Algebra MCQs

Question 1

For what value of k the expression $$p + \frac{1}{4} + \sqrt p + {k^2}$$ is perfect square?

Accepted Answer

0

Answer

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

Answer

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

Answer

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

Question 2

If $$2x + \frac{1}{{3x}} = 5{	ext{,}}$$ then the value of $$\frac{{5x}}{{6{x^2} + 20x + 1}}$$ is?

Accepted Answer

$$\frac{1}{7}$$

Answer

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

Answer

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

Answer

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

Question 3

The sum of $$\frac{1}{{x + y}}$$ and $$\frac{1}{{x - y}}$$ is?

Accepted Answer

$$\frac{{2x}}{{{x^2} - {y^2}}}$$

Answer

$$\frac{{2y}}{{{x^2} - {y^2}}}$$

Answer

$$\frac{{ - 2y}}{{{x^2} - {y^2}}}$$

Answer

$$\frac{{2x}}{{{y^2} - {x^2}}}$$

Question 4

If x, y, z are the three factors of a 3 - 7a - 6, then value of x + y + z will be?

Accepted Answer

3a

Answer

3

Answer

6

Answer

a

Question 5

If a - b = 4 and a 3 - b 3 = 88, then find the value of a 2 - b 2 .

Accepted Answer

8√6

Answer

6√6

Answer

9√6

Answer

7√6

Question 6

If x(x - 3) = -1, then the value of x 3 (x 3 - 18) is?

Accepted Answer

-1

Answer

2

Answer

1

Answer

0

Question 7

If $${p^2} + \frac{1}{{{p^2}}} = 47{	ext{,}}$$ then the value of $$p + \frac{1}{p}$$ is?

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 8

If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x - y) 2 + (y - z) 2 + (z - x) 2 ?

Accepted Answer

758

Answer

793

Answer

681

Answer

715

Question 9

If a 2 + b 2 + c 2 + 3 = 2(a - b - c), then the value of 2a - b + c is?

Accepted Answer

2

Answer

3

Answer

4

Answer

0