Question : Find the least number which when divided separately by 15, 20, 36 and 48 leaves 3 as the remainder in each case.
Option 1: 183
Option 2: 243
Option 3: 483
Option 4: 723
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Correct Answer: 723
Solution :
15 = 3 × 5
20 = 2 × 2 × 5
36 = 3 × 3 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
LCM = 3 × 3 × 2 × 2 × 2 × 2 × 5 = 720
The remainder will be added to the LCM to get the required number.
So, 720 + 3 = 723
Hence, the correct answer is 723.
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