70030

Question

What is the greatest integer that will always evenly divide the sum of three consecutive odd numbers?

Worked Solution

We take 2xx - 1, 2xx + 1 and 2xx + 3 as three consecutive odd numbers.
2xx - 1 + 2xx + 1 + 2xx + 3 = 6xx + 3
= 3(2xx + 1) ⇒\rArr {{{correctAnswer}}}

∴\therefore The greatest integer is {{{correctAnswer}}}.

Variant 0

DifficultyLevel

680

Question

What is the greatest integer that will always evenly divide the sum of three consecutive odd numbers?

Worked Solution

We take 2xx - 1, 2xx + 1 and 2xx + 3 as three consecutive odd numbers.
2xx - 1 + 2xx + 1 + 2xx + 3 = 6xx + 3
= 3(2xx + 1) ⇒\rArr 3

∴\therefore The greatest integer is 3.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
3

Answers

Is Correct?Answer
x

1

x

2

✓

3

x

4

Tags

  • staging_suejones