Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 35

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IMPORTANT

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If $a = \frac{b^{2}}{b - a}$ , then the value of $a^{3} + b^{3}$ is______.

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Important Questions on Elementary Algebra

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IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 36

The value of

\frac{4 x^{3} - x}{(2 x + 1) (6 x - 3)}

when

x = 9, 999

is:

EASY

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IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 37

If

a + b = 1, c + d = 1

and

a - b = \frac{d}{c}

, then the value of

c^{2} - d^{2}

is_____.

EASY

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IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 38

If

x = 3 t, y = \frac{1}{2} (t + 1)

, then the value of t for which

x = 2 y

is_____.

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IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 39

If

777 x + 666 y = 1, 110

and

666 x + 777 y = 333

, then the value of

x - y

is:

MEDIUM

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IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 40

If

x^{4} + \frac{1}{x^{4}} = 322

, then the value of

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

is:

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IMPORTANT

Quantitative Aptitude for Competitive Examinations>Chapter 28 - Elementary Algebra>Practice Problems Level 2>Q 41

If

x^{2} - 3 x + 1 = 0

, then the value of

\frac{x^{6} + x^{4} + x^{2} + 1}{x^{3}}

is:

MEDIUM

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IMPORTANT

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

If

a + b + c = 17

and

abc = 168

and

ab + bc + ca = 94

, then the value of

a^{3} + b^{3} + c^{3}

is:

MEDIUM

CAT

IMPORTANT

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: