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Exact Science - Problem of The Day - 27

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Problem Of The Day 2023 · Q27 · Exact Science

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Is it possible to arrange the numbers 0, 1 and -1 in a 6x6 table so that all the sums of the numbers along the verticals, horizontals and two main diagonals are different?

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Exact Science - Problem of The Day - 27

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The school has 400 students. Prove that at least two of them were born on the sa

There are 40 students in the class. Is there a month in the year in which at lea

There are 30 students in the class. In the dictation, Vova made 13 mistakes, the

Of any three integers, you can choose two whose sum is even. Prove it.

Among any six integers, there are two numbers whose difference is a multiple of

Prove that from any n + 1 integers you can choose two numbers whose difference i

Given 12 different two-digit numbers. Prove that you can choose two numbers from

From any hundred integers, can you choose two numbers whose sum is a multiple of

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Exact Science - Problem of The Day - 27

More practice problems →

Back to Library Guide

Return to the guide and theory for this library collection.

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Problem Of The Day (2023)

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From this paper

Problem Of The Day (2023)

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