CAT 1999DILR Question 21

SyllogismsEasy

Directions: Each question has a set of four statements. Each statement has three segments. Choose the alternative where the third segment in the statement can be logically deduced using both the preceding two, but not just from one of them.

A. Citizens of Yes Islands speak only the truth. Citizens of Yes Islands are young people. Young people speak only the truth.
B. Citizens of Yes Islands speak only the truth. Some Yes Islands are in Atlantic. Some citizens of Yes Islands are in the Atlantic.
C. Citizens of Yes Islands speak only the truth. Some young people are citizens of Yes Islands. Some young people speak only the truth.
D. Some people speak only the truth. Some citizens of Yes Islands speak only the truth. Some people who speak only the truth are citizens of Yes Islands.

Answer & solution

  • A

    A only

  • B

    B only

  • C only

  • D

    D only

Solution

(c) Only C is the correct answer choice.
Statement A is invalid. We cannot conclude about ‘all YP’, but only about ‘Some YP’ (shaded portion) who are, incidentally, ‘all CY’.

CYI = Citizens of Yes Islands
ST = People who speak only the truth
YP = Young people
Statement B is invalid, because it has four terms:
a. Citizens of Yes Islands
b. People who speak only the truth
c. Things that are in the Atlantic
d. Yes Islands
Statement C is valid. The ‘Some YP’ who are CYI also are people who speak only the truth. (shaded portion)

Statement D is invalid, because the ‘some people’ and the ‘some CYI’ need not have any relationship between them, just because both speak only the truth.

CAT 1999 DILR Q21: Directions: Each question has a set of four statements. Each statement has three segments. Choose the alternat — Solution | TheCATExam