Question 80

Logical Reasoning Puzzles Easy

Read the information given below and answer the questions that follow:

i. A * B means → A and B are of the same age

ii. A - B means → B is younger than A

iii. A + B means → A is younger than B

X + Y + Z is same as _____?

(A) Y - X - Z
(B) Z - Y - X
(C) Z - X - Y
(D) X - Y - Z
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:


Symbol Definitions and Analysis



First, let's establish the meaning of the symbols and how to interpret the chained expressions based on the problem's logic.



  • A + B means A is younger than B (A < B).

  • A - B means A is older than B (A > B).

  • A chained expression like X + Y + Z is interpreted as a continuous sequence: X < Y and Y < Z, which simplifies to the overall age order X < Y < Z.




Evaluating the Expressions




  • The Given Expression (X + Y + Z): As defined above, this expression means X is the youngest, followed by Y, and Z is the oldest (X < Y < Z).


  • Option (B) Z - Y - X: According to the rules, this expression is interpreted as Z > Y and Y > X, which simplifies to the overall age order Z > Y > X.



The age order X < Y < Z is identical to the order Z > Y > X. Therefore, the two expressions are logically equivalent. The other options result in different, contradictory orderings.





Final Answer: The correct option is (B) Z - Y - X.


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