NIMCET 2015 Reasoning PYQ — Directions : In a family of six persons A, B, C, D, E and F there… | Mathem Solvex | Mathem Solvex
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NIMCET 2015 — Reasoning PYQ
NIMCET | Reasoning | 2015
Directions :
In a family of six persons A, B, C, D, E and F there are two married couples.
D is grandfather of A and father of B.
C is wife of B and mother of F.
F is the granddaughter of E. How many male members are there in the family?
Choose the correct answer:
A.
Two
B.
Three
C.
Four
D.
Cannot be determined
(Correct Answer)
Correct Answer:
Cannot be determined
Explanation
Step 1: Assign genders based on roles
D is grandfather of A: Since D is a "grandfather," D is male. →(D+)
D is father of B: Confirms D is male.
C is wife of B: This establishes a married couple where C is female and B must be male. →(C−) and (B+)
F is granddaughter of E: Since F is a "granddaughter," F is female. →(F−)
Two married couples: We have one couple (B+⟺C−). The other couple must be in the grandparent generation. Since D is the grandfather, his wife must be E. Thus, E is female. →(E−)
Step 2: Summarize the known genders
D: Male (+)
E: Female (−)
B: Male (+)
C: Female (−)
F: Female (−)
A: The gender of A is not mentioned. A is a grandchild of D and E, and a sibling of F, but the text does not specify if A is a grandson or granddaughter.
Step 3: Count the males
The list of members is:
Males={D,B, (A?)}
Females={E,C,F, (A?)}
Since the gender of A is unknown, we cannot determine the exact number of male members. It could be 2 (if A is female) or 3 (if A is male).
Correct Option:
(d) Cannot be determined
Explanation
Step 1: Assign genders based on roles
D is grandfather of A: Since D is a "grandfather," D is male. →(D+)
D is father of B: Confirms D is male.
C is wife of B: This establishes a married couple where C is female and B must be male. →(C−) and (B+)
F is granddaughter of E: Since F is a "granddaughter," F is female. →(F−)
Two married couples: We have one couple (B+⟺C−). The other couple must be in the grandparent generation. Since D is the grandfather, his wife must be E. Thus, E is female. →(E−)
Step 2: Summarize the known genders
D: Male (+)
E: Female (−)
B: Male (+)
C: Female (−)
F: Female (−)
A: The gender of A is not mentioned. A is a grandchild of D and E, and a sibling of F, but the text does not specify if A is a grandson or granddaughter.
Step 3: Count the males
The list of members is:
Males={D,B, (A?)}
Females={E,C,F, (A?)}
Since the gender of A is unknown, we cannot determine the exact number of male members. It could be 2 (if A is female) or 3 (if A is male).
