Algebra MCQs

Question 1

If (135√5x 2 - 2√2y 3 ) ÷ (3√5x - √2y) = Ax 2 + By 2 + $$\sqrt {10} $$ Cxy, then the value of (A + B - 9C) is:

Accepted Answer

20

Answer

18

Answer

12

Answer

10

Question 2

If $$\left( {x + \frac{1}{x}} \right)$$ : $$\left( {x - \frac{1}{x}} \right)$$ = 5 : 3 the value of x is/are ?

Accepted Answer

±2

Answer

±1

Answer

±3`

Answer

0

Question 3

If $$\sqrt {\left( {{a^2} + {b^2} + ab} \right)} + \sqrt {\left( {{a^2} + {b^2} - ab} \right)} = 1,$$ then what is the value of (1 - a 2 ) (1 - b 2 ) ?

Accepted Answer

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

Answer

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

Answer

$$\frac{4}{7}$$

Answer

$$\frac{5}{4}$$

Question 4

If $$\frac{{a + b}}{c} = \frac{6}{5}$$ and $$\frac{{b + c}}{a} = \frac{9}{2},$$ then what is the value of $$\frac{{a + c}}{b}?$$

Accepted Answer

$$\frac{7}{4}$$

Answer

$$\frac{9}{5}$$

Answer

$$\frac{{11}}{7}$$

Answer

$$\frac{7}{{11}}$$

Question 5

If $$x = 3 + \sqrt 8 {	ext{,}}$$ then $${x^2} + \frac{1}{{{x^2}}}$$ is equal to?

Accepted Answer

34

Answer

38

Answer

36

Answer

30

Question 6

If x 3 - 6x 2 + ax + b is divisible by (x 2 - 3x + 2), then the values of a and b are:

Accepted Answer

a = 11 and b = -6

Answer

a = -11 and b = 6

Answer

a = -6 and b = -11

Answer

a = 6 and b = 11

Question 7

If x : y = 3 : 5 and x - y = -2, then the value of x + y is?

Accepted Answer

8

Answer

2

Answer

3

Answer

5

Question 8

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

Accepted Answer

$$\frac{b}{a}$$

Answer

$$\frac{a}{b}$$

Answer

1

Answer

-1

Question 9

The third proportional of the following numbers (x - y) 2 , (x 2 - y 2 ) = ?

Accepted Answer

(x - y) (x + y) 2

Answer

(x + y 3 ) (x + y 4 )

Answer

(x + y) 4 (x - y) 2

Answer

(x + y) 2 (x - y) 3