Algebra MCQs

Question 1

If $$x - \frac{3}{x} = 6,\,x 
e 0,$$ then the value of $$\frac{{{x^4} - \frac{{27}}{{{x^2}}}}}{{{x^2} - 3x - 3}}$$

Accepted Answer

90

Answer

80

Answer

270

Answer

54

Question 2

The graph of linear equation y = x passes throughout the point ?

Accepted Answer

$$\left( {1,1} \right)$$

Answer

$$\left( {\frac{3}{2}, - \frac{3}{2}} \right)$$

Answer

$$\left( {0, - \frac{3}{2}} \right)$$

Answer

$$\left( { - \frac{1}{2},\frac{1}{2}} \right)$$

Question 3

If 2, 0 is a solution of the linear equation 2x + 3y = k, then the value of k is?

Accepted Answer

4

Answer

6

Answer

5

Answer

2

Question 4

If $${p^2} + {q^2} = 7pq{	ext{,}}$$ then the value of $$\frac{p}{q}{	ext{ + }}\frac{q}{p}$$ is equal to?

Accepted Answer

7

Answer

9

Answer

5

Answer

3

Question 5

If (x - 1) and (x + 3) are the factors of x 2 + k 1 x + k 2 then-

Accepted Answer

k 1 = 2, k 2 = -3

Answer

k 1 = -2, k 2 = -3

Answer

k 1 = -2, k 2 = 3

Answer

k 1 = 2, k 2 = 3

Question 6

If the equation k(21x 2 + 24) + rx + (14x 2 - 9) = 0 k(7x 2 + 8) + px + (2x 2 - 3) = 0 have both roots common, then the value of $$\frac{p}{r}$$ is:

Accepted Answer

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

Answer

$$\frac{2}{5}$$

Answer

$$\frac{7}{5}$$

Answer

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

Question 7

If x 1 x 2 x 3 = 4(4 + x 1 + x 2 + x 3 ), then what is the value of $$\left[ {\frac{1}{{2 + {x_1}}}} \right] + \left[ {\frac{1}{{2 + {x_2}}}} \right] + \left[ {\frac{1}{{2 + {x_3}}}} \right]?$$

Accepted Answer

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

Answer

1

Answer

2

Answer

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

Question 8

If $$\frac{a}{3} = \frac{b}{2}{	ext{,}}$$ then the value of $$\frac{{2a + 3b}}{{3a - 2b}}\,{	ext{is?}}$$

Accepted Answer

$$\frac{{12}}{5}$$

Answer

$$\frac{5}{{12}}$$

Answer

1

Answer

$$\frac{{12}}{7}$$

Question 9

If a + b = 12, ab = 22, then (a 2 + b 2 ) is equal to?

Accepted Answer

100

Answer

188

Answer

144

Answer

34