Aptitude · all questions

Algebra
practice.

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Q441

Open question

If (8x³ - 27y³) ÷ (2x - 3y) = (Ax² + Bxy + Cy²), then the value of (2A + B - C) is:

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Q442

Open question

If the equation k(21x² + 24) + rx + (14x² - 9) = 0
k(7x² + 8) + px + (2x² - 3) = 0 have both roots common, then the value of

\frac{p}{r}

is:

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Q443

Open question

If xy = -6 and x³ + y³ = 19 (x and y are integers), then what is the value of

\frac{1}{x ^{- 1}} + \frac{1}{y ^{- 1}} ?

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Q444

Open question

If a² + b² + c² + 84 = 4(a - 2b + 4c), then

ab - b c + c a

is equal to:

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Q445

Open question

The value of

\frac{( 4.6 ) ^{4} + ( 5.4 ) ^{4} + ( 24.84 ) ^{2}}{( 4.6 ) ^{2} + ( 5.4 ) ^{2} + 24.84}

is:

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Q446

Open question

If ab + bc + ca = 8 and a² + b² + c² = 20, then a possible value of

\frac{1}{2}

(a + b + c)[(a - b)² + (b - c)² + (c - a)²] is:

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Q447

Open question

If a² + b² + c² + 27 = 6(a + b + c), then what is the value of

\root 3 \of a^{3} + b^{3} - c^{3} ?

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Q448

Open question

If x² - √7x + 1 = 0, then what is the value of

x^{5} + \frac{1}{x ^{5}} ?

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Q449

Open question

x + \frac{1}{16 x} = 3,

then the value of

16 x^{3} + \frac{1}{256 x ^{3}}

is:

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Q450

Open question

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

then what is the value of

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

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Q451

Open question

The factors of x⁴ + x² + 25 are:

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Q452

Open question

The value of [(a² - b²)³ + (b² - c²)³ + (c² - a²)³] ÷ [(a - b)³ + (b - c)³ + (c - a)³] is equal to: (Given a ≠ b ≠ c).

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Q453

Open question

What is the value of

\frac{( a ^{2} + b ^{2} ) ( a - b ) - ( a ^{3} - b ^{3} )}{a ^{2} b - a b ^{2}} ?

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Q454

Open question

x^{4} + \frac{1}{x ^{4}} = 14159,

then the value of

x + \frac{1}{x}

is:

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Q455

Open question

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

then what is the value of

2 (\frac{1}{x})^{4} + (\frac{1}{x})^{5} ?

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Q456

Open question

If x = 32.5, y = 34.6 and z = 30.9, then the value x³ + y³ + z³ - 3xyz of is 0.98k, where k is equal to:

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Q457

Open question

\frac{a ^{2} + b ^{2} + c ^{2} - 1024}{ab - b c - c a} = - 2

and a + b = 5c, where c > 0, then the value of c is . . . . . . . .

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Q458

Open question

If x = 2 + √3, y = 2 - √3, z = 1 then what is the value of

\frac{x}{y z} + \frac{y}{x z} + \frac{z}{x y} + 2 [\frac{1}{x} + \frac{1}{y} + \frac{1}{z}] ?

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Q459

Open question

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

then the value of x is:

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Q460

Open question

If 9x² + y² = 37 and xy = 2, x, y > 0, then the value of (27x³ + y³) is:

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Algebrapractice.

Algebra
practice.