NIMCET 2015 — Reasoning PYQ

1. Establishing Blood Relations

• Generation 1: $A$ is the grandmother of $F$. Since there are two married couples, $A$ must be married. Let's look for $E$.

• Generation 2: $C$ is the daughter-in-law of $E$. This means $C$ is married to $E$'s son.

• Generation 3: $B$ is the son of $D$ and brother of $F$.

• Connecting the dots: * $A$ (Grandmother) is married to $E$ (Grandfather).

  • Their son is $D$, who is married to $C$ (Daughter-in-law).

  • $D$ and $C$ have two children: $B$ (Son) and $F$.

2. Determining Genders

• Females (-): $A$ (Grandmother), $C$ (Daughter-in-law).

• Males (+): $E$ (Grandfather), $D$ (Son/Husband), $B$ (Grandson).

• F's gender: $B$ is the brother of $F$. $F$ is a grandchild. Let's check the lady member rule. "No lady members likes Green or White."

3. Mapping Color Preferences

• $C$ (Female) = Black (Given).

• $B$ (Male) = Pink (Given).

• Rule: Wife of the husband who likes Green likes Yellow.

  • The couples are $(A,E)$ and $(C,D)$.

  • $C$ likes Black, so the couple $(C,D)$ cannot be the Green-Yellow pair.

  • Therefore, $A$ (Wife) likes Yellow and $E$ (Husband) likes Green.

• Since $A$ is a lady member and likes Yellow, this fits the rule that lady members don't like Green or White.

• Remaining members: $D$ and $F$.

• Remaining colors: Red and White.

• Lady members cannot like White. If $F$ were female, $F$ would have to like Red (since Black and Yellow are taken). But the clue says $F$ does not like Red.

• Therefore, $F$ must be male. $F$ likes White, and $D$ likes Red.

Summary Table:

Member	Relation	Gender	Color
$A$	Grandmother	Female	Yellow
$E$	Grandfather	Male	Green
$D$	Father	Male	Red
$C$	Mother	Female	Black
$B$	Son	Male	Pink
$F$	Grandson	Male	White

Answer:

The color preference of $A$ is Yellow.

Correct Option: (b) Yellow