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Question

Nine numbers are taken from calender as shown

9 10 11
16 17 18
23 24 25

If the sum of all given numbers is S, then the value of S9 equals to
  1. 17

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Solution

The correct option is A 17
Nine numbers as shown in the question can be written in the general form as
x8 x7 x6
x1 x x+1
x+6 x+7 x+8

Now adding all the dates we get
(x8)+(x7)+(x6)+(x1)+x+(x+1)+(x+6)+(x+7)+(x+8)=9x

According to the data provided,
S=9xS9=9x9S9=x

Hence, the value of S9 is 17 in this case.

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