Aptitude · all questions

Algebra
practice.

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

548

Questions

10/28

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Q181

Open question

a (2 + 3)

b (2 - 3)

= 1, then the value of

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

\frac{1}{b ^{2} + 1}

= ?

Select an option to see the answer and solution.

Q182

Open question

(2 + 3) a

(2 - 3) b

= 1 then the value of

\frac{1}{a}

\frac{1}{b}

is?

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Q183

Open question

a + \frac{1}{b}

b + \frac{1}{c}

c + \frac{1}{a}

(a \neq = b \neq = c)

then the value of abc is?

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Q184

Open question

\frac{x}{y} = \frac{4}{5},

then the value of

(\frac{4}{7} + \frac{2 y - x}{2 y + x})

is?

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Q185

Open question

If a + b = 12, ab = 22, then (a² + b²) is equal to?

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Q186

Open question

x

3 - \frac{1}{3}

and

y

3 + \frac{1}{3}

then the value of

\frac{x ^{2}}{y} + \frac{y ^{2}}{x}

is?

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Q187

Open question

If a + b + c + d = 4, then find the value of

\frac{1}{( 1 - a ) ( 1 - b ) ( 1 - c )}

\frac{1}{( 1 - b ) ( 1 - c ) ( 1 - d )}

\frac{1}{( 1 - c ) ( 1 - d ) ( 1 - a )}

\frac{1}{( 1 - d ) ( 1 - a ) ( 1 - b )}

is?

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Q188

Open question

a^{\frac{1}{3}} + b^{\frac{1}{3}} + c^{\frac{1}{3}} = 0,

then a relation among a, b, c is?

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Q189

Open question

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

then the value of

\frac{x ^{4} - \frac{1}{x ^{2}}}{3 x ^{2} + 5 x - 3}

= ?

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Q190

Open question

If x + y = 15, then the value of (x - 10)³ + (y - 5)³ is?

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Q191

Open question

x^{2} + \frac{1}{x ^{2}} = 66,

then the value of

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

= ?

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Q192

Open question

If a² + a + 1 = 0, then the value of a⁹ is?

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Q193

Open question

If x = -2k and y = 1 - 3k, then for what value of k, will be x = y?

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Q194

Open question

x + \frac{1}{x} = 5,

then

x^{6} + \frac{1}{x ^{6}}

is?

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Q195

Open question

If x² - 3x + 1 = 0, then the value of

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

will be?

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Q196

Open question

\frac{p}{a}

\frac{q}{b}

\frac{r}{c}

= 1 and

\frac{a}{p}

\frac{b}{q}

\frac{c}{r}

= 0 where p, q, r and a, b, c are non - zero, then value of

\frac{p ^{2}}{a ^{2}}

\frac{q ^{2}}{b ^{2}}

\frac{r ^{2}}{c ^{2}}

= ?

Select an option to see the answer and solution.

Q197

Open question

If x is a rational number and

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

= 2, then the sum of numerator and denominator of x is?

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Q198

Open question

x = 5 + 2,

then the value of

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

is equal to?

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Q199

Open question

If x² + y² + 1 = 2x, then the value of x³ + y⁵ is?

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Q200

Open question

If x(x - 3) = -1, then the value of x³(x³ - 18) is?

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Algebrapractice.

Algebra
practice.