Which of the following fractions can be written as the difference of reciprocals of two consecutive integers Answers:
A) 1/28 B) 7/30 C) 1/45 D) 13/56 E) 1/72
Difference of reciprocals means 1 has to be in the numerator;   So option BD can be ignored   For option A, BE, we require to search two consecutive numbers whose product is the denominator   28 = 4 * 7 ......... Ignore   45 = 5 * 9 ........ Ignore   72 = 8 * 9 ................ Answer   Answer = 1/72
<result>E</result>
Which of the following fractions can be written as the difference of reciprocals of two consecutive integers