Let x be the least number which when divided by 12, 15, 18, 20 and 27, the remainder in each case is 2, but x is divisible by 23. If x is divided by the sum of its digits then the quotient is:
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 196
x is the least number which when divided by 12, 15, 18, 20 and 27, the remainder in each case is 2 i.e x = L.C.M of 12, 15, 18, 20, 27 + 2
⇒ x = 540 + 2
Now x is divisible by 23 it means 540x + 2 should be divisible by 23
Hence x = 2162
If x is divided by the sum of its digits then the quotient is:
2162/11 = 196(6/11) quotient = 196