Algebra MCQs

Question 1

If $$\sqrt x $$ - $$\sqrt y $$ = 1, $$\sqrt x $$ + $$\sqrt y $$ = 17, then $$\sqrt {xy} $$ = ?

Accepted Answer

72

Answer

$$\sqrt {72} $$

Answer

32

Answer

24

Question 2

If 999x + 888y = 1332 and 888x + 999y = 555, then the value of x + y is?

Accepted Answer

1

Answer

888

Answer

555

Answer

999

Question 3

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

Accepted Answer

$${	ext{2}}\frac{4}{9}$$

Answer

$${	ext{2}}\frac{1}{9}$$

Answer

$${	ext{3}}\frac{1}{9}$$

Answer

$${	ext{3}}\frac{4}{9}$$

Question 4

If (5√5x 3 - 3√3y 3 ) ÷ (√5x - √3y) = (Ax 2 + By 2 + Cxy), then what is the value of (3A - B - $$\sqrt {15} $$ C)?

Accepted Answer

-3

Answer

12

Answer

8

Answer

-5

Question 5

If 2x 2 + y 2 + 6x - 2xy + 9 = 0, then the value of (4x 3 - y 3 + x 2 y 2 ) is:

Accepted Answer

0

Answer

9

Answer

-3

Answer

-9

Question 6

When x m is multiplied by x n , product is 1. The relation between m and n is?

Accepted Answer

m = -n

Answer

mn = 1

Answer

m + n = 1

Answer

m = n

Question 7

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

Accepted Answer

$$\sqrt 3 $$

Answer

$$ - \sqrt 3 $$

Answer

-1

Answer

1

Question 8

If x is real, $$x + \frac{1}{x} 
e 0$$ and $${x^3}{	ext{ + }}\frac{1}{{{x^3}}} = 0{	ext{,}}$$ then the value of $${\left( {x + \frac{1}{x}} ight)^4}\,{	ext{is?}}$$

Accepted Answer

9

Answer

4

Answer

16

Answer

25

Question 9

If m = -4, n = -2,then the value of m 3 - 3m 2 + 3m + 3n + 3n 2 + n 3 is?

Accepted Answer

-126

Answer

124

Answer

-124

Answer

126