Replace * by the smallest digit so that 723*56* is divisible by 6.
2
A number is divisible by 6 if it is divisible by both 2 and 3.
1. For divisibility by 2, the last digit (represented by *) must be even.
2. For divisibility by 3, the sum of the digits must be divisible by 3.
Testing values, the smallest digit satisfying both conditions is 2.
Hence, the correct answer is 2.
Important Questions from Number System
A frog was at the bottom of an 80 m deep well. It attempted to come out of it by jumping. In each jump, it covered 1.15 m but slipped down by 0.75 m. The number of jumps after which it would be out of the well is:
The smallest perfect square number divisible by each of 6 and 12 is:
The L.C.M. of two different numbers are 30. Which of the following cannot be their H.C.F.?
Which is the least four-digit number which when divided by 5, 6 and 8 leaves remainder 2 in each case?
- A number when divided by 5 leaves a remainder 3.
What is the remainder when its square is divided by 5?
