Algebra MCQs

Question 1

If $$x + \frac{9}{x} = 6{	ext{,}}$$ then $$\left( {{x^2} + \frac{9}{{{x^2}}}} ight)$$ is equal to?

Accepted Answer

10

Answer

8

Answer

9

Answer

12

Question 2

If p = 999, then the value of $$oot 3 \of {p\left( {{p^2} + 3p + 3} ight) + 1} {	ext{ is?}}$$

Accepted Answer

1000

Answer

999

Answer

998

Answer

1002

Question 3

If $${4^{4x + 1}} = \frac{1}{{64}}{	ext{,}}$$ then the value of x is?

Accepted Answer

-1

Answer

$$\frac{1}{2}$$

Answer

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

Answer

$$ - \frac{1}{6}$$

Question 4

x 2 + y 2 + z 2 = 2(x + z - 1), then the value of x 3 + y 3 + z 3 = ?

Accepted Answer

2

Answer

-1

Answer

0

Answer

1

Question 5

If a 2 = b + c, b 2 = a + c, c 2 = b + a, then what will be the value of $$\frac{1}{{a + 1}}$$ + $$\frac{1}{{b + 1}}$$ + $$\frac{1}{{c + 1}}$$ ?

Accepted Answer

1

Answer

-1

Answer

2

Answer

0

Question 6

The reciprocal of $$x + \frac{1}{x}$$ is?

Accepted Answer

$$\frac{x}{{{x^2} + 1}}$$

Answer

$$\frac{x}{{x + 1}}$$

Answer

$$x - \frac{1}{x}$$

Answer

$$\frac{1}{x} + x$$

Question 7

If a + b + c = 0, then the value of (a + b - c) 2 + (b + c - a) 2 + (c + a - b) 2 is?

Accepted Answer

4(a 2 + b 2 + c 2 )

Answer

0

Answer

8abc

Answer

4(ab + bc + ca)

Question 8

If a 2 + b 2 + c 2 + 84 = 4(a - 2b + 4c), then $$\sqrt {ab - bc + ca} $$ is equal to:

Accepted Answer

$$2\sqrt {10} $$

Answer

$$4\sqrt {10} $$

Answer

$$\sqrt {10} $$

Answer

$$5\sqrt {10} $$

Question 9

If $${x^2} + \frac{1}{{{x^2}}} = 98{	ext{,}}$$ $$\left( {x > 0} ight){	ext{,}}$$ then the value of $$x^3 + \frac{1}{{{x^3}}}$$ is?

Accepted Answer

970

Answer

1030

Answer

-970

Answer

-1030