The question contains some statements followed by some conclusions. Decide…
2023
The question contains some statements followed by some conclusions. Decide which of the given conclusions logically follow from the given statements, disregarding commonly known facts.
Statements
Some mobiles are cameras.
Some cameras are calculators.
Conclusions
I. All calculators are mobiles.
II. All cameras are mobiles.
- A.
Only conclusion I follows.
- B.
Only conclusion II follows.
- C.
Neither I nor II follows
- D.
Both I and II follow.
Attempted by 105 students.
Show answer & explanation
Correct answer: C
Answer: Neither conclusion I nor II follows.
Why conclusion I does not follow: The premises only state that some mobiles are cameras and some cameras are calculators; they do not imply every calculator is a mobile. Counterexample: let cameras = {c1, c2}, mobiles = {c1}, calculators = {c2}. Element c2 is a calculator but not a mobile.
Why conclusion II does not follow: The premises allow cameras that are not mobiles. Using the same example, c2 is a camera but not a mobile, so not all cameras are mobiles.
Therefore, neither conclusion follows from the given statements.