Algebra MCQs

Question 1

Given a - b = 2, a 3 - b 3 = 26, then (a + b) 2 is?

Accepted Answer

16

Answer

9

Answer

4

Answer

12

Question 2

If x + y = 7, then the value of x 3 + y 3 + 21xy is?

Accepted Answer

343

Answer

243

Answer

143

Answer

443

Question 3

If a = 2, b = -3, then the value of 27a 3 - 54a 2 b + 36ab 2 - 8b 3 is?

Accepted Answer

1728

Answer

1562

Answer

1616

Answer

1676

Question 4

If x = 3 + 2√2, then the value of $${x^2} + \frac{1}{{{x^2}}}$$ is:

Accepted Answer

34

Answer

30

Answer

36

Answer

32

Question 5

If $$x - \frac{1}{x} = 4{	ext{,}}$$ then $$\left( {x + \frac{1}{x}} ight)$$ is equal to?

Accepted Answer

$${	ext{2}}\sqrt 5 $$

Answer

$${	ext{5}}\sqrt 2 $$

Answer

$${	ext{4}}\sqrt 2 $$

Answer

$${	ext{4}}\sqrt 5 $$

Question 6

If x = z = 225 and y = 226, then the value of x 3 + y 3 + z 3 - 3xyz = ?

Accepted Answer

676

Answer

765

Answer

674

Answer

576

Question 7

If $${x^2} - 3x + 1 = 0,$$ then the value of $${x^3}{	ext{ + }}\frac{1}{{{x^3}}}\,{	ext{is?}}$$

Accepted Answer

18

Answer

9

Answer

27

Answer

1

Question 8

If $$x = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$ and $${	ext{y}} = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}{	ext{,}}$$ then the value of $$\frac{{{x^2} + xy + {y^2}}}{{{x^2} - xy + {y^2}}}$$ is?

Accepted Answer

$$\frac{4}{3}$$

Answer

$$\frac{3}{4}$$

Answer

$$\frac{5}{3}$$

Answer

$$\frac{3}{5}$$

Question 9

If $$m + \frac{1}{{m - 2}} = 4{	ext{,}}$$ find the value of $${\left( {m - 2} ight)^2}{	ext{ + }}\frac{1}{{{{\left( {m - 2} ight)}^2}}}$$ is?

Accepted Answer

2

Answer

-2

Answer

0

Answer

4