Given that
- 1. Some dentists are Asians.
- 2. Some Asians are not pediatricians.
Which one among the following is not implied ?
Some people are not pediatricians
No pediatricians are Asians
Some Asians are dentists
There may be dentists who are not Asians
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2011
1. Some dentists are Asians. (Overlap between Dentists and Asians)
2. Some Asians are not pediatricians. (Some Asians are outside the group of Pediatricians)
Statement 2 only tells us that the set of Asians is not entirely contained within the set of Pediatricians. It does not preclude the possibility that some pediatricians are also Asians. It is entirely consistent with the statements that some, or even many, pediatricians are Asian. Therefore, the statement ‘No pediatricians are Asians’ is not a necessary conclusion and is thus not implied.
A) Some people are not pediatricians: Asians are people. Statement 2 says some Asians are not pediatricians. Thus, some people are not pediatricians. This is implied.
C) Some Asians are dentists: This is the direct meaning of Statement 1. This is implied.
D) There may be dentists who are not Asians: Statement 1 says *some* dentists are Asians. This leaves open the possibility that there are other dentists who are not Asian. This possibility is consistent with the statements and is not ruled out. In the context of logic puzzles, if a possibility is consistent with the premises, the statement that this possibility *may* exist is often considered implied. Option B, however, is a definite statement that is not supported by the premises and can be false.