Delhi Police Constable Exam Model Paper 7

Question : 79 of 100

Marks: +1, -0

Which is the largest 4 digits number which when divided by 6, 9, 12, 15 or 18 leaves 1 as remainder in each case?

9901
9899
1081
9673

Solution:

Tips & Tricks
LCM of 6, 9, 12, 15 and 18 = 180
Largest 4 digit number divisible by 180 = 9900
9900 is divisible by each of 6, 9, 12, 15 and 18.
∴ Largest 4 digit number which leaves a remainder of 1 when divided by

6, 9, 12, 15, 18 = 9900 + 1 = 9901

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