MAT Exam 2024 Paper

Concept:Average daily wages for five days requires the total wages for all five working days.Explanation:Statement I gives total wages for the first four days as $\text{₹}400$.The fifth day's wage is still unknown.So, the total five-day wage cannot be determined from statement I alone.Hence, statement I alone is not sufficient.Statement II says the worker earned $20\%$ more each day than the previous day.Given the first day's wage is $\text{₹}80$, the five daily wages are formed as a geometric progression:$80,\; 80(1.2),\; 80(1.2)^2,\; 80(1.2)^3,\; 80(1.2)^4$.Thus, the total wages for five days can be calculated exactly.Average daily wages $= \frac{\text{total wages for five days}}{5}$.Therefore, statement II alone is sufficient to answer the question.Answer:Option B: If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.