2023 · Q97
Question: Is average of the largest and the smallest of 4 given numbers greater than the average of the 4 numbers?
Statement IThe difference between the largest and the second largest numbers is less than the difference between the second smallest and the smallest of the numbers.
Statement IIThe difference between the largest and the smallest numbers is greater than the difference between the second largest and the second smallest of the numbers. Mark option (a) if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone. Mark option (b) if the question can be answered by using either statement alone. Mark option (c) if the question can be answered by using both the statements together, but cannot be answered using either statement alone. Mark option (d) if the question cannot be answered even by using both the statements together.
Elementary MathematicsStatistics
- AThe question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
- BThe question can be answered by using either statement alone
- CThe question can be answered by using both the statements together, but cannot be answered using either statement alone
- DThe question cannot be answered even by using both the statements together
Explanation
St.I: a-b<c-d i.e. a+d>b+c gives (a+d)/2>(a+b+c+d)/4: sufficient alone; St.II irrelevant. 1 only. Option (a).