Question

*Which is the largest 3 digit number which when divided by 5 and 7 leaves remainder 3 and 2 respectively.*?​

Answer 1

Answer:

The answer is 983.

Refer to the attachment for step by step explanation.

Answer 2

983, when divided by 7 gives remainder 3.

Step-by-step explanation:

Starting from the largest three-digit number that is $999$

• $999$ on dividing with 5 will leave 4 as a remainder.

So, we have to see those numbers which leave 3 as the remainder, when divided by 5

• $998, 993, 988, 983, 978,$ etc would be some three-digit numbers that would give a remainder of 3 when divided by 5.

Now, let us take them one by one and divide them by 7.

• $998,$ gives 4 as the remainder.
• $993,$ gives 6 as the remainder.
• $988,$ gives 1 as the remainder.

• $983,$ gives 3 as the remainder. So, this is our answer