Question 12590 – TIFR PHD CS & SS 2012

Long ago, in a planet far far away, there lived three races of intelligent inhabitants: the Blues (who always tell the truth), the Whites (who always lie), and the Pinks (who, when asked a series of questions, start with a lie and then tell the truth and lie alternately). To three creatures, chosen from the planet and seated facing each other at A, B and C (see figure), the following three questions are put:
(i) What race is your left-hand neighbour?
(ii) What race is your right-hand neighbour?
(iii) What race are you?

Here are their answers:
A: (i) White (ii) Pink (iii) Blue
B: (i) Pink (ii) Pink (iii) Blue
C: (i) White (ii) Blue (iii) Blue
What is the actual race of each of the three creatures?

Correct Answer: C