Aptitude · all questions

Algebra
practice.

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

548

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Q161

Open question

2 x + \frac{2}{x} = 3,

then the value of

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

is?

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Q162

Open question

If a + b + c = 15 and a² + b² + c² = 83 then the value of a³ + b³ + c³ - 3abc = ?

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Q163

Open question

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

then

(x + 1)^{5}

\frac{1}{( x + 1 ) ^{5}}

equals?

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Q164

Open question

If a + b + c = 0, then a³ + b³ + c³ is equal to?

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Q165

Open question

If x = y = 333 and z = 334, then the value of x³ + y³ + z³ - 3xyz is?

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Q166

Open question

a = \frac{b ^{2}}{b - a},

then the value of a³ + b³ is?

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Q167

Open question

If x = -1, then the value of

\frac{1}{x ^{99}}

\frac{1}{x ^{98}}

\frac{1}{x ^{97}}

\frac{1}{x ^{96}}

\frac{1}{x ^{95}}

\frac{1}{x ^{94}}

\frac{1}{x}

- 1 is?

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Q168

Open question

\frac{1}{\root 3 \of 4 + \root 3 \of 2 + 1}

a \root 3 \of 4

b \root 3 \of 2

+ c and a, b, c are rational numbers then a + b + c is equal to?

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Q169

Open question

x = \root 3 \of 2 + 3,

then the value of

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

is?

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Q170

Open question

The simplest form of the expression

\frac{p ^{2} - p}{2 p ^{3} + p ^{2}}

\frac{p ^{2} - 1}{p ^{2} + 3 p}

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

= ?

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Q171

Open question

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

then the value of

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

is?

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Q172

Open question

If the equation 2x² - 7x + 12 = 0 has two roots

α

and

β

, then the value of

\frac{α}{β} + \frac{β}{α} is?

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Q173

Open question

x^{3} + \frac{3}{x}

4 (a^{3} + b^{3})

and

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

4 (a^{3} - b^{3}),

then a² - b² is equal to?

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Q174

Open question

The graph of 2x + 1 = 0 and 3y - 9 = 0 intersect at the point?

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Q175

Open question

The term to be added to 121a² + 64b² to make a perfect square is?

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Q176

Open question

a = 2 + 3,

then the value of

(a^{2} + \frac{1}{a ^{2}}) = ?

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Q177

Open question

For what value of k the expression

p + \frac{1}{4} + p + k^{2}

is perfect square?

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Q178

Open question

\frac{b - c}{a}

\frac{a + c}{b}

\frac{a - b}{c}

= 1 and a - b + c ≠ 0 then which one of the following relations is true ?

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Q179

Open question

The reciprocal of

x + \frac{1}{x}

is?

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Q180

Open question

If a, b, c are positive and a + b + c = 1, then the least value of

\frac{1}{a}

\frac{1}{b}

\frac{1}{c}

is?

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Algebrapractice.

Algebra
practice.