Find d number
Number Theory
Level
3
Find the least number which when divided by 12 , leaves a remainder of 7, when divided by 15, leaves a remainder of 10 and when divided by 16, leaves a remainder of 11.
The answer is 235.
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1 solution
L C M of the divisors = 2 4 0
Common difference between the divisors and remainders = 5 .
Required Number = L C M − D i f f e r e n c e = 2 3 5