Question : The least number which when divided by 14, 18, and 36 leaves 1 as the remainder in each case is:
Option 1: 250
Option 2: 252
Option 3: 253
Option 4: 251
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Correct Answer: 253
Solution : The least number that leaves a remainder of 1 when divided by 14, 18, and 36 is the least common multiple (LCM) of these numbers, plus 1. The LCM of 14, 18, and 36 is 252. The required number = 252 + 1 = 253 Hence, the correct answer is 253.
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