Three pills — coloured blue, red, and green, respectively, — are each placed individually inside three small boxes of the same colours — blue, red, and green — in such a way that no pill is inside the box of its own colour. Additionally, the blue pill is not in the green box.
Which pill is in which box?
A) The blue pill is in the blue box, the green pill is in the green box, the red pill is in the red box.
B) The red pill is in the blue box, the green pill is in the green box, the blue pill is in the red box.
C) The blue pill is in the green box, the green pill is in the red box, the red pill is in the blue box.
D) The green pill is in the blue box, the red pill is in the blue box, the blue pill is in the green box.
E) The green pill is in the blue box, the red pill is in the green box, the blue pill is in the red box.
IMAT 2025 · Question 8
Q8 - Problem solving
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The correct answer is E) The green pill is in the blue box, the red pill is in the green box, the blue pill is in the red box.
Start with the most restricted pill. The blue pill can't go in the blue box (its own colour) or the green box (the extra rule), so it has to be in the red box.
The green pill can't go in green, and red is taken, so it goes in blue. That leaves the green box for the red pill, which is fine.
Blue pill in red, green pill in blue, red pill in green.
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