MAT Exam 2020 Paper

Concept:Identify the top and bottom boxes using the given positional clues, then add the shirt counts of those two boxes.Explanation:Let the bottom position be position 6. The bottom box contains $56$ shirts.Two boxes between $\mathrm{T}$ and the bottom means $\mathrm{T}$ is at position 3.One box between $\mathrm{R}$ and the bottom means $\mathrm{R}$ is at position 4.Two boxes between $\mathrm{P}$ and $\mathrm{R}$ places $\mathrm{P}$ at position 1, so the top box is $\mathrm{P}$.The $41$-shirt box is one box away from $\mathrm{P}$ and is not at the top, so it must be $\mathrm{T}$. Hence $\mathrm{T} = 41$ shirts.$\mathrm{Q}$ contains $5$ more shirts than $\mathrm{T}$: $\mathrm{Q} = 41 + 5 = 46$ shirts.Only one box is between $\mathrm{Q}$ and the $41$-shirt box, so $\mathrm{Q}$ is at position 5.The remaining bottom position must be $\mathrm{S}$, because $\mathrm{U}$ contains $66$ shirts and $\mathrm{S}$ is below $\mathrm{U}$. Thus the bottom box $\mathrm{S}$ contains $56$ shirts.The top box $\mathrm{P}$ has $40$ fewer shirts than the box containing $90$ shirts, so $\mathrm{P} = 90 - 40 = 50$ shirts.Total shirts in top and bottom boxes $= \mathrm{P} + \mathrm{S} = 50 + 56 = 106$.Answer:Option A, $106$.