Algebra MCQs

Question 1

If $$x$$ = $$\sqrt 3 - \frac{1}{{\sqrt 3 }}$$ and $$y$$ = $$\sqrt 3 + \frac{1}{{\sqrt 3 }}$$ then the value of $$\frac{{{x^2}}}{y} + \frac{{{y^2}}}{x}$$ is?

Accepted Answer

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

Answer

$$\sqrt 3 $$

Answer

$${	ext{16}}\sqrt 3 $$

Answer

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

Question 2

If a 4 + 1 = $$\left[ {\frac{{{{	ext{a}}^2}}}{{{{	ext{b}}^2}}}} ight]$$ (4b 2 - b 4 - 1), then what is the value of a 4 + b 4 ?

Accepted Answer

2

Answer

16

Answer

32

Answer

64

Question 3

If x - 11, then the value of x 5 - 12x 4 + 12x 3 - 12x 2 + 12x - 1 is?

Accepted Answer

10

Answer

11

Answer

12

Answer

-10

Question 4

If x + y = 1, then what is the value of x 3 + 3xy + y 3 ?

Accepted Answer

1

Answer

-1

Answer

0

Answer

2

Question 5

If (2x + 3) 3 + (x - 8) 3 + (x + 13) 3 = (2x + 3)(3x - 24)(x + 13), what is the value of x?

Accepted Answer

-2

Answer

-2.5

Answer

-1

Answer

-1.5

Question 6

If $$\frac{{144}}{{0.144}} = \frac{{14.4}}{x}{	ext{,}}$$ then the value of x is?

Accepted Answer

0.0144

Answer

144

Answer

14.4

Answer

1.44

Question 7

If A = 1 + 2 P and B = 1 + 2 -P , then what is the value of B?

Accepted Answer

$$\frac{A}{{A - 1}}$$

Answer

$$\frac{{A + 1}}{{A - 1}}$$

Answer

$$\frac{{A + 2}}{{A + 1}}$$

Answer

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

Question 8

If x = $$2 - {2^{\frac{1}{3}}} + {2^{\frac{2}{3}}},$$ then find the value of x 3 - 6x 2 + 18x.

Accepted Answer

22

Answer

40

Answer

33

Answer

45

Question 9

If $$4x + \frac{1}{x} = 5,$$ $$x 
e 0{	ext{,}}$$ then the value of $$\frac{{5x}}{{4{x^2} + 10x + 1}}$$ is?

Accepted Answer

$$\frac{1}{3}$$

Answer

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

Answer

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

Answer

3