perplexus.info :: Just Math : Distinct Values of an Expression Involving Floor Function

Distinct Values of an Expression Involving Floor Function (Posted on 2023-06-06)

Find the number of distinct values of this expression:
⌊N/4⌋ - ⌊N/7⌋ - ⌊N/14⌋ - ⌊N/28⌋

Notes:
1) ⌊x⌋ is the floor of x, which is the greatest integer less than or equal to x.
2) Adapted from a problem appearing in Singapore Mathematical Olympiad, Junior 2022.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The given expression can only take on 3 values that is, 0,1,2.
For an explanation, refer to the solution submitted by FrankM in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution and reasoning	FrankM	2023-06-06 16:53:10

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