Question : Direction: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

Statements

I. Some keys are locks, and some locks are numbers.

II. All numbers are letters, all letters are words.

Conclusions

I. Some words are numbers.

II. Some locks are letters.

Option 1:

Conclusion I follows

Option 2:

Conclusion II follows

Option 3:

Both conclusions I and II follow

 

Option 4: None of the conclusion follows

Correct Answer:

Both conclusions I and II follow

Solution : Given:

Statements

I. Some keys are locks, and some locks are numbers.

II. All numbers are letters, all letters are words.

Let's use a Venn diagram to evaluate each conclusion:

I. Some words are numbers.
This conclusion logically follows from the given statements. If all numbers are letters, and some letters are words, then there must be an intersection between words and numbers.

II. Some locks are letters.
This conclusion also logically follows from the given statements. If some locks are numbers, and all numbers are letters, then there must be an intersection between locks and letters.

Both conclusions I and II are supported by the given statements.

Hence, the third option is correct.