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Found: 3

Problem #PRU-100698

Problems Number Theory Divisibility Division with remainders. Arithmetic of remainders Arithmetic of remainders

Convert 2000 seconds into minutes and seconds.

Problem #PRU-31235

Problems Number Theory Divisibility Division with remainders. Arithmetic of remainders Arithmetic of remainders

11–13 2.0

Find the last digit of the number $1 \times 2 + 2 \times 3 + \dots + 999 \times 1000$ .

Problem #PRU-97979

Problems Number Theory Divisibility Division with remainders. Arithmetic of remainders Arithmetic of remainders Methods Pigeonhole principle Pigeonhole principle (other)

12–14 2.0

Prove that in any group of 7 natural numbers – not necessarily consecutive – it is possible to choose three numbers such that their sum is divisible by 3.