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Numerical Inequalities · Question 69 of 79

Question 69

MediumOriginal question

Three consecutive odd numbers have a sum less than 40. What is the largest possible value of the smallest of them?

Options for question 69

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. With the numbers xx, x+2x + 2, x+4x + 4: 3x+6<403x + 6 < 40, so x<343≈11.3x < \frac{34}{3} \approx 11.3.

  2. The largest odd number below 11.3 is 11: 11+13+15=3911 + 13 + 15 = 39.

Worth noting

13 gives 13+15+17=4513 + 15 + 17 = 45, which is not less than 40.

Concept
Consecutive numbers with a condition
Typical time
90 s
Your time
—
The rule this testsInequalities from situations
Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.

Practise this chapter →

Ten questions from Numerical Inequalities, at your own pace.