Question 19
HardOriginal questionWhat is the average of all two-digit numbers that leave a remainder of 3 when divided by 5?
Show the answer and explanation
CorrectNot quiteAnswer D
Correct answer: D
Explanation
Such numbers are 13, 18, 23, …, 98 (3 and 8 are one-digit, so the list starts at 13).
They are evenly spaced by 5, so average = .
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 timeTypical
- 110 s
- Your timeYours
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