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If p, q and r are positive integers and satisfy x = (p + q - r)/r = (p - q + r)/q = (q + r - p)/p, then the value of x is?
- A1/2
- B1
- C-1/2
- D-1
Correct answer: B
Discussion 1
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CCommunity
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Hence, x = (p + q - r)/r = (p - q + r)/q = (q + r - p)/p
=> x = (p + q - r + p - q + r + q + r - p)/(r + q + p)
=> x = (p + q + r)/(r + q + p) = 1.
Hence, x = (p + q - r)/r = (p - q + r)/q = (q + r - p)/p
=> x = (p + q - r + p - q + r + q + r - p)/(r + q + p)
=> x = (p + q + r)/(r + q + p) = 1.