Read the following and choose the correct answer.X, Y and Z are three whole numbers less than 24 but greater than 11. X is the smallest prime number. Y is the largest number divisible by 3. Z is the smallest number divisible by 11.
Correct answer: B. X is 13, Y is 21, Z is 22
- A. X is 13, Y is 24, Z is 11
- B. X is 13, Y is 21, Z is 22
- C. X is 11, Y is 21, Z is 11
- D. X is 11, Y is 24, Z is 22
Explanation
As the question states, the whole number is less than 24, hence options A and D are eliminated. Let's list the numbers in question, 12,13,14,15,16,17,18,19,20,21,22,23. X is the smallest prime number. Among the numbers listed 13 is the smallest prime number so X is 13. Y is the biggest number divisible by 3. 21 is the largest number among these but it is divisible by 3. So Y is 21. Z is the number divisible by 11. Amongst all these numbers only 22 is divisible by 11. This is what makes option B the most appropriate choice.
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