1.

The average of four consecutive even numbers a, b, c and d is 33. Find the product of b and d.1. 12362. 12523. 11524. 1156

Answer» Correct Answer - Option 3 : 1152

Given:

The average of four consecutive even numbers a, b, c  and d = 33

Formula used:

Average = the sum of observations/the number of observations.

Calculation:

Let the four even consecutive numbers with respect to a, b, c and d be x - 2, x, x + 2  and x + 4

Average of four consecutive even number = [(x - 2) + x + (x + 2) + (x + 4)]/4

⇒ 33 = (4x + 4)/4

⇒ 4(x + 1)/4 = 33

⇒ x + 1 = 33

⇒ x = 33 - 1

⇒ x = 32

Then b = x

⇒ b = 32

And d = x + 4

⇒ d = 32 + 4

⇒ d = 36

Product of b and d = 32 × 36

⇒ 1152

∴ The product of b and d is 1152


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