Algebra MCQs

Question 1

If $$x + \frac{1}{x} = 99{	ext{,}}$$ find the value of $$\frac{{100x}}{{2{x^2} + 2 + 102x}}$$ is?

Accepted Answer

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

Answer

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

Answer

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

Answer

$$\frac{1}{4}$$

Question 2

If (8x 3 - 27y 3 ) ÷ (2x - 3y) = (Ax 2 + Bxy + Cy 2 ), then the value of (2A + B - C) is:

Accepted Answer

5

Answer

4

Answer

6

Answer

3

Question 3

If a 2x+2 = 1, where is a positive real number other than 1, then x is equal to?

Accepted Answer

-1

Answer

-2

Answer

0

Answer

1

Question 4

If $$\frac{{5x}}{{2{x^2} + 5x + 1}} = \frac{1}{3},$$ then the value of $$\left( {x + \frac{1}{{2x}}} \right) = \,?$$

Accepted Answer

5

Answer

15

Answer

10

Answer

20

Question 5

If the sum of square of two real numbers is 41, and their sum is 9. Then the sum of cubes of these two numbers is ?

Accepted Answer

189

Answer

169

Answer

209

Answer

198

Question 6

For what value (s) of a is $$x + \frac{1}{4}\sqrt x + {a^2}$$ a perfect square?

Accepted Answer

$$\frac{1}{8}$$

Answer

$$ \pm \frac{1}{{18}}$$

Answer

$$ - \frac{1}{5}$$

Answer

$$\frac{1}{4}$$

Question 7

Given that 10 0.48 = x, 10 0.70 = y and x z = y 2 , then the value of z is close to?

Accepted Answer

2.9

Answer

1.45

Answer

1.88

Answer

3.7

Question 8

$$p + \frac{1}{{p + 2}} = 1{	ext{,}}$$ Find the value of $${\left( {p + 2} ight)^3}$$ $$+$$ $$\frac{1}{{{{\left( {p + 2} ight)}^3}}}$$ $$-$$ 3 = ?

Accepted Answer

15

Answer

12

Answer

16

Answer

18

Question 9

The area (in sq. unit) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12 is?

Accepted Answer

6 sq. units

Answer

24 sq. units

Answer

12 sq. units

Answer

3 sq. units