Aptitude · all questions

Algebra
practice.

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

548

Questions

8/28

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Q141

Open question

x = 3 + 22,

then the value of

x^{2} + \frac{1}{x ^{2}} is?

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Q142

Open question

x (3 - \frac{2}{x}) = \frac{3}{x},

then the value of

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

is?

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Q143

Open question

If x² - 3x + 1 = 0, then the value of

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

is?

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Q144

Open question

If a² + b² = 5ab, then the value of

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

is?

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Q145

Open question

If xy + yz + zx = 0, then

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

(x, y, z \neq = 0) = ?

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Q146

Open question

If a + b + c = 9 (where a, b, c are real numbers) then the minimum value of a² + b² + c² is?

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Q147

Open question

If a² + b² + 4c² = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a² + b² + c²) is?

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Q148

Open question

\frac{x - a ^{2}}{b + c}

\frac{x - b ^{2}}{c + a}

\frac{x - c ^{2}}{a + b}

= 4(a + b + c), then x = ?

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Q149

Open question

\frac{a}{b} = \frac{4}{5}

and

\frac{b}{c} = \frac{15}{16},

then

\frac{18 c ^{2} - 7 a ^{2}}{45 c ^{2} + 20 a ^{2}}

is equal to?

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Q150

Open question

x \neq = 0,

y \neq = 0

and

z \neq = 0

and

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

\frac{1}{y ^{2}}

\frac{1}{z ^{2}}

\frac{1}{x y}

\frac{1}{y z}

\frac{1}{z x}

then the relation among x, y, z is?

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Q151

Open question

If a + b = 1, c + d = 1 and a - b =

\frac{d}{c},

then the value of c² - d² = ?

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Q152

Open question

If x = 3t, y =

\frac{1}{2}

(t + 1), then the value of t for which x = 2y is?

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Q153

Open question

x^{2} + \frac{1}{5} x + a^{2}

is a perfect square, then a is?

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Q154

Open question

If (x - 1) and (x + 3) are the factors of x² + k₁x + k₂ then-

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Q155

Open question

\frac{5 x}{2 x ^{2} + 5 x + 1} = \frac{1}{3},

then the value of

(x + \frac{1}{2 x}) = ?

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Q156

Open question

x > 1

and

x^{2} + \frac{1}{x ^{2}} = 83,

then the

x^{3} - \frac{1}{x ^{3}} is?

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Q157

Open question

(a + \frac{1}{a})^{2} = 3

then

a^{3} + \frac{1}{a ^{3}} = ?

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Q158

Open question

If x + y + z = 6 and x² + y² + z² = 20, then the value of x³ + y³ + z³ - 3xyz is?

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Q159

Open question

If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x³ + y³ + z³ - 3xyz will be?

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Q160

Open question

If (x - a)(x - b) = 1 and a - b + 5 = 0, then the value of

(x - a)^{3}

\frac{1}{( x - a ) ^{3}}

is?

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Algebrapractice.

Algebra
practice.