Question

All Engineers know Mathematics. Some Coders are Engineers. No Artist is an Engineer. Which of the following conclusions necessarily follows?
I. Some Coders know Mathematics.
II. Some Mathematicians can also Code.
III. Some Artists know Mathematics.
Select the most appropriate option:

• A. Only II follows
• B. Only I follows
• C. Both I and II follow
• D. Only III follows

Hint:

For syllogisms, carefully trace subset relationships to see which conclusions logically follow.

Answer 1

The Correct Option is B

Step 1: Analyze statements —
All Engineers ⊆ Mathematicians
Some Coders ⊆ Engineers → Therefore, some Coders ⊆ Mathematicians
No Artist ⊆ Engineer
Step 2: Evaluate conclusions —
I. Some Coders know Mathematics → True.
II. Some Mathematicians can also Code → Not necessarily true.
III. Some Artists know Mathematics → Not necessarily true.
Step 3: Conclusion — Only I follows.