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Question

Nine numbers are taken from calender as shown 

14  15  16

21   22  23

28   29  30

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



Your Answer
A
21
Correct Answer
B
22
Your Answer
C
23
Your Answer
D
29

Solution

The correct option is A 22

If sum of all the number is S, then the value of S9 is equal to middle number which is equal to 22.

Alternatively, It can be verified 

x - 8   x - 7   x - 6

x - 1     x       x + 1

x + 6   x + 7  x + 8 

adding all we get sum as 9x and 9x9=x 

which is the middle number.

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