NIMCET 2019 Logical Reasoning Question 68 with Solution

Question 68

Logical Reasoning Puzzles Easy

John, Johny and Janardan participated in a race and each won a different medal among Gold, Silver and Bronze, not necessarily in that order. Each person among them gives two replies to any question, one of which is true and the other is false (in any order). When asked about the details of the medals obtained by them, the following were their replies: John: I won the Gold medal. Johny won the Bronze medal. Johny: John won the Silver medal. I won the Gold medal. Janardan: Johny won the Silver medal. I won the Gold medal. Which among the following is the correct order of the persons who won the Gold medal, the Silver medal and the Bronze medal respectively?

(A) John, Johny, Janardan

(B) Janardan, John, Johny

(C) Johny, Janardan, John

(D) Janardan, Johny, John

View Dynamic Solution & Explanation ▼

Correct Solution: Option B

Step-by-step Solution:

Quick Solution

The key to this puzzle is that each of the three people makes two statements: one is True and one is False. We can find the solution by assuming one statement is true and then checking if all other statements follow the rules without any contradictions.

1. Let's Test a Hypothesis

The most efficient way to start is to look for two statements that cannot both be true. Notice that John and Johny both claim to have won the Gold medal. It's impossible for both of them to be telling the truth. Let's test the scenario based on John's statements.

Assume John's first statement ("I won the Gold medal.") is False.

If John's first statement is False, then his second statement ("Johny won the Bronze medal.") must be True.

This gives us our first two solid facts:
Fact 1: John did NOT win Gold.
Fact 2: Johny WON the Bronze medal.

2. Follow the Chain of Logic

Now, let's use these facts to evaluate another person's statements. Let's look at Janardan's:

Janardan's 1st statement: "Johny won the Silver medal." This contradicts our Fact 2 (that Johny won Bronze). So, this statement must be False.
Since his first statement is False, his second statement ("I won the Gold medal.") must be True.

This gives us our next crucial fact:
Fact 3: Janardan WON the Gold medal.

3. Determine the Final Result and Verify

We now have enough information to solve the entire puzzle:

Gold Medal: Janardan (from Fact 3)
Bronze Medal: Johny (from Fact 2)
By elimination, the only person left is John and the only medal left is Silver. Therefore, John must have won the Silver Medal.

(We can quickly verify this with Johny's statements. His first statement, "John won the Silver medal," is True. His second statement, "I won the Gold medal," is False. This perfectly fits the 1 True/1 False rule.)

4. Answer the Question

The question asks for the correct order of the winners for Gold, Silver, and Bronze respectively.

The order is: Janardan, John, Johny.

Final Answer: The correct order is Janardan, John, Johny.