In each of the following questions two statements are given. Which are…
2024202420232024
In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements. Statements: All green are blue. All blue are white. Conclusions: 1. Some blue are green. 2. Some white are green. 3. Some green are not white. 4. All white are blue.
- A.
Only (1) and (2)
- B.
Only (1) and (3)
- C.
Only (1) and (4)
- D.
Only (2) and (4)
Attempted by 265 students.
Show answer & explanation
Correct answer: A
Answer: Only the conclusions 'Some blue are green' and 'Some white are green' follow.
Reasoning:
From the statements, every green is blue and every blue is white, so all green items are also blue and white (green is a subset of blue, which is a subset of white).
Therefore, if there exists at least one green item (the usual implicit assumption in these questions), then there will be some blue that are green and some white that are green, so those two conclusions follow.
The statement 'Some green are not white' is false because every green is white under the given premises.
The statement 'All white are blue' does not follow because the premises only establish that all blue are white, not that all white are blue (the direction of inclusion is not reversible).