Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 29

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IMPORTANT

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If $2 x + 3 y + 1 = 0,$ then what is the value of $(8 x^{3} + 8 + 27 y^{3} - 18 x y) ?$

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Important Questions on Advance Maths

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IMPORTANT

Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 30

If

a^{4} + b^{4} + a^{2} b^{2} = 273 and a^{2} + b^{2} - a b = 21,

then one of the values of

(\frac{1}{a} + \frac{1}{b})

is:

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 31

If

9 (a^{2} + b^{2}) + c^{2} + 20 = 12 (a + 2 b)

, then the value of

\sqrt{6 a + 9 b + 2 c}

is

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 32

If $\sqrt{x} - \frac{1}{\sqrt{x}} = \sqrt{7}$ then the value of $x^{2} + \frac{1}{x^{2}}$ is:

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 33

If $\frac{x}{y} + \frac{y}{x} = 2, (x, y \neq 0)$ , then the value of $(x - y)$ is

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 34

If

(56 \sqrt{7} x^{3} - 2 \sqrt{2} y^{3}) \div (2 \sqrt{7} x - \sqrt{2} y) = {Ax}^{2} + {By}^{2} - Cxy

, then find the value of

A + B - \sqrt{14} C .

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 35

If

2 x^{2} - 7 x + 5 = 0,

then what is the value of

x^{3} + \frac{125}{8 x^{3}} ?

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Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 36

If

(x + \frac{1}{x}) = \frac{17}{4}, x > 1

,then what is the value of

x - \frac{1}{x} ?

EASY

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IMPORTANT

Embibe Quantitative Aptitude>Chapter 2 - Advance Maths>Exercise 1>Q 37

If

x^{4} - 62 x^{2} + 1 = 0

, where

x > 0

, then the value of

x^{3} + x^{- 3}

is: