If the difference between the reciprocal of a positive proper fraction and the fraction itself be 920 then the fraction is
35
45
310
54
A
35
B
45
C
54
D
310
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Solution
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Let the fraction be xy, then reciprocal = yx Given yx−xy=920⇒y2−x2xy=920 The only options where xy=20 are (c) and (d) but in (d) y will be 4 and x will be 9 ∴y2−x2=16−25=−9 (negative) hence the option satisfying the given condition is option i.e. xy=45
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