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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Q81

Open question

a^{\frac{1}{3}} = 11,

then the value of a² - 331a is?

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Q82

Open question

If a² + b² = 2 and c² + d² = 1, then the value of (ad - bc)² + (ac - bd)² is?

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Q83

Open question

x = \frac{4 ab}{a + b} a \neq = b,

the value of

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

\frac{x + 2 b}{x - 2 b}

is?

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Q84

Open question

m + \frac{1}{m - 2} = 4,

find the value of

(m - 2)^{2} + \frac{1}{( m - 2 ) ^{2}}

is?

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Q85

Open question

If a² + b² + 2b + 4a + 5 = 0, then the value of

\frac{a - b}{a + b} is?

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Q86

Open question

If a + b + c = 0, then the value of

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

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

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

= ?

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Q87

Open question

If x² + y² - 4x - 4y + 8 = 0, then the value of x - y is?

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Q88

Open question

If x = b + c - 2a, y = c + a - 2b, z = a + b - 2c, then the value of x² + y² - z² + 2xy is?

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Q89

Open question

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

then the value of x¹⁸ + x¹² + x⁶ + 1 is?

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Q90

Open question

x^{2} - 3 x + 1 = 0,

then the value of

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

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Q91

Open question

x + \frac{1}{4 x} = \frac{3}{2},

find the value of

8 x^{3} + \frac{1}{8 x ^{3}} = ?

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Q92

Open question

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

then the value of

8 x^{3} + \frac{1}{27 x ^{3}} is?

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Q93

Open question

If x + y = z, then the expression x³ + y³ - z³ + 3xyz will be equal to?

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Q94

Open question

If a³ - b³ - c³ - 3abc = 0, then -

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Q95

Open question

If a = 2.361, b = 3.263, and c = 5.624, then the value of a³ + b³ - c³ + 3abc is?

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Q96

Open question

If p = 124, then the value of

\root 3 \of p (p^{2} + 3 p + 3) + 1 = ?

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Q97

Open question

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

and x is real, then the value of

x^{17} + \frac{1}{x ^{19}} is?

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Q98

Open question

If x : y = 3 : 4, then the value of

\frac{5 x - 2 y}{7 x + 2 y} = ?

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Q99

Open question

\frac{2 p}{p ^{2} - 2 p + 1} = \frac{1}{4},

p ≠ 0 then the value of

p + \frac{1}{p} is?

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Q100

Open question

If a³b = abc = 180, a, b, c are positive integers, then the value of c is?

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Algebrapractice.

Algebra
practice.