If x y 5a 3 y x 17 3a then what is the value of a ........

Quantitative Aptitude (CPO) Simplification

If (x/y)^5a-3 = (y/x)^17-3a, then what is the value of a?

-7

-5

- Start with \((x/y)^{5a-3} = (y/x)^{17-3a}\).

- Rewrite right side as \((x/y)^{-(17-3a)}\).

- Both sides are equal, implying exponents must be equal but opposite in sign: \(5a - 3 = -(17 - 3a)\).

- Expand and simplify: \(5a - 3 = -17 + 3a\).

- Rearrange terms: \(5a - 3a = -17 + 3\).

- Find \(2a = -14\).

- Solve for \(a\): \(a = -7\).

Correct Option: 1, \(-7\)

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