Question 57

Logical Reasoning Puzzles Hard

Three ladies X, Y and Z marry three men A, B and C. X is married to A, Y is not married to an engineer. Z is not married to a doctor, C is not a doctor and A is a lawyer. Then which of the following statements is correct?

(A) X is married to a doctor
(B) Y is married to C, who is a doctor 
(C) Z is married to B, who is an engineer
(D) None of these
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

Quick Solution

This is a matrix puzzle. The best way to solve it is to create a table to match the three men (A, B, C) to their wives (X, Y, Z) and their professions, filling it in step-by-step with the given clues.


1. Step-by-Step Deductions

  1. Clue 1 ("X is married to A") and Clue 5 ("A is a lawyer") give us our starting point. We can immediately fill this in.
  2. The remaining professions are Doctor and Engineer. Clue 4 ("C is not a doctor") means C must be the Engineer.
  3. By elimination, this means the last remaining man, B, must be the Doctor.
  4. Now we must pair the remaining men (B the Doctor, C the Engineer) with the remaining ladies (Y, Z).
  5. Clue 3 ("Z is not married to a doctor") tells us that Z cannot be married to B. Therefore, Z must be married to C.
  6. By elimination, the last remaining lady, Y, must be married to B.

2. The Final Table

Our deductions give us the following complete and final set of pairings:

ManWifeProfession
AXLawyer
BYDoctor
CZEngineer

3. Evaluating the Options

Now we can check each statement against our final, correct table:

  • A. X is married to a doctor. (False. X is married to A, who is a lawyer).
  • B. Y is married to C, who is a doctor. (False. Y is married to B, not C).
  • C. Z is married to B, who is an engineer. (False. Z is married to C, not B).

Since statements A, B, and C are all false, the correct option must be "None of these".


Final Answer: None of these statements is correct.