Aptitude · all questions

Algebra
practice.

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Q301

Open question

Ratio of three numbers x, y, z are in 2, 3, 5 respectively and the sum of x, y, z is 80. If the number z is given by the equation z = ax - 8, then a is ?

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Q302

Open question

If (x - 2)(x - p) = x² - ax + 6, then the value of (a - p) is?

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Q303

Open question

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

y = a - \frac{1}{a},

(a > 0)

then the value of x⁴ + y⁴ - 2x²y² is?

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Q304

Open question

x = \root 3 \of x^{2} + 11 - 2,

then the value of x³ + 5x² + 12x is?

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Q305

Open question

p^{2} + \frac{1}{p ^{2}} = 47,

then the value of

p + \frac{1}{p}

is?

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Q306

Open question

The third proportional of the following numbers (x - y)², (x² - y²) = ?

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Q307

Open question

x + 5 = 5 + y

and x, y are positive integers, then the value of

\frac{x + y}{x + y}

is?

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Q308

Open question

If x, y and z are real numbers such that (x - 3)² + (y - 4)² + (z - 5)² = 0, then (x + y + z) is equal to?

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Q309

Open question

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

then the value of

\frac{5 x}{6 x ^{2} + 20 x + 1}

is?

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Q310

Open question

If a + b = 10 and ab = 21, then the value of (a - b)² is?

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Q311

Open question

If (x - 4)(x² + 4x + 16) = x³ - p, then p is equal to?

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Q312

Open question

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

x \neq = 0,

then the value of

\frac{5 x}{4 x ^{2} + 10 x + 1}

is?

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Q313

Open question

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

then the value of

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

is equal to?

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Q314

Open question

If x = 222, y = 223, z = 225, then the value of x³ + y³ + z³ - 3xyz is?

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Q315

Open question

If a + b + c = 0, then the value of a³ + b³ + c³ is?

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Q316

Open question

\frac{1}{p} + \frac{1}{q}

\frac{1}{p + q},

then the value of p³ - q³ is?

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Q317

Open question

If ab = 21 and

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

\frac{25}{4},

then the value of a² + b² + 3ab is?

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Q318

Open question

Given a - b = 2, a³ - b³ = 26, then (a + b)² is?

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Q319

Open question

If x + y + z = 9, then the value of (x - 4)³ + (y - 2)³ + (z - 3)³ - 3(x - 4)(y - 2)(z - 3) is?

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Q320

Open question

x + \frac{1}{9 x} = 4,

then

9 x^{2} + \frac{1}{9 x ^{2}}

is?

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Algebrapractice.

Algebra
practice.