If A is the smallest three digit number divisible by both 6 and 7 and B is the largest four digit number divisible by both 6 and 7, then what is the value of B − A?
A.9870✓ Correct
B.9912
C.9996
D.9954
Explanation
LCM of 6 and 7 = 42. Smallest 3-digit number divisible by 42: A = 42×3 = 126. Largest 4-digit number divisible by 42: B = 42×238 = 9996. B−A = 9996−126 = 9870.
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