book Maths Puzzle Numerical Ability

if a number is decreased by its reciprocal, the result is 11 over 30. find the number.

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book Other Question

How much of an alloy which contains 6 grams of gold in 10 grams must be melted with another alloy which contains 3 grams of gold in 10 grams, to give an alloy containing 5 grams of if the intergers have different signs then___________ the lesser absolute value