A, B, C, D and E are five consecutive odd numbers. The sum of A and C is 146. What is the value of E ?

A. 71

B. 75

C. 79

D. 81

E. None of these

Answer: Option C

Solution(By Examveda Team)

Let A = x
B = x + 2
C = x + 4
D = x + 6 and
E = x + 8
Then,
$$\eqalign{ & \Rightarrow A + C = 146 \cr & \Rightarrow x + \left( {x + 4} \right) = 146 \cr & \Rightarrow 2x = 142 \cr & \Rightarrow x = 71 \cr & \therefore E = x + 8 \cr & \,\,\,\,\,\,\,\,\,\,\, = 71 + 8 \cr & \,\,\,\,\,\,\,\,\,\,\, = 79 \cr} $$