Question 148

Anamika, Ankita, Vaishali and Litika play two instruments each, the guitar, tabla, piano and violin. Ankita and Vaishali do not play the piano. Anamika and Litika do not play the tabla. Violin is not played by Ankita and Litika.
Who plays the guitar if each instrument is played by only two girls?

Solution

Using the given conditions we can get a grid like this.

We are told each girl plays two instruments => We know what Ankita and Litika will be playing.

=> Guitar is played by Ankita and Litika.

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Anamika, Ankita, Vaishali and Litika play two instruments each, the guitar, tabla, piano and violin. Ankita and Vaishali do not play the piano. Anamika and Litika do not play the tabla. Violin is not played by Ankita and Litika.Who plays the guitar if each instrument is played by only two girls?