Question

The greatest 4 digit number such that when divided by 15,18,21,24 it leaves reminder as 5 in each case.​

Answer 1

Answer:

Find the LCM of

15 - 3×5

18 - 2×3×3

21 - 3×7

24 - 2×2×2×3

LCM = 2×2×2×3×3×5×7 = 2520

Divide 10000 by 2520 to get 3.9

Multiply 3 by 2520 and add 5 to get 7565 as the number you are seeking

Check :

7565/15 = 504 as quotient and 5 as Remainder.

Correct

7565/18 = 420 as quotient and 5 as remainder.

Correct

7565/21 = 360 as quotient and 5 as remainder

Correct

7565/24 = 315 as quotient and 5 as remainder

Correct

Answer : 7565

Step-by-step explanation: