What is the smallest number Y which when increased by 5 is completely divisible by 8, 11 and 24?
Pick one.
A) 264
B) 259
C) 269
D) 270
E) 282
This question includes a number of great Number Property shortcuts that you can take advantage of:   1) The question asks for the SMALLEST number that, when increased by 5 is divisible by 8, 11 and 24. Since the answers are numbers, we can TEST THE ANSWERS.   2) Any number that is divisible by 24 is ALSO divisible by 8, so we really just need to consider the 11 and the 24.   3) To be divisible by 24, the end number MUST be EVEN. Since we're adding 5 to get to that end number, the starting number MUST be ODD.   The last shortcut allows us to eliminate Answers A, D and E. Between Answers B and C, TESTING B first will prove that, when increased by 5, the end sum is divisible by both 11 and 24.   Final Answer:   259
<result>B</result>
What is the smallest number Y which when increased by 5 is completely divisible by 8, 11 and 24?