Question

The product of three consecutive numbers is 3360. What is the least number?
1) 17
2) 14
3) 13
4) 16
5) None of these

Answer 1

Hola User!

Let us take the numbers as

First number = ( m - 1 )

Second number = ( m )

Third number = ( m + 1 )

We will have to multiply these numbers to get 3360

( m - 1 ) × ( m ) × ( m + 1 )

( m - 1 ) × ( m + 1 ) × ( m )

Note : ( a² - b² ) = ( a + b ) × ( a - b )

( m² - 1 ) × ( m ) = 3360

⇒ m³ - m = 3360

⇒ m³ - m - 3360 = 0

⇒ This equation will be true if m will be equal to 15 ( by trial and error method )

⇒ m = 15

⇒ m - 1 = 14

⇒ m + 1 = 16

Least number = 14

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