Direction : Study the following information carefully and answer the questions…

2019

Direction : Study the following information carefully and answer the questions given below:
P@Q means P is married to Q
P#Q means P is parent of Q
P&Q means P is sibling of Q and both are of same gender
P$Q means P is sibling of Q and both are of different gender
P+ means P is male
P* means P is female

If J@F*#T$R, V@R+#B&A, F#Q#D is true and D is only niece of T then, how is Q related to B?

Answer: E. Can’t be determinedConceptIn coded blood-relation problems, every symbol fixes one relationship link and the suffixes +/* fix gender. To find how two people relate, build the…

  1. A.

    Uncle

  2. B.

    Aunt

  3. C.

    Sister

  4. D.

    Brother

  5. E.

    Can’t be determined

Attempted by 10 students.

Show answer & explanation

Correct answer: E

Concept

In coded blood-relation problems, every symbol fixes one relationship link and the suffixes +/* fix gender. To find how two people relate, build the family tree link by link, decode each member's gender from every clue available, and only then read off the relation. A relation is DETERMINED only if every gender and link needed to name it is forced by the clues; if a required gender is left open, the relation stays open too.

Decoding the symbols

Symbol

Meaning

@

married to

#

parent of

&

sibling, SAME gender

$

sibling, DIFFERENT gender

+

male

*

female

Building the tree (step by step)

  1. J@F*#T$R : F is female (F*); J is married to F (so J is her husband, male); F is parent of T; and T$R means T and R are siblings of different gender. So J and F are the parents of T and R.

  2. V@R+#B&A : R is male (R+). Since T and R are different-gender siblings, T is therefore female. V is married to R (V is his wife); R is parent of B; B&A means B and A are same-gender siblings. So R and V are the parents of B and A.

  3. F#Q#D : F is parent of Q, so Q is another child of F and J — i.e. Q is a sibling of T and R. Q is parent of D.

  4. D is the only niece of T : 'niece' means a sibling's daughter (whether the sibling is a brother or a sister), so D is female. T's siblings are R and Q; D (Q's child) is T's niece. For D to be the ONLY niece, R's children B and A must not be female, so B and A are male.

Relating Q to B

B's father is R, and Q is R's sibling (both are children of F and J). So Q is a sibling of B's parent — that is, B's uncle or aunt. Which one it is depends entirely on Q's gender.

Cross-check: is Q's gender fixed?

No clue fixes Q's gender. Q is simply a child of F and J and a parent of D; a parent of a daughter can be either a father or a mother, and the symbols #, @ used for Q carry no +/* tag. The 'only niece' clue only forces B and A to be male — it says nothing about Q's gender.

Result

Because the puzzle leaves Q's gender open, the relation of Q to B cannot be pinned to one name: it can't be determined.

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