Question : What is the greatest four-digit number which when divided by 3 and 4 leaves remainder 2 in each case?
Option 1: 9994
Option 2: 9996
Option 3: 9998
Option 4: 9995
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Correct Answer: 9998
Solution : Greatest 4-digit number = 9999 LCM of 3 and 4 = 12 9999 = 12 × 833 + 3 Remainder = 3 Greatest 4 digit number which leaves remainder 2 = 9999 – 3 + 2 = 9998 Hence, the correct answer is 9998.
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