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Question

(1+1/5)(1+1/6)(1+1/7) ....... (1+1/x) = ?

  • (x+5)/(x+6)
  • (x+5)/(x+6)
  • (x+1)/5
  • (x+1)/6
Answer- C

This type of question can be solved by a short trick that is the last term numerator, and the first term denominator will be the answer.

1+1/5 = 6/5, 1+1/6 = 7/6, 1+1/7 = 8/7, and so on.

(6/5)*(7/6)*(8/7) .... ((x+1)/x) = (1/5) (x+1)

The first term numerator canceled by its next term denominator till the end.

In the end, we get (x+1)/5.


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