SSAT Math Question 244: Answer and Explanation

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Question: 244

8. Let x be an integer such that 21 < x < 43. What is the probability that x is divisible by BOTH 2 and 3?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C

Explanation:

The answer is C

List out the integers greater than 21 and less than 42. Cross out all the odd integers, since no odd integer is divisible by 2. Circle the remaining numbers that are divisible by 3: 24, 30, 36, and 42. As there are four numbers that are divisible by both 2 and 3, and there are a total of 21 numbers in the range, the probability is .

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