ is ?

$2 \sqrt{5}$

$2 \sqrt{3}$

(a) and (b)

None

Question 5:

$\frac{a^{3}+b^{3}+c^{3}-3 a b c}{(a-b)^{2}+(b-c)^{2}+(c-a)^{2}}=$ ?

$\frac{1}{2}(a+b+c)$

$(a+b+c)$

$(a-b+c)$

$(a-b-c)$

Question 6:

If $\mathrm{a}^{2}+\frac{1}{a^{2}}=18$, then find the value of $\mathrm{a}^{3}+\frac{1}{a^{3}}$

50

76

52

48

Question 7:

If a + b + c =6 , a³ + b³ + c³ – 3abc = 342 then what is the value of ab + bc + ca ?

8

-7

-5

5

Question 8:

If $x+\frac{1}{x}=3$, then $x^{3}+\frac{1}{x^{3}}$ is equal to :

$2\sqrt{3}$

$12$

$18$

$\sqrt{15}$

Question 9:

Find the value of $\frac{\left(952^{2}-772^{2}\right)}{952+772}$

135

252

195

180

Question 10:

If $x^{2}-4 x+1=0$ then $x^{6}+\frac{1}{x^{6}}=?$

2702

2686

2798

2698