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Question
By using the following clues, find who am I?
i) Each of my numerator and denominator is a single digit number.
ii) The sum of my numerator and denominator is a multiple of 3.
iii) The product of my numerator and denominator is a multiple of 4.
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Solution
The numerator may be any one of 1, 2, 3, 4, 5, 6, 7, 8, 9 and the denominator may be any one of 1, 2, 3, 4, 5, 6, 7, 8, 9.
Sum of numerator and denominator is a multiple of 3.
∴ Possible proper fractions are `1/2, 1/5, 1/8, 2/4, 2/7, 3/6, 3/9, 4/5, 4/8, 5/7, 6/9`
Also given the product of numerator and denominator is a multiple of 4.
∴ Possible fractions are `1/8, 2/4, 4/5, 4/8`
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