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Averages · Question 19 of 62

Question 19

HardOriginal question

What is the average of all two-digit numbers that leave a remainder of 3 when divided by 5?

Options for question 19

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Such numbers are 13, 18, 23, …, 98 (3 and 8 are one-digit, so the list starts at 13).

  2. They are evenly spaced by 5, so average = 13+982=55.5\frac{13 + 98}{2} = 55.5.

Worth noting

Starting at 3 gives 50.5, stopping at 93 gives 53, and 54.5 is the average of ALL two-digit numbers.

Concept
Average of an arithmetic progression defined by a remainder
Typical time
110 s
Your time
—
The rule this testsSimple average
Practise this chapter →

Ten questions from Averages, at your own pace.

Practise this chapter →

Ten questions from Averages, at your own pace.