To solve this problem, we need to find a number that satisfies both conditions, i.e., when divided by 6 leaves a remainder of 4 and when divided by 7 leaves a remainder of 3.

Step 1:
We can start by finding a number that when divided by 6 leaves a remainder of 4. The smallest such number is 10 (6*1 + 4).

Step 2:
We then check if this number when divided by 7 leaves a remainder of 3. 10 divided by 7 leaves a remainder of 3, so 10 is a number that satisfies both conditions.

Step 3:
We then find the square of this number. 10^2 = 100.

Step 4:
Finally, we find the remainder when 100 is divided by 21. 100 divided by 21 leaves a remainder of 16.

So, the remainder when the square of the number is divided by 21 is 16.

Question

To solve this problem, we need to find a number that satisfies both conditions, i.e., when divided by 6 leaves a remainder of 4 and when divided by 7 leaves a remainder of 3.

Step 1: 
We can start by finding a number that when divided by 6 leaves a remainder of 4. The smallest such number is 10 (6*1 + 4).

Step 2: 
We then check if this number when divided by 7 leaves a remainder of 3. 10 divided by 7 leaves a remainder of 3, so 10 is a number that satisfies both conditions.

Step 3: 
We then find the square of this number. 10^2 = 100.

Step 4: 
Finally, we find the remainder when 100 is divided by 21. 100 divided by 21 leaves a remainder of 16.

So, the remainder when the square of the number is divided by 21 is 16.

Knowee AI · Accepted Answer

To solve this problem, we need to find a number that satisfies both conditions, i.e., when divided by 6 leaves a remainder of 4 and when divided by 7 leaves a remainder of 3.

Step 1: 
We can start by finding a number that when divided by 6 leaves a remainder of 4. The smallest such number is 10 (6*1 + 4).

Step 2: 
We then check if this number when divided by 7 leaves a remainder of 3. 10 divided by 7 leaves a remainder of 3, so 10 is a number that satisfies both conditions.

Step 3: 
We then find the square of this number. 10^2 = 100.

Step 4: 
Finally, we find the remainder when 100 is divided by 21. 100 divided by 21 leaves a remainder of 16.

So, the remainder when the square of the number is divided by 21 is 16.

A number when divided by 6 and 7 leaves a remainder of 4 and 3. What is the remainder if the square of the number is divided by 21

Question

A number when divided by 6 and 7 leaves a remainder of 4 and 3. What is the remainder if the square of the number is divided by 21?

Solution

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