Three Statements are given followed by Three conclusions numbered I, II, and III. 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 ‘alphas’ are ‘betas’.
No ‘beta’ is a ‘gamma’.
Some ‘thetas’ are ‘alphas’.
Conclusions:
I. Some gammas are alphas.
II. Some thetas are betas.
III. No alpha is a gamma
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3. i.e. Both conclusions II and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some gammas are alphas → False (It is possible but no definite conclusion can be drawn.)
II. Some thetas are betas → True (As all alphas are betas, and some thetas are alphas, so, some thetas are betas is also true.)
III. No alpha is a gamma → True (As all alphas are betas, and no beta is a gamma, so, no alpha is a gamma is also true.)