Three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All p are r.

Some r are c.

All c are d.

Conclusions:

I. Some d are p.

II. Some c are p.

Question

Question

This question was previously asked in

SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 24 Jun, 2024 Shift 2)

Answer 1

The least possible Venn diagram for the given statements is as shown below :

F1 SSC Priya 24 10 24 D73

Conclusions:

I. Some d are p → Does not follow (As all p are r, some r are c and all c are d. So it is possible but not definite.)

II. Some c are p → Does not follow (As all p are r and some r are c. So it is possible but not definite.)

∴ Here, Neither conclusion I nor II follows.

Hence, the correct answer is "Option 3"