The correct answer is 2, 3.

Here's the step-by-step solution:

1. When the number is divided by 4, the remainder is 1. This means the number is of the form 4n + 1.

2. This number (4n + 1) is then divided by 5, leaving a remainder of 4. This means 4n + 1 = 5m + 4 for some integer m. Simplifying, we get 4n = 5m + 3, or n = (5m + 3) / 4.

3. Now, if we divide this number (5m + 3) by 4, the remainder is 3. This means m is of the form 4p + 2 for some integer p.

4. So, the original number is of the form 5(4p + 2) + 3 = 20p + 13.

5. If we divide 20p + 13 by 5, the remainder is 3. If we divide 20p + 13 by 4, the remainder is 2.

So, the respective remainders when the number is divided successively by 5 and 4 are 2 and 3.

Question

The correct answer is 2, 3.

Here's the step-by-step solution:

1. When the number is divided by 4, the remainder is 1. This means the number is of the form 4n + 1.

2. This number (4n + 1) is then divided by 5, leaving a remainder of 4. This means 4n + 1 = 5m + 4 for some integer m. Simplifying, we get 4n = 5m + 3, or n = (5m + 3) / 4.

3. Now, if we divide this number (5m + 3) by 4, the remainder is 3. This means m is of the form 4p + 2 for some integer p.

4. So, the original number is of the form 5(4p + 2) + 3 = 20p + 13.

5. If we divide 20p + 13 by 5, the remainder is 3. If we divide 20p + 13 by 4, the remainder is 2.

So, the respective remainders when the number is divided successively by 5 and 4 are 2 and 3.

Knowee AI · Accepted Answer

The correct answer is 2, 3.

Here's the step-by-step solution:

1. When the number is divided by 4, the remainder is 1. This means the number is of the form 4n + 1.

2. This number (4n + 1) is then divided by 5, leaving a remainder of 4. This means 4n + 1 = 5m + 4 for some integer m. Simplifying, we get 4n = 5m + 3, or n = (5m + 3) / 4.

3. Now, if we divide this number (5m + 3) by 4, the remainder is 3. This means m is of the form 4p + 2 for some integer p.

4. So, the original number is of the form 5(4p + 2) + 3 = 20p + 13.

5. If we divide 20p + 13 by 5, the remainder is 3. If we divide 20p + 13 by 4, the remainder is 2.

So, the respective remainders when the number is divided successively by 5 and 4 are 2 and 3.

Select the correct answerA number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will beOptions2, 31, 23, 24, 1

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