Aptitude · all questions

Algebra
practice.

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548

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Q321

Open question

If a = 2, b = -3, then the value of 27a³ - 54a²b + 36ab² - 8b³ is?

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Q322

Open question

a^{3} + \frac{1}{a ^{3}} = 2,

then the value of

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

is (a positive number) ?

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Q323

Open question

\frac{a}{q - r}

\frac{b}{r - p}

\frac{c}{p - q},

find the value of pa + qb + rc is?

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Q324

Open question

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

the value of

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

= ?

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Q325

Open question

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

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

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

\frac{1}{k},

(k \neq = 0)

then k = ?

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Q326

Open question

2 x + \frac{2}{9 x} = 4,

then the value of

27 x^{3} + \frac{1}{27 x ^{3}}

is?

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Q327

Open question

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

then the value of

\frac{x - 1}{x}

is?

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Q328

Open question

If pq(p + q) = 1, then the value of

\frac{1}{p ^{3} q ^{3}}

p^{3}

q^{3},

is equal to?

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Q329

Open question

If p³ - q³ = (p - q){(p + q)² - xpq}, then the value of x is?

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Q330

Open question

x = (0.25)^{\frac{1}{2}},

y = (0.4)^{2},

z = (0.216)^{\frac{1}{2}}

then-

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Q331

Open question

x^{2} + y^{2} = 29

and xy = 10 where x > 0, y > 0, x > y, then the value of

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

is?

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Q332

Open question

p^{2} + q^{2} = 7 pq,

then the value of

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

is equal to?

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Q333

Open question

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

value of

3 x^{3} + 9 x

is?

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Q334

Open question

If xy(x + y) = m, then the value of x³ + y³ + 3m is?

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Q335

Open question

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

Find the value of

(p + 2)^{3}

+

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

-

3 = ?

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Q336

Open question

x + \frac{1}{x} \neq = 0

and

x^{3} + \frac{1}{x ^{3}} = 0,

then the value

(x + \frac{1}{x})^{4}

is?

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Q337

Open question

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

then

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

is equal to?

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Q338

Open question

If x + y = √3 and x - y = √2, then the value of 8xy(x² + y²) is?

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Q339

Open question

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

(x - \frac{1}{x})

= 5 : 3 the value of x is/are ?

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Q340

Open question

If p³ - q³ = (p - q){(p -q)² + xpq}, then the value of x is?

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Algebrapractice.

Algebra
practice.