Problems – Page 3 – We Solve Problems
Filter Problems
Showing 41 to 60 of 94 entries

#### Theory of algorithms (other)

How can one measure out 15 minutes, using an hourglass of 7 minutes and 11 minutes?

#### Examples and counterexamples. Constructive proofs , Pigeonhole principle (other) , Theory of algorithms (other)

Prove that multiplying the polynomial $(x + 1)^{n-1}$ by any polynomial different from zero, we obtain a polynomial having at least n nonzero coefficients.

#### Examples and counterexamples. Constructive proofs , Pigeonhole principle (other) , Theory of algorithms (other)

It is known that a certain polynomial at rational points takes rational values. Prove that all its coefficients are rational.

#### Theory of algorithms (other)

Here’s a rather simple rebus:
$\\$
EX is four times larger than OJ.
AJ is four times larger than OX.
$\\$
Find the sum of all four numbers.

My Problem Set reset
No Problems selected