Logical Deductions — Prelims Questions

Consider the following statements: 1. All books are papers. 2. Some papers are pens. 3. No pen is a pencil. Which of the following conclusions logically follows from the given statements?

If a student studies diligently, they will pass the exam. If a student passes the exam, they will be eligible for a scholarship. Ram did not get a scholarship. What can be logically concluded?

Consider the following statements: 1. Only honest people are trustworthy. 2. Some trustworthy people are kind. Which of the following conclusions can be drawn?

Statements: 1. All fruits are sweet. 2. Some sweet things are sour. Conclusions: I. Some fruits are sour. II. No fruit is sour. Which of the following is correct?

Statements: 1. All politicians are honest. 2. All honest people are trustworthy. 3. Some trustworthy people are corrupt. Which of the following conclusions is definitely false?