Some students are diligent. All diligent people succeed. Therefore, some student

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Question: Some students are diligent. All diligent people succeed. Therefore, some students succeed. (2023)

Options:

Correct Answer: True

Exam Year: 2023

Solution:

The conclusion logically follows from the premises.

Some students are diligent. All diligent people succeed. Therefore, some students succeed. (2023)

Some students are diligent. All diligent people succeed. Therefore, some students succeed. (2023)

Step 1: Identify the premises. The first premise is 'Some students are diligent.' The second premise is 'All diligent people succeed.'
Step 2: Understand what 'some' means. 'Some students are diligent' means there is at least one student who is diligent.
Step 3: Understand the second premise. 'All diligent people succeed' means that every person who is diligent will succeed.
Step 4: Combine the information. Since there is at least one diligent student (from Step 2) and all diligent people succeed (from Step 3), that diligent student must succeed.
Step 5: Conclude. Therefore, since at least one student (the diligent one) succeeds, we can say 'some students succeed.'

Logical Deduction – The ability to derive a conclusion from given premises using logical reasoning.
Quantifiers in Logic – Understanding the implications of 'some' and 'all' in logical statements.