Answer:
The required number is 243.
Step-by-step explanation:
Consider the provided numbers.
We need to find a number which leaves a remainder of 3 in each case when divided by 8 ,10,12 and 30.
First find the number which is divisible by 8 ,10,12 and 30,
Find the LCM of the provided numbers as shown below:
8 = 2×2×2
10 = 2×5
12 = 2×2×3
30 = 2×3×5
LCM= 2×2×2×3×5 = 120.
The number 120 is divisible by 8 ,10,12 and 30. But it is not in between 200 and 500.
If we double the number the required number will lie between 200 and 500.
Therefore, the number which is divisible by 8 ,10,12 and 30 and lie between 200 and 500 is 240.
Now, add 3 in 240, as we need a number which leaves a remainder 3.
240+3=243
Thus, the required number is 243.