Question

21. Find the largest four-digit number which when divided by 4, 7 and 13
leaves a remainder of 3 in each case.
AAO​

Answer 1

Answer:

Prime factors of 4, 7 and 13

4 = 2×2

7 and 13 are prime numbers.

LCM ( 4, 7, 13) = 364

We know that, the largest 4 digit number is 9999

Step 1: Divide 9999 by 364,

we get 9999/364 = 171

Step 2: Subtract 171 from 9999 9999 – 171 = 9828

Step 3: Add 3 to 9828

9828 + 3 = 9831

Therefore 9831 is the number.

Credits

Sarthaks