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Mathematics

The mean of five consecutive odd numbers A, B, C, D and E in ascending order is 37. What is the product of B and D?

  1. 1365

  2. 1585

  3. 1935

  4. 2035

Measures of Central Tendency

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Answer

Given,

Five consecutive odd numbers :

A = x - 4,

B = x - 2,

C = x,

D = x + 2,

E = x + 4.

By formula,

⇒Mean=∑xin⇒37=(x−4)+(x−2)+x+(x+2)+(x+4)5⇒37=5x5⇒x=37.\Rightarrow \text{Mean} = \dfrac{\sum x_i}{n} \\[1em] \Rightarrow 37 = \dfrac{(x - 4) + (x - 2) + x + (x + 2) + (x + 4)}{5} \\[1em] \Rightarrow 37 = \dfrac{5x}{5} \\[1em] \Rightarrow x = 37.

C = x = 37

B = 37 - 2 = 35

D = 37 + 2 = 39

B × D = 35 × 39 = 1365.

Hence, option 1 is the correct option.

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