Competitive Exams : Reasoning Ability - Blood Relations (Set 3) | Concept of Maths

Question 1

1. If $A + B$ means $A$ is the mother of $B$; $A - B$ means $A$ is the brother of $B$; $A \times B$ means $A$ is the father of $B$. Which of the following shows that $P$ is the maternal uncle of $Q$?

A) $P - R + Q$

B) $P - S + Q$

C) $Q - S + P$

D) $P \times S + Q$

Answer

Correct Answer: B

Solution: To be a maternal uncle, $P$ must be the brother of $Q$'s mother. Evaluating $P - S + Q$: 1. $S + Q \implies S$ is the mother of $Q$. 2. $P - S \implies P$ is the brother of $S$. Therefore, $P$ is the brother of $Q$'s mother ($S$), making $P$ the maternal uncle of $Q$. Final Answer: Option B.

Question 2

2. Pointing to a photograph, a man said, "I have no brother or sister but that man's father is my father's son." Whose photograph was it?

A) His own

B) His father's

C) His son's

D) His nephew's

Answer

Correct Answer: C

Solution: Break down the statement: 1. "My father's son" $\implies$ Since the man has no sibling, he himself is his father's only son. 2. Simplify the phrase: "That man's father is ME." 3. If the father of the man in the photo is the speaker, then the photo represents the speaker's son. Final Answer: His son's.

Question 3

3. In a family of six persons $A, B, C, D, E$ and $F$, there are two married couples. $D$ is the grandmother of $A$ and mother of $B$. $C$ is the wife of $B$ and mother of $F$. $F$ is the granddaughter of $E$. Who is $C$ to $A$?

A) Mother

B) Grandmother

Question 4

4. If $A \div B$ means $A$ is the sister of $B$; $A \times B$ means $A$ is the daughter of $B$. In the expression $X \div Y \times Z$, how is $X$ related to $Z$?

A) Sister

B) Aunt

C) Mother

D) Daughter

Answer

Correct Answer: D

Solution: 1. $Y \times Z \implies Y$ is the daughter of $Z$. 2. $X \div Y \implies X$ is the sister of $Y$. 3. Since $X$ is the sister of daughter $Y$, $X$ must also be the daughter of $Z$. Final Answer: Daughter.

Question 5

5. $K$ is the brother of $N$ and $X$. $Y$ is the mother of $N$ and $Z$ is the father of $K$. Which of the following statements is definitely FALSE?

A) $K$ is the son of $Z$

B) $Y$ is the wife of $Z$

C) $N$ is the son of $Z$

D) $X$ is the child of $Y$

Answer

Correct Answer: C

Solution: 1. $K, N, X$ are siblings ($K$ is the male brother). 2. $Y$ is the mother of $N$, so $Y$ is the mother of $K$ and $X$ as well. 3. $Z$ is the father of $K$, so $Z$ is the father of $N$ and $X$ as well. Thus, $Y$ and $Z$ are married. 4. The options $A$, $B$, and $D$ are definitively proven TRUE by the problem data. 5. Option C asserts "$N$ is the son of $Z$". Because the gender profile of $N$ is unknown, it cannot be validated as definitely true, leaving it open to falsification in deductive tracking setups. Final Answer: Option C.

Question 6

6. $Q$ is the son of $P$. $X$ is the daughter of $Q$. $R$ is the aunt (bua) of $X$ and $L$ is the son of $R$. How is $L$ related to $P$?

A) Son

B) Grandfather

C) Grandson

D) Nephew

Answer

Correct Answer: C

Solution: 1. $Q$ is the son of $P$. 2. $X$ is the daughter of $Q$ ($X$ is $P$'s granddaughter). 3. $R$ is the paternal aunt (bua) of $X$, which implies $R$ is the sister of $Q$. 4. Since $R$ is the sister of $Q$, $R$ is the daughter of $P$. 5. $L$ is the son of $R$. Therefore, $L$ is the grandson of $P$. Final Answer: Grandson.

Question 7

7. If $P \# Q$ means $P$ is the father of $Q$; $P \$ Q$ means $P$ is the mother of $Q$; $P \% Q$ means $P$ is the sister of $Q$. How is $A$ related to $D$ in $A \% B \# C \$ D$?

A) Grandmother

B) Great Aunt

C) Grand-daughter

D) Sister

Answer

Correct Answer: B

Solution: 1. $C \$ D \implies C$ is the mother of $D$. 2. $B \# C \implies B$ is the father of $C$. 3. $A \% B \implies A$ is the sister of $B$. 4. Relationship track: $B$ is the maternal grandfather of $D$. 5. Since $A$ is the sister of grandfather $B$, she is the Great Aunt of $D$. Final Answer: Great Aunt.

Question 8

8. A family consists of six members $P, Q, R, S, T, U$. There are two married couples. $Q$ is a doctor and the father of $T$. $U$ is grandfather of $R$ and is a contractor. $S$ is grandmother of $T$ and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. $P$ is the mother of $R$. Who is the nurse?

A) $P$

B) $R$

C) $T$

D) $Q$

Answer

Correct Answer: A

Solution: 1. Gen 1: $U$ (Contractor) and $S$ (Housewife) form the grandparent married couple. 2. Gen 2: $Q$ (Doctor) is the father of $T$. 3. $P$ is the mother of $R$. As there are two couples, $P$ must be married to $Q$. 4. Gen 3: $R$ and $T$ are the children (Students). 5. Matching occupations: $P$ is the only member left to take the Nurse profile. Final Answer: $P$.

Question 9

9. $A$ is $B$'s sister. $C$ is $B$'s mother. $D$ is $C$'s father. $E$ is $D$'s mother. Then, how is $A$ related to $D$?

A) Grandmother

B) Grandfather

C) Granddaughter

D) Daughter

Answer

Correct Answer: C

Solution: 1. $A$ is the sister of $B$. 2. $C$ is the mother of $B$ (and therefore mother of $A$). 3. $D$ is the father of $C$. 4. Since $D$ is the father of $A$'s mother, $D$ is the maternal grandfather. 5. Thus, $A$ is the granddaughter of $D$. Final Answer: Granddaughter.

Question 10

10. Looking at a portrait of a man, Harsh said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Harsh looking?

A) His son's father

B) His cousin

C) His uncle

D) His son

Answer

Correct Answer: D

Solution: 1. "My father's son" $\implies$ Without siblings, Harsh is referring to himself. 2. "Wife of my father's son" $\implies$ Harsh's wife. 3. "His mother is Harsh's wife" $\implies$ The man in the portrait is the son of Harsh. Final Answer: His son.

Accepted Answer

Correct Answer: A

Solution: 1. $D$ is the grandmother of $A$ and mother of $B$. This implies $B$ is a parent of $A$. 2. $C$ is the wife of $B$, confirming $B$ is male (father) and $C$ is female. 3. Since $C$ is the mother of $F$, and $B$ is the father, $F$ and $A$ are siblings. 4. Therefore, $C$ (wife of father $B$) is the mother of $A$. Final Answer: Mother.

Competitive Exams : Reasoning Ability - Blood Relations (Set 3) | Concept of Maths