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Quantitative Aptitude

Base Systems

If x: y=5: 4,...

Question

If (x : y) = 5:4, then $(x^{2} - y^{2}) : (x^{2} + y^{2})$ is

A

25:16

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B

16: 25

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C

9: 41

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D

41:9

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E

6: 27

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Solution

The correct option is C
9: 41

Substituting the values of x and y
= (25-16):(25+16)
= 9:41

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Similar questions

(x : y)

(x^{2} - y^{2}) : (x^{2} + y^{2})

Q. If x: y = 4: 3, then

\frac{x y + y^{2}}{x^{2} - y^{2}}

will be equal to:

x : y = 7 : 3,

then the value of

\frac{x y + y^{2}}{x^{2} - y^{2}}

\frac{x^{2} + y^{2}}{x^{2} - y^{2}} = \frac{17}{8}

, then find the value of

x : y

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

, then the value of

(x^{2} - y^{2}) : (x^{2} + y^{2})

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