SSC CGL MATHS QUIZ

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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:

यदि $a^{2} + b^{2} + c^{2} = 2 (a - b - c) - 3$ , तो $2 a - 3 b + 4 c$ का मान क्या होगा?

Question 2:

a + b + c = 0

, then the value of

\frac{a^{2} + b^{2} + c^{2}}{a^{2} + b c}

is-

यदि

a + b + c = 0

हो, तो

\frac{a^{2} + b^{2} + c^{2}}{a^{2} + b c}

का मान क्या है ?

-2

Question 3:

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

यदि $a - b = 10$ और $a^{2} + b^{2} = 90$ , तो $a b$ का मान है:

- 6

- 6

- 8

- 8

- 10

- 10

- 5

- 5

Question 4:

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

यदि $a^{2} + b^{2} = 40$ और $ab = 10$ तब $(\sqrt{a - b})^{2}$ का मान ज्ञात करें?

2 \sqrt{5}

2 \sqrt{5}

2 \sqrt{3}

2 \sqrt{3}

(a) and (b)

None

Question 5:

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

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

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

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

(a + b + c)

(a + b + c)

(a - b + c)

(a - b + c)

(a - b - c)

(a - b - c)

Question 6:

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

यदि $a^{2} + \frac{1}{a^{2}} = 18$ है, तो $a^{3} + \frac{1}{a^{3}}$ का मान ज्ञात कीजिये।

Question 7:

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

-7

-5

Question 8:

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

यदि $x + \frac{1}{x} = 3$ , तो $x^{3} + \frac{1}{x^{3}}$ किसके बराबर है:

2 \sqrt{3}

2 \sqrt{3}

12

12

18

18

\sqrt{15}

\sqrt{15}

Question 9:

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

$\frac{(952^{2} - 772^{2})}{952 + 772}$ का मान ज्ञात कीजिए।

135

252

195

180

Question 10:

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

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

2702

2686

2798

2698