Question

Учитель подготовил для контрольной работы 42 карточки пяти цветов:белого,жёлтого,зелёного,красного,синего.сложив все карточки,чередуя при этом цвета в последовательности б,ж,з,к,с,б,ж,...,он понумеровал их подряд,начиная с номера 1.Какого цвета карточка с номером 24? с номером 38? с номером 10? последняя карточка

Answer 1

5 цветов. 24/5=4 целых 4/5, т.е. карточка24-четвертого цвета, значит, красная. Так и все остальные 38-зеленая, 10-синяя (2*5), 42-желтая

Answer 2

Background Information

The teacher has prepared 42 cards for a test, each of which is one of five colors: white, yellow, green, red, or blue. The cards are arranged in a sequence, alternating colors in the order of white, yellow, green, red, blue, white, yellow, and so on. The cards are numbered consecutively, starting from 1.

Answer

To determine the color of the card with a specific number, we need to understand the pattern of the color sequence. Since the colors repeat in a cycle of five, we can use modular arithmetic to find the color of a card based on its number.

The pattern of the color sequence is as follows: 1. Card numbers 1, 6, 11, 16, 21, 26, 31, 36 are white. 2. Card numbers 2, 7, 12, 17, 22, 27, 32, 37 are yellow. 3. Card numbers 3, 8, 13, 18, 23, 28, 33, 38 are green. 4. Card numbers 4, 9, 14, 19, 24, 29, 34, 39 are red. 5. Card numbers 5, 10, 15, 20, 25, 30, 35, 40 are blue.

Based on this pattern, we can determine the colors of the cards with the given numbers:

- The card with number 24 is red. - The card with number 38 is green. - The card with number 10 is yellow. - The last card, which is the 42nd card, is blue.

Please note that the pattern assumes that the numbering starts from 1 and continues consecutively. If the numbering starts from a different number or is not consecutive, the pattern may need to be adjusted accordingly.

I hope this helps! Let me know if you have any further questions.