Aptitude · all questions

Algebra
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

548

Questions

11/28

Page

Pick an option on a question to see the right answer and solution.

Q201

Open question

The factors of (a² + 4b² + 4b - 4ab - 2a - 8) are?

Select an option to see the answer and solution.

Q202

Open question

The value of

\frac{1}{a ^{2} + a x + x ^{2}}

-

\frac{1}{a ^{2} - a x + x ^{2}}

+

\frac{2 a x}{a ^{4} + a ^{2} x ^{2} + x ^{4}}

is?

Select an option to see the answer and solution.

Q203

Open question

If x = 11, then the value of x⁵ - 12x⁴ + 12x³ - 12x² + 12x - 1 is?

Select an option to see the answer and solution.

Q204

Open question

If x = 997, y = 998 and z = 999 then the value of x² + y² + z² - xy - yz - zx is?

Select an option to see the answer and solution.

Q205

Open question

x + \frac{1}{x} = 3,

then the value of

\frac{3 x ^{2} - 4 x + 3}{x ^{2} - x + 1}

is?

Select an option to see the answer and solution.

Q206

Open question

x = p + \frac{1}{p}

and

y = p - \frac{1}{p}

then the value of x⁴ - 2x²y² + y⁴ = ?

Select an option to see the answer and solution.

Q207

Open question

If a + b + c = 0, then the value of (a + b - c)² + (b + c - a)² + (c + a - b)² is?

Select an option to see the answer and solution.

Q208

Open question

If x = 2015, y = 2014, z = 2013, then the value of x² + y² + z² - xy - yz - zx is?

Select an option to see the answer and solution.

Q209

Open question

3 a^{2} = b^{2} \neq = 0,

then the value of

\frac{( a + b ) ^{3} - ( a - b ) ^{3}}{( a + b ) ^{2} + ( a - b ) ^{2}}

is?

Select an option to see the answer and solution.

Q210

Open question

The value of

\frac{4 x ^{3} - x}{( 2 x + 1 ) ( 6 x - 3 )}

when x = 9999 is?

Select an option to see the answer and solution.

Q211

Open question

If t² - 4t + 1 = 0, then the value of

t^{3} + \frac{1}{t ^{3}}

is?

Select an option to see the answer and solution.

Q212

Open question

\root 3 \of a + \root 3 \of b = \root 3 \of c,

then the simplest value of

(a + b - c)^{3}

27 ab c

is?

Select an option to see the answer and solution.

Q213

Open question

x = \root 3 \of a + a^{2} + b^{3}

\root 3 \of a - a^{2} + b^{3}

then

x^{3} + 3 b x

is equal to?

Select an option to see the answer and solution.

Q214

Open question

\frac{x ^{24} + 1}{x ^{12}} = 7,

then the value of

\frac{x ^{72} + 1}{x ^{36}} = ?

Select an option to see the answer and solution.

Q215

Open question

If x = 2 then the value of x³ + 27x² + 243x + 631 = ?

Select an option to see the answer and solution.

Q216

Open question

If 5x + 9y = 5 and 125x³ + 729y³ = 120, then the value of the product of x and y is?

Select an option to see the answer and solution.

Q217

Open question

x² + y² + z² = 2(x + z - 1), then the value of x³ + y³ + z³ = ?

Select an option to see the answer and solution.

Q218

Open question

x + \frac{1}{x} = 1,

then the value of

\frac{2}{x ^{2} - x + 2} = ?

Select an option to see the answer and solution.

Q219

Open question

x = \frac{5 - 3}{5 + 3}

and

y = \frac{5 + 3}{5 - 3}

then the value of

\frac{x ^{2} + x y + y ^{2}}{x ^{2} - x y + y ^{2}} = ?

Select an option to see the answer and solution.

Q220

Open question

Simplified value of

[(1 + \frac{1}{10 + \frac{1}{10}}) (1 + \frac{1}{10 + \frac{1}{10}}) - (1 - \frac{1}{10 + \frac{1}{10}}) (1 - \frac{1}{10 + \frac{1}{10}})]

\div

[(1 + \frac{1}{10 + \frac{1}{10}}) + (1 - \frac{1}{10 + \frac{1}{10}})]

= ?

Select an option to see the answer and solution.

Prev 9 10 11 12 13 Next

Algebrapractice.

Algebra
practice.