Aptitude · all questions

Algebra
practice.

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Q341

Open question

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

then the value of a¹⁸ + a¹² + a⁶ + 1 is?

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Q342

Open question

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double of remainder. If the remainder is 80, then the value of x is?

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Q343

Open question

If p = 99, then the value of p(p² + 3p + 3) is?

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Q344

Open question

If the sum of square of two real numbers is 41, and their sum is 9. Then the sum of cubes of these two numbers is ?

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Q345

Open question

A complete factorisation of x⁴ + 64 is?

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Q346

Open question

The simplified value of

(1 - \frac{2 x y}{x ^{2} + y ^{2}})

\div

(\frac{x ^{3} - y ^{3}}{x - y} - 3 x y)

is?

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Q347

Open question

If x² + y² + 2x +1 = 0, then the value of x³¹ + y³⁵ is?

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Q348

Open question

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

and

y = \frac{5 - 1}{5 + 1},

then the value of

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

is?

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Q349

Open question

If x⁴ + 2x³ + ax² + bx + 9 is a perfect square where a and b are positive real numbers, then the value of a and b is?

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Q350

Open question

If a² + b² + c² = 16, x² + y² + z² = 25 and ax + by + cz = 20 then the value of

\frac{a + b + c}{x + y + z}

= ?

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Q351

Open question

If a³ = 117 + b³ and a = 3 + b, then the value of a + b is?

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Q352

Open question

x^{2} + \frac{1}{x ^{2}} = 98,

(x > 0),

then the value of

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

is?

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Q353

Open question

If x = y + z then x³ - y³ - z³ is?

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Q354

Open question

If a + b + c + d = 4, then the value of

\frac{1}{( 1 - a ) ( 1 - b ) ( 1 - c )}

\frac{1}{( 1 - b ) ( 1 - c ) ( 1 - d )}

\frac{1}{( 1 - c ) ( 1 - d ) ( 1 - a )}

\frac{1}{( 1 - d ) ( 1 - a ) ( 1 - b )}

is?

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Q355

Open question

If x - 11, then the value of x⁵ - 12x⁴ + 12x³ - 12x² + 12x - 1 is?

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Q356

Open question

a + \frac{1}{b}

b + \frac{1}{c}

c + \frac{1}{a}

(where a ≠ b ≠ c), then abc is equal to?

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Q357

Open question

If x, y, z are the three factors of a³ - 7a - 6, then value of x + y + z will be?

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Q358

Open question

If p³ + q³ + r³ - 3pqr = 4, and a = q + r, b = r + p and c = p + q, then what is the value of a³ + b³ + c³ - 3abc?

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Q359

Open question

If x =

a + \frac{1}{a}

and y =

a - \frac{1}{a}

then

x^{4} + y^{4} - 2 x^{2} y^{2}

is equal to:

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Q360

Open question

If x⁴ + y⁴ + x² + y² =

17 \frac{1}{16}

and x² - xy + y² =

5 \frac{1}{4},

then one of the values of (x - y) is:

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Algebrapractice.

Algebra
practice.