Aptitude · all questions

Algebra
practice.

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Q401

Open question

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

then the value of x¹² + x⁹ + x⁶ + x³ + 1 is:

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Q402

Open question

If (3 + 2√5)² = 29 + K√5, then what is the value of K?

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Q403

Open question

What is the simplified value of

\frac{( x + y + z ) ( x y + y z + z x ) - x y z}{( x + y ) ( y + z ) ( z + x )} ?

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Q404

Open question

If 3x² - 5x + 1 = 0, then the value of

(x^{2} + \frac{1}{9 x ^{2}})

is:

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Q405

Open question

x^{2} + \frac{1}{x ^{2}} = \frac{7}{4}

for x > 0 then what is the value of

x^{4} + \frac{1}{x ^{4}} .

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Q406

Open question

If a⁴ + 1 =

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

(4b² - b⁴ - 1), then what is the value of a⁴ + b⁴?

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Q407

Open question

If x₁x₂x₃ = 4(4 + x₁ + x₂ + x₃), then what is the value of

[\frac{1}{2 + x _{1}}] + [\frac{1}{2 + x _{2}}] + [\frac{1}{2 + x _{3}}] ?

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Q408

Open question

The value of

\frac{( 0.545 ) ( 0.081 ) ( 0.51 ) ( 5.2 )}{( 0.324 ) ^{3} + ( 0.221 ) ^{3} - ( 0.545 ) ^{3}} is:

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Q409

Open question

If x + y + z = 19, xy + yz + zx = 144, then the value of

x^{3} + y^{3} + z^{3} - 3 x y z

is:

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Q410

Open question

(a^{2} + b^{2} + ab) + (a^{2} + b^{2} - ab) = 1,

then what is the value of (1 - a²) (1 - b²) ?

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Q411

Open question

What is the value of

\frac{3.6 \times 1.62 + 0.48 \times 3.6}{1.8 \times 0.8 + 10.8 \times 0.3 - 2.16} ?

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Q412

Open question

If (a + b)² - 2(a + b) = 80 and ab = 16, then what can be the value of 3a - 19b?

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Q413

Open question

If x² - 3x + 1 = 0, then the value of

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

is:

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Q414

Open question

If a + b + c = 8 and ab + bc + ca = 12, then a³ + b³ + c³ - 3abc is equal to:

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Q415

Open question

a - \frac{1}{a} = b, b - \frac{1}{b} = c

and

c - \frac{1}{c} = a,

then what is the value

\frac{1}{ab} + \frac{1}{b c} + \frac{1}{c a} = ?

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Q416

Open question

If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x - y)² + (y - z)² + (z - x)²?

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Q417

Open question

x^{2} + \frac{1}{x ^{2}} = \frac{31}{9}

and x > 0, then what is the value of

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

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Q418

Open question

If x⁴ + x^-4 = 194, x > 0, then the value of (x - 2)² is:

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Q419

Open question

[a + \frac{1}{a}]^{2} - 2 [a - \frac{1}{a}] = 12,

then which of the following is a value of 'a'?

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Q420

Open question

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

then

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

is equal to:

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Algebrapractice.

Algebra
practice.