NIMCET 2015 Reasoning PYQ — Directions : In a family of six person A, B, C, D, E and F ther… | Mathem Solvex | Mathem Solvex
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NIMCET 2015 — Reasoning PYQ
NIMCET | Reasoning | 2015
Directions : In a family of six person A, B, C, D, E and F there are two married couples. D is grandfather of A and mother B. C is wife of B and mother F. F is the granddaughter of E. Which of the following is true?
Choose the correct answer:
A.
A is brother of F
B.
A is sister of F
C.
B has two daughters
D.
None of these
(Correct Answer)
Correct Answer:
None of these
Explanation
Analyze the generations:
D is the grandfather of A.
D is the father of B (Note: The prompt says "D is grandfather of A and mother B," but in standard reasoning contexts, this is usually a typo for "father of B" or "mother of B." However, since D is a grandfather, D must be Male).
C is the wife of B. This means (B & C) is one married couple. Since C is the wife, B is Male.
C is the mother of F.
Identify the second couple:
There are two married couples. Since D is a grandfather and there is an E mentioned, (D & E) must be the other married couple.
F is the granddaughter of E. This confirms E is the grandmother and the wife of D.
Determine Gender and Relationships:
Couples:(D+⟺E−) and (B+⟺C−)
Children of B and C: They are the parents of F and A (since D is the grandfather of A and the father of B).
Genders:
F is a granddaughter, so F is Female.
A's gender is not mentioned. The clues do not specify if A is a boy or a girl.
Evaluate the Options:
(a) A is brother of F: We don't know A's gender.
(b) A is sister of F: We don't know A's gender.
(c) B has two daughters: If A is a girl, this is true. If A is a boy, this is false. Since we don't know, we cannot confirm this as a absolute truth.
Conclusion:
Since the gender of A is not defined in the text, we cannot definitively say if A is a brother or a sister, nor can we confirm the exact number of daughters B has.
Correct Option: (d) None of these
Explanation
Analyze the generations:
D is the grandfather of A.
D is the father of B (Note: The prompt says "D is grandfather of A and mother B," but in standard reasoning contexts, this is usually a typo for "father of B" or "mother of B." However, since D is a grandfather, D must be Male).
C is the wife of B. This means (B & C) is one married couple. Since C is the wife, B is Male.
C is the mother of F.
Identify the second couple:
There are two married couples. Since D is a grandfather and there is an E mentioned, (D & E) must be the other married couple.
F is the granddaughter of E. This confirms E is the grandmother and the wife of D.
Determine Gender and Relationships:
Couples:(D+⟺E−) and (B+⟺C−)
Children of B and C: They are the parents of F and A (since D is the grandfather of A and the father of B).
Genders:
F is a granddaughter, so F is Female.
A's gender is not mentioned. The clues do not specify if A is a boy or a girl.
Evaluate the Options:
(a) A is brother of F: We don't know A's gender.
(b) A is sister of F: We don't know A's gender.
(c) B has two daughters: If A is a girl, this is true. If A is a boy, this is false. Since we don't know, we cannot confirm this as a absolute truth.
Conclusion:
Since the gender of A is not defined in the text, we cannot definitively say if A is a brother or a sister, nor can we confirm the exact number of daughters B has.