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Series A consist of four consecutive odd numbers whose average is 22 and series B consist of four consecutive even numbers whose average is 17. Find t
Question


Series A consist of four consecutive odd numbers whose average is 22 and series B consist of four consecutive even numbers whose average is 17. Find the difference between the largest number of series A and smallest number of series B.

A.

13

B.

11

C.

14

D.

10

E.

9

Correct option is B


Let the number of series A be a, a+ 2, a+4, a+6
Let the number of series B be b, b+ 2, b+4, b+6
For series A
a+a+2+a+4+a+6=22×4
4a = 88 -12
4a = 76
a = 19
For series B
b + b+ 2 + b+4 + b+6 = 17 ×4 = 68
4b = 56
b = 14
Required difference = 25 – 14 = 11

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