If x and y are perfect squares, then which of the following is not necessarily a perfect square?

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If 4% of (P+Q) is 8 and P is a positive integer, what is the greatest possible value of Q?

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If (x2-4)(4/x-5)=0, then x=?

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What is the absolute value of twice the difference of the roots of the equation 5y2-20y+15=0?

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Rina and shila entered into a partnersship with their capitals in the ratio 5 : 6. At the end of 8 months, Rina withdraws her capital. If they receive the profit in the ratio of 5 : 9, find how long shila's capital was used?

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Three time the present age of a father is equal to eight times the present age of his son. Eight years hence the father will be twice as old as his son at that time. What are their present ages?

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