Algebra MCQs

Question 1

If x 2 - 5x + 1 = 0, then the value of $$\left( {{x^4} + \frac{1}{{{x^2}}}} \right) \div \left( {{x^2} + 1} \right)$$ is:

Accepted Answer

22

Answer

21

Answer

25

Answer

24

Question 2

If 4x 2 - 6x + 1 = 0, then the value of $$8{x^3} + \frac{1}{{8{x^3}}}$$ is:

Accepted Answer

18

Answer

36

Answer

13

Answer

11

Question 3

If $$\frac{{2 + a}}{a}$$ + $$\frac{{2 + b}}{b}$$ + $$\frac{{2 + c}}{c}$$ = 4, then the value of $$\frac{{ab + bc + ca}}{{abc}}$$ is?

Accepted Answer

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

Answer

2

Answer

1

Answer

0

Question 4

If $$x = 5 + 2\sqrt 6 {	ext{,}}$$ then the value of $$\left( {\sqrt x + \frac{1}{{\sqrt x }}} ight)\,{	ext{is?}}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

If a 3 b = abc = 180, a, b, c are positive integers, then the value of c is?

Accepted Answer

1

Answer

110

Answer

4

Answer

25

Question 6

If $$\frac{a}{{1 - 2a}}$$ $$+$$ $$\frac{b}{{1 - 2b}}$$ $$+$$ $$\frac{c}{{1 - 2c}}$$ = $$\frac{1}{2}{	ext{,}}$$ then the value of $$\frac{1}{{1 - 2a}}$$ $$+$$ $$\frac{1}{{1 - 2b}}$$ $$+$$ $$\frac{1}{{1 - 2c}}$$ is?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 7

If $$\frac{a}{b} = \frac{{25}}{6}{	ext{,}}$$ then the value of $$\frac{{{a^2} - {b^2}}}{{{a^2} + {b^2}}}$$ is?

Accepted Answer

$$\frac{{589}}{{661}}$$

Answer

$$\frac{{589}}{{651}}$$

Answer

$$\frac{{661}}{{589}}$$

Answer

$$\frac{{625}}{{36}}$$

Question 8

If p(x + y) 2 = 5 and q(x - y) 2 = 3, then the simplified value of p 2 (x + y) 2 + 4pqxy - q 2 (x - y) 2 is?

Accepted Answer

2(p + q)

Answer

-(p + q)

Answer

-2(p + q)

Answer

p + q

Question 9

If for non-zero, x, x 2 - 4x - 1 = 0, the value of $${x^2} + \frac{1}{{{x^2}}}$$ is?

Accepted Answer

18

Answer

4

Answer

10

Answer

12