What is the product of two consecutive even numbers $42 × 44$ ?

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1858

1878

1848

1886

answer is C.

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Detailed Solution

It is required to find the product of two consecutive even numbers

42 × 44

.
The result of two successive natural numbers that are odd or even is

n 2 − 1

, where n is a natural number.
The given numbers are 42 and 44.
As a result of the fact that the numbers are successive even natural numbers of the type (n-1), (n+1), where n = 43.
Hence the required product is,

⇒ 42 × 44 = 432 − 1 ⇒ 1849 − 1 ⇒ 1848

In light of this, the result of two consecutive even integers 42

×

44 is 1848.
Therefore, option 3 is correct.

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