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A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question: If the average marks in a class are 60, then what is the number of students in the class ?
Statement-I: The highest marks in the class are 70 and the lowest marks are 50.
Statement-II: Exclusion of highest and lowest marks from the class does not change the average.
Which one of the following is correct in respect of the above Question and the Statements ?
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
(b) The Question can be answered by using either Statement alone
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
(d) The Question cannot be answered even by using both the Statements together
- Statement-I: Only provides the range of marks, which doesn't help in determining the total number of students.
- Statement-II: Implies that removing the highest and lowest marks doesn't change the average. However, without knowing if any students have marks other than the highest and lowest, this information alone still doesn't help find the number of students.
- Option 1 (a): Incorrect. Neither statement alone provides enough information.
- Option 2 (b): Incorrect. Neither statement alone suffices.
- Option 3 (c): Still insufficient, as even using both statements together, the number of students remains unknown.
- Option 4 (d): Correct. Even with both statements, the number of students cannot be determined.
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