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
Answer (1)
22nd Jan, 2024
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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