GAT Analytical Reasoning 2 — Questions and Answers
Question 1: Some doctors are researchers. All researchers are published authors. Which statement must be true?
- All doctors are published authors
- Some doctors are published authors (Correct answer)
- All published authors are researchers
- No doctors are published authors
Correct answer: Some doctors are published authors
The doctors who are researchers must also be published authors.
The first premise establishes that at least some doctors belong to the group of researchers. The second premise states that every researcher is a published author. Therefore those doctors who are researchers are published authors, meaning some doctors are published authors. The other options either overgeneralize or reverse the premises.
Question 2: Three boxes are labelled 'Apples', 'Oranges', and 'Apples and Oranges', but every label is wrong. You draw one fruit from the box labelled 'Apples and Oranges' and get an apple. What does that box actually contain?
- Apples only (Correct answer)
- Oranges only
- Apples and oranges
- Cannot be determined
Correct answer: Apples only
Because its label is wrong, the box cannot be mixed, so drawing an apple means it holds only apples.
The box labelled 'Apples and Oranges' cannot actually contain a mix, because all labels are wrong. It must therefore contain only apples or only oranges. Drawing an apple from it proves it contains only apples.
Question 3: A clock shows 3:00. What is the angle between the hour and minute hands?
- 60 degrees
- 75 degrees
- 90 degrees (Correct answer)
- 120 degrees
Correct answer: 90 degrees
At 3:00 the hour hand is at 3 and the minute hand at 12, a quarter turn apart.
A full clock face is 360 degrees divided into 12 hours, so each hour mark is 30 degrees apart. At 3:00 the minute hand points to 12 and the hour hand points to 3, three marks away. The angle is 3 × 30 = 90 degrees.
Question 4: Statement: 'Every student who passed the exam studied at least ten hours.' Which of the following, if true, would contradict this statement?
- A student who studied twelve hours failed
- A student who studied eight hours passed (Correct answer)
- A student who studied ten hours passed
- No student studied more than fifteen hours
Correct answer: A student who studied eight hours passed
A passing student with fewer than ten hours of study directly contradicts the claim.
The statement asserts that passing implies at least ten hours of study. A counterexample would be a student who passed with fewer than ten hours. Option B describes exactly such a student. Option A is consistent because the statement says nothing about students who failed.
Question 5: If 'some A are B' and 'no B are C', which conclusion is valid?
- Some A are not C (Correct answer)
- All A are C
- No A are C
- Some C are A
Correct answer: Some A are not C
The A that are B cannot be C, so some A are not C.
The first premise tells us there is at least one A that is also B. The second premise says nothing that is B can be C. Therefore that A, being B, is not C, which proves that some A are not C. The other conclusions either claim too much or reverse the relationships.
Question 6: Seven consecutive days include exactly one Monday. If the first day is Saturday, on which day of the sequence does the Monday fall?
- First
- Second
- Third (Correct answer)
- Fourth
Correct answer: Third
Saturday, Sunday, Monday: Monday is the third day.
Starting on Saturday, the second day is Sunday and the third day is Monday. Since seven consecutive days contain each weekday exactly once, this is the only Monday in the sequence. It therefore falls on the third day.
GAT Analytical Reasoning 2
Some doctors are researchers.
All researchers are published authors.
Which statement must be true?