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Question

The first two digits of the password is lowest common multiples of 3 and 8, last two digits is lowest common multiples of 9 and 6. What is the password?​
  1. 2418

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Solution

The correct option is A 2418
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30...
Multiples of 8: 8, 16, 24, 32, 40...

Thus, first two digits of password, i.e. LCM of 3 and 8: 24


Multiples of 9: 9, 18, 27, 36, 45, 54, 63,...
Multiples of 6: 6, 12, 18, 24, 30, 36...

Thus, last two digits of password, i.e. LCM of 9 and 6: 18

Hence, the password will be 2418

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