Aptitude · all questions

Algebra
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

548

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Q241

Open question

The area (in sq. unit) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12 is?

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Q242

Open question

If x = 5, then the value of the expression

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

is?

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Q243

Open question

If x = 2, y = 1 and z = -3, then x³ + y³ + z³ - 3xyz is equal to?

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Q244

Open question

The sum of

\frac{1}{x + y}

and

\frac{1}{x - y}

is?

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Q245

Open question

If x + y = 2a, then the value of

\frac{a}{x - a}

+

\frac{a}{y - a}

is?

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Q246

Open question

If x + y + z = 6 and xy + yz + zx = 10, then the value of x³ + y³ + z³ - 3xyz is?

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Q247

Open question

\frac{x + 1}{x - 1} = \frac{a}{b}

and

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

then the value of

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

is?

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Q248

Open question

If a² + b² + c² - ab - bc - ca = 0 then a : b : c is?

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Q249

Open question

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

then the value of the following is

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

= ?

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Q250

Open question

If x = a(b - c), y = b(c - a), z = c(a - b), then the value of

(\frac{x}{a})^{3}

(\frac{y}{b})^{3}

(\frac{z}{c})^{3}

is?

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Q251

Open question

\frac{x}{y} = \frac{a + 2}{a - 2},

then the value of

\frac{x ^{2} - y ^{2}}{x ^{2} + y ^{2}}

= ?

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Q252

Open question

If x = y = z, then

\frac{( x + y + z ) ^{2}}{x ^{2} + y ^{2} + z ^{2}}

is?

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Q253

Open question

If x(x + y + z) = 20, y = (x + y + z) = 30 & z(x + y + z) = 50, then the value of 2(x + y + z) is?

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Q254

Open question

If a² + b² + c² = 2(a - b - c) -3, then the value of a + b + c is?

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Q255

Open question

If x + y = 4, x² + y² = 14 and x > y. Then the correct value of x and y is?

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Q256

Open question

The simplified value of following is:

(\frac{3}{15} a^{5} b^{6} c^{3} \times \frac{5}{9} a b^{5} c^{4})

\div

\frac{10}{27} a^{2} b c^{3}

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Q257

Open question

a = \frac{3 - 2}{3 + 2}

and

b = \frac{3 + 2}{3 - 2},

then the value of

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

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

= ?

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Q258

Open question

\frac{a}{b} = \frac{25}{6},

then the value of

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

is?

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Q259

Open question

If 2, 0 is a solution of the linear equation 2x + 3y = k, then the value of k is?

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Q260

Open question

The graph of linear equation y = x passes throughout the point ?

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Algebrapractice.

Algebra
practice.