In each of the following questions there are three statements. Which are…
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In each of the following questions there are three statements. Which are followed by three or four conclusions. Choose the conclusions which logically follow from the given statements.
Statements: Some cars are jeeps.
All the boxes are jeeps.
All the pens are cars.
Conclusions: 1. Some cars are boxes.
2. No pen is jeep.
3. Some boxes are cars.
- A.
None of three
- B.
Only (1) and (2)
- C.
Only (1) and (3)
- D.
Only (2) and (3)
Attempted by 57 students.
Show answer & explanation
Correct answer: A
Answer: None of the three follows.
Given statements:
Some cars are jeeps.
All the boxes are jeeps. (boxes ⊂ jeeps)
All the pens are cars. (pens ⊂ cars)
Reasoning:
Conclusion 1 — Some cars are boxes: Not guaranteed. Boxes are entirely inside jeeps while cars only partially overlap jeeps; boxes could lie entirely outside the part of jeeps that overlaps cars, so we cannot be sure any box is a car.
Conclusion 2 — No pen is jeep: Not guaranteed. Pens are a subset of cars and since some cars are jeeps, it is possible that some pens are jeeps. The statement that no pen is a jeep cannot be concluded.
Conclusion 3 — Some boxes are cars: Not guaranteed for the same reason as conclusion 1: boxes ⊂ jeeps and cars only partly overlap jeeps, so boxes might not overlap cars at all.
Final conclusion: None of the three conclusions necessarily follows from the given statements.