Question

A family consists of six members P, Q, R, X, Y and Z. Q is the son of R but R is not mother of Q. P and R are a married couple. Y is the brother of R. X is the daughter of P. Z is the brother of P. Which is a pair of brothers ?
A) P and X B) P and Z C) Q and X D) R and Y

Answer 1

Answer:

✩ DIAGRAM :

$\setlength{\unitlength}{1.8mm}\begin{picture}(8,2) \linethickness{.26mm}\put(5,2){\Large\sf Z^+ }\put(21,2.7){\vector( - 1,0){12}}\put(12,3.4){\sf Brother}\put(22,2){\Large\sf P^- }\put(33,2.7){\vector( - 1,0){7}}\put(33,2.7){\vector(1,0){7}}\put(41,2){\Large\sf R^+ }\put(30,3.4){\sf Married}\put(45,2.7){\vector(1,0){12}}\put(48,3.4){\sf Brother}\put(57.5,2){\Large\sf Y^+ }\put(42,1.5){\vector(0,-1){12}}\put(43, - 5){\sf Son}\put(41,-14){\Large\sf Q^+ }\put(23,1.5){\vector(0,-1){12}}\put(14.5, - 5){\sf Daughter}\put(21,-14){\Large\sf X^- }\put(33, - 13){\vector( - 1,0){7}}\put(33, - 13){\vector(1,0){7}}\put(30,- 12.2){\sf Siblings}\end{picture}$

⠀⠀⠀$\rule{160}{0.8}$

◉ Q is the son of R but R is not mother of Q.

If R isn't Mother of Q , then R is Father of Q

⠀

◉ P and R are a married couple.

In the above statement we seen R is Father of Q , and so R is a Male. Hence , P is Female & Wife of R & Mother of Q

⠀

◉ Y is the brother of R.

Y is Male & Brother of R

⠀

◉ X is the daughter of P.

X is daughter of P too & Sister of Q (Son of P & Q)

⠀

◉ Z is the brother of P.

Z in Male & Brother of P

$\rule{180}{1.5}$

☢ Here we can see that we have three Pairs of Siblings :

• R (Male) & Y (Male)
• X (Female) & Q (Male)
• Z (Male) & P (Female)

⠀

So we can see that we have only one pair of Brothers i.e. R and Y Pair

⠀

$\therefore\:\underline{\textsf{Correct required answer is D) \textbf{R and Y}}}.$