CAT 2001 — DILR Question 41
Answer the following question based on the information given below.
A and B are two sets (e.g. A = mothers, B = women). The elements that could belong to both the sets (e.g. women who are mothers) is given by the set C = A.B. The elements which could belong to either A or B, or both, is indicated by the set D = A ∪ B. A set that does not contain any elements is known as a null set, represented by Ï (for example, if none of the women in the set B is a mother, they C = A.B is a null set, or C = Ï).
Let 'V' signify the set of all vertebrates; 'M' the set of all mammals; 'D' dogs; 'F' fish; 'A' Alsatian and 'P', a dog named Pluto.
If Y = F. (D.V), is not a null set, it implies that
Answer & solution
- A
All fish are vertebrates
- B
All dogs are vertebrates
Some fish are dogs
- D
None of the above
Y = F.(D.V) implies some vertebrates are dogs and some vertebrate dogs are fishes.
∴ Some fishes are dogs.
Hence, option (c).