Algebra MCQs

Question 1

If a + b = 1, find the value of a 3 + b 3 - ab - (a 2 - b 2 ) 2 = ?

Accepted Answer

0

Answer

1

Answer

-1

Answer

2

Question 2

If $$a + \frac{1}{b}$$ = $$b + \frac{1}{c}$$ = $$c + \frac{1}{a}$$ $$\left( {a 
e b 
e c} ight)$$ then the value of abc is?

Accepted Answer

$$ \pm {	ext{1}}$$

Answer

$$ \pm {	ext{2}}$$

Answer

0

Answer

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

Question 3

If x : y = 3 : 4, then the value of $$\frac{{5x - 2y}}{{7x + 2y}} = ?$$

Accepted Answer

$$\frac{7}{{29}}$$

Answer

$$\frac{7}{{25}}$$

Answer

$$\frac{7}{{23}}$$

Answer

$$\frac{7}{{17}}$$

Question 4

If $$p + \frac{1}{p} = 112,$$ find the value of $${\left( {p - 112} \right)^{15}} + \frac{1}{{{p^{15}}}} = ?$$

Accepted Answer

0

Answer

10

Answer

15

Answer

1

Question 5

If $$n = 7 + 4\sqrt 3 {	ext{,}}$$ then the value of $$\left( {\sqrt n + \frac{1}{{\sqrt n }}} ight)$$ is:

Accepted Answer

4

Answer

$${	ext{2}}\sqrt 3 $$

Answer

-4

Answer

$$ - 2\sqrt 3 $$

Question 6

3(a 2 + b 2 + c 2 ) = (a + b + c) 2 then the relation between a, b and c is ?

Accepted Answer

a = b = c

Answer

a = b ≠ c

Answer

a ≠ b ≠ c

Answer

a ≠ b = c

Question 7

If x = 5, then the value of the expression $${x^2} - 2 + \frac{1}{{{x^2}}}$$ is?

Accepted Answer

$$\frac{{576}}{{25}}$$

Answer

$$\frac{{24}}{{25}}$$

Answer

$$\frac{{24}}{5}$$

Answer

$$\frac{{625}}{{24}}$$

Question 8

If $$x + \frac{1}{x} = 8,$$ then find the value of $$\frac{{5x}}{{{x^2} + 1 - 6x}}.$$

Accepted Answer

2.5

Answer

6

Answer

5

Answer

6.5

Question 9

If $$\sqrt {0.04 	imes 0.4 	imes a} $$ = 0.004 × 0.4 × $$\sqrt b ,$$ then the value of $$\frac{a}{b}\,{	ext{is?}}$$

Accepted Answer

$${	ext{16}} 	imes {	ext{1}}{{	ext{0}}^{ - 5}}$$

Answer

$${	ext{16}} 	imes {	ext{1}}{{	ext{0}}^{ - 3}}$$

Answer

$${	ext{16}} 	imes {	ext{1}}{{	ext{0}}^{ - 4}}$$

Answer

$${	ext{16}} 	imes {	ext{1}}{{	ext{0}}^{ - 6}}$$