Question

If the average of four consecutive odd whole numbers A, B, C, D is 42, then what is the product of B and D?
1. 1860
2. 1890
3. 1845
4. 1677

Answer 1

Correct Answer - Option 3 : 1845

Given 

The average of four consecutive number = 42

Formula used 

Average = Sum of observation/No. of observation 

Calculation 

Let the four consecutive odd number be x, x + 2, x + 4, x + 6

Sum of four consecutive number = 42 × 4 = 168

⇒ 4x + 12 = 168 

⇒ x = 39 

So, B = x + 2 = 41 

and D = x + 6 = 45 

Product of B and D = 41 × 45 = 1845

∴ The required answer is 1845