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