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

Concept

In a coded blood-relation puzzle, each symbol fixes one relationship or one gender. Decode the symbols first, then build a family tree generation by generation. Counting the males only needs the gender of every member, so resolve every gender clue (the +/* tags and the same-gender/different-gender sibling symbols) before counting.

Decoding the symbols

• P@Q = P is married to Q

• P#Q = P is the parent of Q

• P&Q = P and Q are siblings of the SAME gender

• P$Q = P and Q are siblings of DIFFERENT genders

• P+ = P is male ; P* = P is female

Application — building the tree

1. J@F* and F*#T: J is married to F (F is female), so J is male; F is a parent of T.

2. T$R: T and R are siblings of different genders. R+ marks R male, so T is female. R is also a child of J and F.

3. F#Q and Q+: F is a parent of Q and Q is male, so Q is a son of J and F. The three children of J and F are T (female), R (male) and Q (male).

4. V@R+ and R#B, B&A: V is married to R, so V is female; R and V have children B and A, who are siblings of the same gender.

5. Q+@W and W#N, Q#D: Q is married to W (so W is female); Q and W have children D and N.

Using 'D is the only niece of T'

A niece of T is a daughter of T's siblings, i.e. a female grandchild born to R or Q. The grandchildren are B and A (from R) and D and N (from Q). If D is the ONLY niece, every other grandchild must be male — so B, A and N are all male (consistent with B&A being the same gender).

Cross-check — full roster

• Generation 1: J (male), F (female)

• Generation 2: T (female), R (male), Q (male), plus spouses V (female) and W (female)

• Generation 3: B (male), A (male), D (female), N (male)

Males: J, R, Q, B, A, N — that is 6 males. Females: F, T, V, W, D — 5. The family has 6 male members.