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The average of five consecutive odd numbers is 95. What is the fourth number in the descending order?

A. 91

B. 95

C. 97

D. 99

E. None of these

Answer: Option E

Solution(By Examveda Team)

Let the numbers be x, x + 2, x + 4, x + 6 and x + 8
Then,
$$ \Rightarrow \frac{{x + \left( {x + 2} \right) + \left( {x + 4} \right) + \left( {x + 6} \right) + \left( {x + 8} \right)}}{5} $$         $$= 95$$
$$\eqalign{ & \Rightarrow 5x + 20 = 475 \cr & \Rightarrow 5x = 455 \cr & \Rightarrow x = 91 \cr} $$
So, the numbers are 91, 93, 95, 97 and 99
Clearly, the fourth number in the descending order is 93

This Question Belongs to Arithmetic Ability >> Average

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