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.

This question appeared on the UHS MDCAT 2024 paper, which you can sit online with every answer explained.

Written and checked by , MS Computer ScienceLast updated
Report an error

The more specific you are, the faster it gets fixed. A source beats an opinion.

Prefer email? [email protected]

About Logical Problems

Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.

Practise Logical Problems

519 free Logical Problems MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.

Discussion

Stuck on an option, or know a faster way to get there? Ask or explain it here.

No comments yet. Be the first to explain this one.

Exams that ask Analytical and Logical Reasoning questions like this

Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.

More Logical Problems questions