Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 20

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If $(a - b) = 3, (b - c) = 5$ ,and $(c - a) = 1$ , then what will be the value of $(a^{3} + b^{3} + c^{3} - 3 a b c) / (a + b + c) ?$

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Important Questions on Advance Maths

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 21

If $x + 1 / x = \sqrt 20,$ then value of $x^{3} - \frac{1}{x^{3}}$ is-

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 22

If

x + y + z = 13

and

x^{2} + y^{2} + z^{2} = 69

then find the value of

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

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 23

If the equation

(1 + m^{2}) x^{2} + 2 m c + c^{2} - a^{2} = 0

Has equal roots, then find the value of

a^{2} (1 + m^{2})

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 24

If

x = 111

then find the value of

x (x^{2} - 3 x + 3)

.

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 25

What is the minimum value of

(x - 3) (x - 5) .

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 26

If

a^{2} + b^{2} + c^{2} = 2 (a - b - c) - 3

then find the value of

(a - b + c) :

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 27

If

x = 2 + \sqrt 3

, then find the value of

x^{3} / (x^{6} + 3 x^{3} + 1)

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 28

If

(x ³ - y ³) : (x ² + x y + y ²) = 5 : 1

and

(x ² - y ²) : (x - y) = 7 : 1,

then the ratio

2 x : 3 y

Equals to?