Question

Read the statements and decide which conclusions definitely follow.
Statements:
All Surrealists are melted clocks.
Some melted clocks are Dalis.
All Dalis are macabre works.
Conclusions:
(i) Some macabre works are Dalis.
(ii) Some macabre works are melted clocks.
(iii) Some Dalis are Surrealist.

• A. None of follows
• B. Only (i) follows
• C. Only (i) and (ii) follows
• D. Only (iii) follows

Hint:

Convert statements to set form: “All $X$ are $Y$” $⇒$ $X\subseteq Y$; “Some $Y$ are $Z$” $⇒$ existence of $Z$. Chain subsets and the “some” statement to test each conclusion.

Answer 1

The Correct Option is C

From “Some melted clocks are Dalis” $⇒$ Dalis exist.
“All Dalis are macabre works” $⇒$ those existing Dalis are macabre works, so (i) true.
Those same Dalis are also melted clocks, hence “Some macabre works are melted clocks” $⇒$ (ii) true.
“All Surrealists are melted clocks” does not imply any Dali is a Surrealist; we only know some melted clocks are Dalis, not that any Surrealist is a Dali. Therefore (iii) does not follow.
Thus, only (i) and (ii) follow.
\[ \boxed{\text{(C)}} \]