Aptitude · all questions

Algebra
practice.

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Q521

Open question

If a = 1 + √3, b = 1 - √3, then what is the value of a² + b²?

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Q522

Open question

A = \frac{0.216 + 0.008}{0.36 + 0.04 - 0.12}

and

B = \frac{0.729 - 0.027}{0.81 + 0.09 + 0.27},

then what is the value of (A² + B²)²?

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Q523

Open question

If 2x² - 7x + 5 = 0, then what is the value of

x^{2} + \frac{25}{4 x ^{2}} ?

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Q524

Open question

If 4pxy = (x + 2y)² - (x - 2y)², then what will be the value of p?

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Q525

Open question

If 3x² - 9x + 3 = 0, then what is the value of

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

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Q526

Open question

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

then what is the value of

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

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Q527

Open question

If 2x² + 5x + 1 = 0, then one of the value of

x - \frac{1}{2 x}

is:

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Q528

Open question

If x⁴ - 6x² - 1 = 0, then the value of

x^{6} - 5 x^{2} + \frac{5}{x ^{2}} - \frac{1}{x ^{6}} + 5

is:

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Q529

Open question

If a + b + c = -11, then what is the value of (a + 4)³ + (b + 5)³ + (c + 2)³ - 3(a + 4)(b + 5)(c + 2)?

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Q530

Open question

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

x ≠ 0, then what is the value of

\frac{x ^{6} + 3 x ^{3} - 1}{x ^{6} - 8 x ^{3} - 1} ?

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Q531

Open question

If a + a² + a³ - 1 = 0, then what is the value of

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

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Q532

Open question

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

then the value of

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

is equal to:

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Q533

Open question

\frac{x ^{8} + 1}{x ^{4}} = 14,

then the value of

\frac{x ^{12} + 1}{x ^{6}}

is:

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Q534

Open question

\frac{x + y}{z} = 2,

then what is the value of

[\frac{y}{y - z}] + [\frac{x}{x - z}] ?

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Q535

Open question

x + \frac{16}{x} = 8,

then the value of

x^{2} + \frac{32}{x ^{2}}

is:

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Q536

Open question

x + 3 y - \frac{2 z}{4} = 6, x + \frac{2}{3} (2 y + 3 z) = 33

and

\frac{1}{7}

(x + y + z) + 2z = 9 then what is the value of 46x + 131y?

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Q537

Open question

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

then the value of

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

is:

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Q538

Open question

If a + b = 5 and ab = 3, then (a³ + b³) is equal to:

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Q539

Open question

If (4a - 3b) = 1, ab =

\frac{1}{2}

where a > 0 and b > 0, what is the value of (64a³ + 27b³)?

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Q540

Open question

If (5√5x³ - 81√3y³) ÷ (√5x - 3√3y) = (Ax² + By² + Cxy), then the value of (6A + B -

15

C) is:

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Algebrapractice.

Algebra
practice.