MAT Exam 2021 Paper

Concept:Compare the number of possible hat-shirt sets for matching versus non-matching colours.Explanation:There are $3$ green hats and $3$ shirts: $1$ black, $1$ green, and $1$ blue.For Quantity A, hat colour must be the same as shirt colour.Only the green shirt can be paired with any of the $3$ green hats.So Quantity A $= 3 \times 1 = 3$ sets.For Quantity B, hat colour must be different from shirt colour.The green hats can be paired with the black shirt: $3$ sets.The green hats can also be paired with the blue shirt: $3$ sets.Total Quantity B $= 3 + 3 = 6$ sets.Since $6 > 3$, Quantity B is greater than Quantity A.Answer:Option (b) is correct: Quantity B is greater than Quantity A.