Question

Consider two Statements and four Conclusions given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusion(s) logically follows/follow from the Statements, disregarding the commonly known facts

Statement-1: Some greens are blues.

Statement-2: Some blues are blacks.

Conclusion-1: Some greens are blacks.

Conclusion-2: No green is black

Conclusion-3: All greens are blacks.

Conclusion-4: All blacks are greens.

Which one of the following is correct?

(a) Conclusion-1 and Conclusion-2 only

(b) Conclusion-2 and Conclusion-3 only

(c) Conclusion-3 and Conclusion-4 only

(d) Neither Conclusion 1 nor 2 nor 3 nor 4

Answer 1

Correct option is (d) Neither Conclusion 1 nor 2 nor 3 nor 4

The least possible logical Venn diagram according to given statements is,

Conclusion - 1: Some greens are blacks - False (It can be possible, but not a definite).

Conclusion - 2: No green is black - False (It can be possible, but not a definite).

Conclusion - 3: All greens are blacks - False (It can be possible, but not a definite).

Conclusion - 4: All blacks are greens - False (It can be possible, but not a definite).

Hence, Neither Conclusion 1 nor 2 nor 3 nor 4 follows.