Algebra MCQs

Question 1

If $$\frac{{\sqrt 7 - 2}}{{\sqrt 7 + 2}} = a\sqrt 7 + b{	ext{,}}$$ then the value of a is?

Accepted Answer

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

Answer

$$\frac{{11}}{3}$$

Answer

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

Answer

$$\frac{{ - 4\sqrt 7 }}{3}$$

Question 2

If $${\left( {\sqrt 5 } ight)^7} \div {\left( {\sqrt 5 } ight)^5} = {{	ext{5}}^{	ext{P}}}{	ext{,}}$$ then the value of P is?

Accepted Answer

1

Answer

5

Answer

2

Answer

$$\frac{3}{2}$$

Question 3

If a + b + c + d = 2, then the maximum value of (1 + a)(1 + b)(1 + c)(1 + d) is:

Accepted Answer

$$\frac{{81}}{{16}}$$

Answer

$$\frac{{91}}{9}$$

Answer

$$\frac{{63}}{{22}}$$

Answer

$$\frac{{54}}{{13}}$$

Question 4

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

Accepted Answer

0

Answer

4

Answer

2

Answer

3

Question 5

If $$x = {3^{\frac{1}{3}}} - {3^{ - \frac{1}{3}}}$$ value of $$3{x^3} + 9x$$ is?

Accepted Answer

8

Answer

9

Answer

27

Answer

16

Question 6

If $$\frac{{4x}}{3} + {	ext{2P}} = 12$$ for what value of P, x = 6?

Accepted Answer

2

Answer

6

Answer

4

Answer

1

Question 7

If $$\sqrt 3 + \frac{1}{{\sqrt 3 }}{	ext{,}}$$ then the value of $$\left( {x - \frac{{\sqrt {126} }}{{\sqrt {42} }}} ight)$$ $$\left( {x - \frac{1}{{x - \frac{{2\sqrt 3 }}{3}}}} ight)$$ is?

Accepted Answer

$$\frac{5}{6}$$

Answer

$${	ext{5}}\frac{{\sqrt 3 }}{6}$$

Answer

$$\frac{{2\sqrt 3 }}{3}$$

Answer

$$\frac{2}{3}$$

Question 8

The value of $${\left( {{x^{b + c}}} ight)^{b - c}}$$ $$ 	imes $$ $${\left( {{x^{c + a}}} ight)^{c - a}}$$ $$ 	imes $$ $${\left( {{x^{a + b}}} ight)^{a - b}}$$ is?

Accepted Answer

1

Answer

2

Answer

-1

Answer

0

Question 9

If $$x + \frac{1}{x} = \sqrt 3 {	ext{,}}$$ then the value of x 18 + x 12 + x 6 + 1 is?

Accepted Answer

0

Answer

1

Answer

2

Answer

3