Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 42

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If $a + b + c = 17$ and $abc = 168$ and $ab + bc + ca = 94$ , then the value of $a^{3} + b^{3} + c^{3}$ is:

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Important Questions on Elementary Algebra

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Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 43

If

x + y = 3 \sqrt{8}, x - y = \sqrt{2}

, then the value of

8 xy (x^{2} + y^{2})

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 44

If

a^{4} + b^{4} = a^{2} b^{2}

, then

a^{6} + b^{6}

is equal to:

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Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 45

If x is real,

x + \frac{1}{x} \neq 0

, and

x^{3} + \frac{1}{x^{3}} = 0

, then the value of

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

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 46

If

x + y + z = 10

, then the value of

(x - 5)^{3} + (y - 2)^{3} + (z - 3)^{3}

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 47

If

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

, then

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

is equal to:

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Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 48

If

a + b + c = 3, a^{2} + b^{2} + c^{2} = 6

and

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

, where

a, b, c \neq 0

, then

a b c

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 49

If

x + \frac{1}{x} = 2^{p - q}

, then the maximum value of

x^{1997} + \frac{1}{x^{2001}}

will be [given

(p - q \leq 1)

].

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Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 50

If

x = \sqrt[3]{2 + \sqrt{3}}

, then the value of

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

is: