Question : Find the least number which when divided by 4, 9, 12, and 15, leaves the remainder 3 in each case.
Option 1: 360
Option 2: 183
Option 3: 193
Option 4: 180
Correct Answer: 183
Solution : 4 = 2 × 2 9 = 3 × 3 12 = 2 × 2 × 3 15 = 3 × 5 LCM of 4,9,12 and 15 = 2 × 2 × 3 × 3 × 5 = 180 Remainder = 3 Required number = 180 + 3 = 183 Hence, the correct answer is 183.
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