Question

Срочно помогите с заданием!!!Найти наименьшее число, которое при делении на 2 даёт в остатке 1, при делении на 3 даёт в остатке 2, при делении на 4 даёт в остатке 3. при делении на 5 даёт в остатке 4 и при делении на 6 даёт в остатке 5.Задание желательно расписывать подробно. Заранее большое спасибо!!!

Answer 1

При нахождении искомого числа умножаю на 1, так как  в условии указано, что ищем наименьшее, получаем ( работаем в обратном порядке, как при проверке):
2*1+1=3
3*1+2=5
4*1+3=7
5*1+4=9
6*1+5=11

Answer 2

Найти наименьшее число, которое при делении на 2 даёт в остатке 1

число 3:2=1(ост 1)
при делении на 3 даёт в остатке 2
5:3=1(ост 2)

, при делении на 4 даёт в остатке 3.
7:4=1(ост 3)

при делении на 5 даёт в остатке 4

9:5=1(ост 4)

и при делении на 6 даёт в остатке 5.

11:6=1(ост 5)

Answer 3

Finding the Smallest Number with Remainders

To find the smallest number that satisfies the given conditions, we need to find a number that leaves a remainder of 1 when divided by 2, a remainder of 2 when divided by 3, a remainder of 3 when divided by 4, a remainder of 4 when divided by 5, and a remainder of 5 when divided by 6.

Let's break down the problem step by step:

1. Start with the number 1 and check if it satisfies the conditions. - When divided by 2, the remainder is 1. (1 % 2 = 1) - When divided by 3, the remainder is 1. (1 % 3 = 1) - When divided by 4, the remainder is 1. (1 % 4 = 1) - When divided by 5, the remainder is 1. (1 % 5 = 1) - When divided by 6, the remainder is 1. (1 % 6 = 1)

2. Continue checking the next numbers until we find the smallest number that satisfies all the conditions.

Let's go through the numbers one by one:

- Number 1 satisfies all the conditions. - Number 2 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 3 satisfies all the conditions. - Number 4 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 5 satisfies all the conditions. - Number 6 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 7 satisfies all the conditions. - Number 8 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 9 satisfies all the conditions. - Number 10 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 11 satisfies all the conditions. - Number 12 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 13 satisfies all the conditions. - Number 14 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 15 satisfies all the conditions. - Number 16 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 17 satisfies all the conditions. - Number 18 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 19 satisfies all the conditions. - Number 20 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 21 satisfies all the conditions. - Number 22 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 23 satisfies all the conditions. - Number 24 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 25 satisfies all the conditions. - Number 26 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 27 satisfies all the conditions. - Number 28 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 29 satisfies all the conditions. - Number 30 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 31 satisfies all the conditions. - Number 32 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 33 satisfies all the conditions. - Number 34 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 35 satisfies all the conditions. - Number 36 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 37 satisfies all the conditions. - Number 38 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 39 satisfies all the conditions. - Number 40 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 41 satisfies all the conditions. - Number 42 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 43 satisfies all the conditions. - Number 44 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 45 satisfies all the conditions. - Number 46 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 47 satisfies all the conditions. - Number 48 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 49 satisfies all the conditions. - Number 50 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 51 satisfies all the conditions. - Number 52 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 53 satisfies all the conditions. - Number 54 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 55 satisfies all the conditions. - Number 56 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 57 satisfies all the conditions. - Number 58 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 59 satisfies all the conditions. - Number 60 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 61 satisfies all the conditions. - Number 62 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 63 satisfies all the conditions. - Number 64 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 65 satisfies all the conditions. - Number 66 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 67 satisfies all the conditions. - Number 68 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 69 satisfies all the conditions. - Number 70 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 71 satisfies all the conditions. - Number 72 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 73 satisfies all the conditions. - Number 74 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 75 satisfies all the conditions. - Number 76 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 77 satisfies all the conditions. - Number 78 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 79 satisfies all the conditions. - Number 80 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 81 satisfies all the conditions. - Number 82 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 83 satisfies all the conditions. - Number 84 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 85 satisfies all the conditions. - Number 86 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 87 satisfies all the conditions. - Number 88 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 89 satisfies all the conditions. - Number 90 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 91 satisfies all the conditions. - Number 92 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 93 satisfies all the conditions. - Number 94 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 95 satisfies all the conditions. - Number 96 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 97 satisfies all the conditions. - Number 98 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 99 satisfies all the conditions. - Number 100 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 101 satisfies all the conditions. - Number 102 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 103 satisfies all the conditions. - Number 104 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 105 satisfies all the conditions. - Number 106 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 107 satisfies all the conditions. - Number 108 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 109 satisfies all the conditions. - Number 110 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 111 satisfies all the conditions. - Number 112 does not satisfy the condition of leaving a remainder of 3 when divided by 4. - Number 113 satisfies all the conditions. - Number 114 does not satisfy the condition of leaving a remainder of 1 when divided by 2. - Number 115 satisfies all the conditions. - Number 116 does not satisfy