Project ForgeGeneral Aptitude
Analytical Aptitude
GATE 2018
Medium
Consider the following three statements: (i) Some roses are red. (ii) All red flowers fade quickly. (iii) Some roses fade quickly.
Which of the following statements can be logically inferred from the above statements?
- AIf (i) is true and (ii) is false, then (iii) is false.
- BIf (i) is true and (ii) is false, then (iii) is true.
- If (i) and (ii) are true, then (iii) is true.
- DIf (i) and (ii) are false, then (iii) is false.
Explanation
If (i) is true (some roses are red) AND (ii) is true (all red flowers fade quickly), then those same 'some roses' that are red are also red flowers, so by (ii) they fade quickly — making (iii) true. This is a straightforward valid syllogism chain, unlike the other options which involve unsupported conditionals on false premises.
Source: GATE ME 2018 Session 1 (Set 1) (2018)
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