GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 7 of 65

Marks: +1, -0

Consider the following three statements:
1. Some roses are red
2. All red flowers fade quickly.
3. Some roses fade quickly.
Which of the following statements can be logically inferred from the above statements?

If (i) is true and (ii) is false, then (iii) is false.
If (i) is true and (ii) is false, then (iii) is true.
If (i) and (ii) are true, then (iii) is true.
If $( {i})$ and (ii) are false, then (iii) is false.

Validate

Solution:

Solving by options
Option A: Even if statement

2^{\;\text "nd "\;}

is false, i.e. All red flowers do not fade quickly, that does not mean that some roses won't fade quickly.

Option B: There can be a possibility that no rose fade quickly

Option C: This is true in all possibilities.

Option D: There can be a possibility that some roses do fade quickly.

Hence option C is the only correct option.

Go to Question:

Prev Question

Next Question