Question : Direction: In the following questions, two statements are given followed by four conclusions I, II, III, and IV. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statement
I. Ravi has five pens.
II. No one else in the class has five pens.
Conclusion
I. All the students in the class have pens.
II. All students in the class have five pens each.
III. Some of the students have more than five pens.
IV. Only one student in the class has exactly five pens.
Option 1: Only conclusion I follows.
Option 2: Only conclusion III follows.
Option 3: Only conclusion II follows.
Option 4: Only conclusion IV follows.
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Correct Answer: Only conclusion IV follows.
Solution : Given:
Statement
I. Ravi has five pens.
II. No one else in the class has five pens.
Now, let's consider the conclusions:
I. All the students in the class have pens.
This conclusion does not necessarily follow from the given statements. While Statement I tells us that Ravi has five pens, it doesn't provide information about the other students in the class. Some students may have pens, but the statement does not imply that every student has a pen. So, Conclusion I is not necessarily true.
II. All students in the class have five pens each.
This conclusion is not supported by the given statements. The statements do not mention that any other students have five pens, so we cannot conclude that all students have five pens each.
III. Some of the students have more than five pens.
This conclusion cannot be determined based on the given statements. Statement I only mentions that Ravi has five pens, but it doesn't provide information about the number of pens other students have. We don't know whether some students have more than five pens based on the information given.
IV. Only one student in the class has exactly five pens.
This conclusion is indeed true, based on the given statements. Statement I mentions that Ravi has five pens, and Statement II explicitly states that no one else in the class has five pens. Therefore, we can logically conclude that only one student in the class (Ravi) has exactly five pens.
So, Conclusion IV is the correct conclusion based on the provided statements.
Hence, the fourth option is correct.
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