Algebra MCQs

Question 1

If $$x - \frac{1}{x} = 3{	ext{,}}$$ then the value of $${x^3} - \frac{1}{{{x^3}}}\,{	ext{is?}}$$

Accepted Answer

36

Answer

32

Answer

40

Answer

49

Question 2

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

Accepted Answer

0

Answer

1

Answer

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

Answer

2

Question 3

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

Accepted Answer

$${	ext{2}}\sqrt 3 $$

Answer

$${	ext{2}}\sqrt 2 $$

Answer

2

Answer

3

Question 4

If x 2 - 4x + 1 = 0, then what is the value of x 9 + x 7 - 194x 5 - 194x 3 ?

Accepted Answer

-4

Answer

4

Answer

1

Answer

-1

Question 5

The value of [(a 2 - b 2 ) 3 + (b 2 - c 2 ) 3 + (c 2 - a 2 ) 3 ] ÷ [(a - b) 3 + (b - c) 3 + (c - a) 3 ] is equal to: (Given a ≠ b ≠ c).

Accepted Answer

(a + b)(b + c)(c + a)

Answer

(a 2 + b 2 )(b 2 - c 2 )(c 2 - a 2 )

Answer

(a 2 + b 2 )(b 2 + c 2 )(c 2 + a 2 )

Answer

(a - b)(b - c)(c - a)

Question 6

If x and y are positive real numbers and xy = 8, then the minimum value of 2x + y is?

Accepted Answer

8

Answer

9

Answer

17

Answer

10

Question 7

If x = 222, y = 223, z = 225, then the value of x 3 + y 3 + z 3 - 3xyz is?

Accepted Answer

4690

Answer

4590

Answer

4950

Answer

4960

Question 8

If $$x = \frac{{\sqrt 3 }}{2}{	ext{,}}$$ then $$\frac{{\sqrt {1 + x} }}{{1 + \sqrt {1 + x} }}{	ext{ + }}$$ $$\frac{{\sqrt {1 - x} }}{{1 - \sqrt {1 - x} }}$$ is equal to?

Accepted Answer

$$\frac{2}{{\sqrt 3 }}$$

Answer

1

Answer

$${	ext{2}} - \sqrt 3 $$

Answer

2

Question 9

If $${\left[ {a + \frac{1}{a}} \right]^2} - 2\left[ {a - \frac{1}{a}} \right] = 12,$$ then which of the following is a value of 'a'?

Accepted Answer

None of these

Answer

-8 + √3

Answer

-8 - √3

Answer

-8 + √5