Question

Five boys Ajay, Mohit, Nayan, Sameer and Vijay play the piano on five different days, starting on Tuesday and ending on Saturday. Nayan plays the piano immediately after Sameer. Only two persons play the piano between Ajay and Sameer. Vijay plays the piano on the day immediately before Mohit. Who plays the piano on Saturday?

• A. Ajay
• B. Sameer
• C. Mohit
• D. Nayan

Hint:

Use a table to test potential arrangements against all constraints simultaneously.

Answer 1

The Correct Option is D

Step 1: List the days.
Five boys play on five days from Tuesday to Saturday, one boy per day.

Step 2: Write the clues.
Nayan plays right after Sameer. Exactly two people play between Ajay and Sameer. Vijay plays the day right before Mohit.

Step 3: Place Ajay and Sameer.
If Ajay plays on Tuesday, then with two people between them Sameer plays on Friday. Then Nayan, who is right after Sameer, plays on Saturday.

Step 4: Fit Vijay and Mohit.
The free days now are Wednesday and Thursday. Vijay must come right before Mohit, so Vijay plays Wednesday and Mohit plays Thursday.

Step 5: Final arrangement.
Ajay Tuesday, Vijay Wednesday, Mohit Thursday, Sameer Friday, Nayan Saturday. All clues are satisfied.

Step 6: Read the answer.
The person on Saturday is Nayan. Note the given key marks Mohit, but the correct fit here is Nayan, which also matches the question's own solution.
Answer: Nayan