Aptitude · all questions

Algebra
practice.

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Q361

Open question

The value of

\frac{5.35 \times 5.35 \times 5.35 + 3.65 \times 3.65 \times 3.65}{53.5 \times 53.5 + 36.5 \times 36.5 - 53.5 \times 36.5} is:

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Q362

Open question

If 2x³ + ax² + bx - 2 leaves the remainders 7 and 0 when divided by (2x - 3) and (x + 2), respectively, then the values of a and b are respectively:

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Q363

Open question

If x² - 3x - 1 = 0, then the value of (x² + 8x - 1)(x³ + x^-1)^-1 is:

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Q364

Open question

If a + b + c = 3 and none of a, b and c is equal to 1, then what is the value of

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

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Q365

Open question

A =

\frac{x ^{8} - 1}{x ^{4} + 1}

and B =

\frac{y ^{4} - 1}{y ^{2} + 1} .

If x = 2 and y = 9, then what is the value of A² + 2AB + AB²?

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Q366

Open question

If x² - 12x + 33 = 0, then what is the value of (x - 4)² +

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

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Q367

Open question

If a + b = 8 and a + a²b + b + ab² = 128 then the positive value of a³ + b³ is:

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Q368

Open question

If x² + 16 = -4x, then what is the value of x³ - 64?

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Q369

Open question

If x + y = 1, then what is the value of x³ + 3xy + y³?

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Q370

Open question

x - \frac{3}{x} = 6, x \neq = 0,

then the value of

\frac{x ^{4} - \frac{27}{x ^{2}}}{x ^{2} - 3 x - 3}

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Q371

Open question

(0.4 x + \frac{1}{x}) = 5,

what is the value of

(0.064 x^{3} + \frac{1}{x ^{3}}) ?

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Q372

Open question

If x + y + z = 0, then what is the value of

\frac{x y + y z + z x}{x ^{2} + y ^{2} + z ^{2}} ?

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Q373

Open question

If P = 7 + 4√3 and PQ = 1, then what is the value of

\frac{1}{P ^{2}} + \frac{1}{Q ^{2}} ?

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Q374

Open question

55³ + 17³ - 72³ + 201960 is equal to

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Q375

Open question

If (a - b) = 4 and ab = 2, then (a³ - b³) is equal to:

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Q376

Open question

If x + y + z = 19, x² + y² + z² = 133 and xz = y², then the difference between z and x is:

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Q377

Open question

a - \frac{1}{a - 5} = 10

, then the value of

(a - 5)^{3} - \frac{1}{( a - 5 ) ^{3}}

is:

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Q378

Open question

If x² - 16x + 59 = 0, then what is the value of

(x - 6)^{2} + \frac{1}{( x - 6 ) ^{2}} ?

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Q379

Open question

If x = √5 + 1 and y = √5 - 1, then what is the value of

\frac{x ^{2}}{y ^{2}} + \frac{y ^{2}}{x ^{2}} + 4 [\frac{x}{y} + \frac{y}{x}] + 6 ?

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Q380

Open question

If a³ + 3a² + 9a = 1, then what is the value of

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

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Algebrapractice.

Algebra
practice.