PU-MET : Panjab University MBA Entrance Exam with MCQ Answers 2024

Practice Mode:
54.

Examine the following statements :


1. Either A and B are of the same age or A is older than B.
2. Either C and D are of the same age or D is older than C.
3. B is older than C

Which one of the following conclusions can be drawn from the above statements ?
A: A is older than B
B: B and D are of the same age
C: D is older than C
D: A is older than C

The answer is: D

Explanation

Let's analyze the given statements step by step in simple terms:

  1. Either A and B are of the same age, or A is older than B.
    → This means A is either equal to or older than B.
  2. Either C and D are of the same age, or D is older than C.
    → This means D is either equal to or older than C.
  3. B is older than C.
    → This clearly states that B is older than C.

Now, let's check the answer options:

A: A is older than B.

  • We only know that A is either the same age or older than B, but we cannot be sure A is definitely older.  Incorrect.

B: B and D are of the same age.

  • There is no information linking the ages of B and D directly. Incorrect.

C: D is older than C.

  • From statement 2, we know that either D is the same age as C or older.
  • But from statement 3, we know B is older than C.
  • Since we have no direct proof that D is older, this is not necessarily true.  Incorrect.

D: A is older than C.

  • We know B is older than C (Statement 3).
  • From Statement 1, A is either equal to or older than B.
  • If A is at least as old as B, and B is older than C, then A must also be older than C.
    This is correct.

Correct Answer:

D: A is older than C.