Question : If $2 : 9 :: 4 : x$ , then the value of $x$ is:
Option 1: 42
Option 2: 18
Option 3: 36
Option 4: 22

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Question : If $x^{2} + \frac{1}{x^{2}} = 1$ , then, what is the value of $x^{48} + x^{42} + x^{36} + x^{30} + x^{24} + x^{18} + x^{12} + x^{6} + 1$ ?

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Answer 1

Correct Answer: 18

Solution : Given:
$2 : 9 :: 4 : x$
$\Rightarrow \frac{2}{9} = \frac{4}{x}$
$\Rightarrow 2 x = 36$
$\Rightarrow x = \frac{36}{2}$
$∴ x = 18$
Hence, the correct answer is 18.

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Question : If 2:9::4:x, then the value of x is:Option 1: 42Option 2: 18Option 3: 36Option 4: 22

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Question : If $2 : 9 :: 4 : x$ , then the value of $x$ is:
Option 1: 42
Option 2: 18
Option 3: 36
Option 4: 22