Aptitude · all questions

Algebra
practice.

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Q421

Open question

If 2x² + y² + 6x - 2xy + 9 = 0, then the value of (4x³ - y³ + x²y²) is:

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Q422

Open question

\frac{22 2}{4 2 - 3 + 5} = a + 5 b

with a, b > 0, then what is the value of (ab) : (a + b)?

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Q423

Open question

If 2x - y = 2 and xy =

\frac{3}{2},

then what is the value of

x^{3} - \frac{y ^{3}}{8} ?

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Q424

Open question

\frac{4 ( \frac{2 x}{5} - \frac{3}{2} )}{3} + \frac{7}{5} = \frac{37}{5}

then what is the value of x?

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Q425

Open question

If x = 3 + 2√2, then the value of

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

is:

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Q426

Open question

If p(x + y)² = 5 and q(x - y)² = 3 then the simplified value of p²(x + y)² + 4pqxy - q²(x - y)² is:

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Q427

Open question

If x³ - 6x² + ax + b is divisible by (x² - 3x + 2), then the values of a and b are:

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Q428

Open question

If x⁸ - 1442x⁴ + 1 = 0, then a possible value of

x - \frac{1}{x}

is:

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Q429

Open question

What is the value of 1006² - 1007 × 1005 + 1008 × 1004 - 1009 × 1003?

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Q430

Open question

The value of

\frac{0.0203 \times 2.92}{0.7 \times 0.0365 \times 2.9} \div \frac{( 12.12 ) ^{2} - ( 8.12 ) ^{2}}{( 0.25 ) ^{2} + ( 0.25 ) ( 19.99 )} is:

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Q431

Open question

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

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Q432

Open question

If x² + 8y² + 12y - 4xy + 9 = 0, then the value of (7x + 8y) is:

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Q433

Open question

If (x + y)³ + 8(x - y)³ = (3x + Ay)(3x² + Bxy + Cy²), then the value of A + B + C is:

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Q434

Open question

If a + b = 10 and

\frac{a}{b} - 13 = - \frac{b}{a} - 11

then what is the value of 3ab + 4a² + 5b²?

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Q435

Open question

If 16x² + 9y² + 4z² = 24(x - y + z) - 61, then the value of (xy + 2z) is:

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Q436

Open question

x = \frac{a}{b} + \frac{b}{a}, y = \frac{b}{c} + \frac{c}{b}

and

z = \frac{c}{a} + \frac{a}{c},

then what is the value of xyz - x² - y² - z²?

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Q437

Open question

x^{2} + \frac{1}{25 x ^{2}} = \frac{8}{5}

and x > 0, then what is the value of

x^{3} + \frac{1}{125 x ^{3}} = ?

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Q438

Open question

The graphs of the equations 3x - 20y - 2 = 0 and 11x - 5y + 61 = 0 intersect at P(a, b). What is the value of (a² + b² - ab)(a² - b² + ab)?

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Q439

Open question

If a + b + c =

\frac{7}{12},

3a - 4b + 5c =

\frac{3}{4}

and 7a - 11b - 13c =

- \frac{7}{12},

then what is the value of a + c?

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Q440

Open question

If (2x + 3)³ + (x - 8)³ + (x + 13)³ = (2x + 3)(3x - 24)(x + 13), what is the value of x?

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Algebrapractice.

Algebra
practice.