Blood Relations Questions in English

(C) To determine that $S$ is the niece of $T$,$S$ must be female and the daughter of $T$'s brother or sister.
Given: $(A)$ $P + Q$ ($P$ is brother of $Q$),$(B)$ $P \times Q$ ($P$ is father of $Q$),$(C)$ $P - Q$ ($P$ is sister of $Q$).
In option $(A)$,$T \times M + S - K$:
$T$ is the father of $M$,$M$ is the brother of $S$,and $S$ is the sister of $K$.
Here,$S$ is the daughter of $T$,so $S$ is not the niece of $T$.
In option $(C)$,$T + M \times S - K$:
$T$ is the brother of $M$,$M$ is the father of $S$,and $S$ is the sister of $K$.
Since $T$ is the brother of $S$'s father $(M)$ and $S$ is female (because $S - K$ means $S$ is the sister of $K$),$S$ is the niece of $T$.
Therefore,the correct option is $(C)$.

(D) To determine which information is redundant,we analyze the necessity of each statement for solving the problem. Based on logical deduction,statement $(D)$ provides information that is not required to arrive at the final answer. Therefore,statement $(D)$ can be dispensed with.

(D) To determine if $A$ is the daughter of $B$,we need to find a relationship where $A$ is female and is the child of $B$.
$1$. In the expression $A - D \times B$:
$2$. $A - D$ means $A$ is the sister of $D$.
$3$. $D \times B$ means $D$ is the son of $B$.
$4$. Since $A$ is the sister of $D$ and $D$ is the son of $B$,it follows that $A$ must be the daughter of $B$.

(B) Given expressions: $X - Z$ (Mother),$X \times Z$ (Father),$X + Z$ (Daughter).
Analyze $M - N \times T + Q$:
$1$. $M - N$ means $M$ is the mother of $N$.
$2$. $N \times T$ means $N$ is the father of $T$.
$3$. $T + Q$ means $T$ is the daughter of $Q$.
Since $N$ is the father of $T$ and $T$ is the daughter of $Q$,$N$ and $Q$ are parents of $T$. Thus,$N$ is the husband and $Q$ is the wife.
- $T$ is $N$'s daughter: True.
- $N$ is the husband of $Q$: True.
- $M$ is the mother-in-law of $Q$: True (since $M$ is the mother of $N$,who is $Q$'s husband).
- $Q$ is the wife of $N$: True.
Wait,re-evaluating the options: The question asks which is $NOT$ true. Based on the logic,$N$ is the father of $T$ and $T$ is the daughter of $Q$,so $N$ is the husband of $Q$. Option $(b)$ says $N$ is the wife of $Q$,which is false.

(C) Given the expression $P + R + S + Q$.
According to the definition $A + B$ means $A$ is the father of $B$.
$1$. $P + R$ means $P$ is the father of $R$.
$2$. $R + S$ means $R$ is the father of $S$.
$3$. $S + Q$ means $S$ is the father of $Q$.
Combining these,$P$ is the father of $R$,$R$ is the father of $S$,and $S$ is the father of $Q$. Thus,$P$ is the grandfather of $Q$. However,based on the provided options and the logic of blood relations,if we interpret the sequence as a family tree where $P$ is the father of $R$,$R$ is the father of $S$,and $S$ is the father of $Q$,then $P$ is the grandfather of $Q$. Since the question asks for the true statement and the provided solution suggests $P$ is the aunt,there is a discrepancy in the provided operators. Assuming the standard interpretation of the logic provided in the prompt: $P$ is the father of $R$,$R$ is the father of $S$,and $S$ is the father of $Q$.

(A) Given expression: $P - R + Q$.
$P - R$ means $P$ is the wife of $R$.
$R + Q$ means $R$ is the father of $Q$.
Since $P$ is the wife of $R$ and $R$ is the father of $Q$,it follows that $P$ is the mother of $Q$.

(D) Given the relations:
$1$. $A + B \implies A$ is the father of $B$.
$2$. $A - B \implies A$ is the wife of $B$.
$3$. $A \times B \implies A$ is the brother of $B$.
$4$. $A \div B \implies A$ is the daughter of $B$.
Analyze the expression $P \times R \div Q$:
Step $1$: $P \times R$ means $P$ is the brother of $R$.
Step $2$: $R \div Q$ means $R$ is the daughter of $Q$.
Conclusion:
Since $P$ is the brother of $R$ and $R$ is the daughter of $Q$,it follows that $P$ is also the child of $Q$. Because $P$ is the brother (male),$P$ must be the son of $Q$.

(A) Given expression: $P \times R - Q$.
$1$. $P \times R$ means $P$ is the brother of $R$.
$2$. $R - Q$ means $R$ is the wife of $Q$.
$3$. Combining these,$P$ is the brother of $R$,and $R$ is married to $Q$.
$4$. Therefore,$P$ is the brother of the wife of $Q$,which makes $P$ the brother-in-law of $Q$.

(C) Given the relations:
$A + B$ means $A$ is the father of $B$.
$A \div B$ means $A$ is the daughter of $B$.
For the expression $P + R \div Q$:
$1$. $P + R$ implies $P$ is the father of $R$.
$2$. $R \div Q$ implies $R$ is the daughter of $Q$.
Since $P$ is the father of $R$ and $R$ is the daughter of $Q$,it follows that $P$ and $Q$ are parents of $R$.
Therefore,$P$ is the husband of $Q$.

(D) Given the expression $P \div R + Q$.
Step $1$: $P \div R$ means $P$ is the daughter of $R$.
Step $2$: $R + Q$ means $R$ is the father of $Q$.
Step $3$: Since $P$ is the daughter of $R$ and $Q$ is also a child of $R$,$P$ and $Q$ are siblings.
Step $4$: Since $P$ is the daughter,$P$ must be the sister of $Q$.

(A) Given the relations:
$A + B$ means $A$ is the father of $B$.
$A \times B$ means $A$ is the brother of $B$.
In the expression $P \times R + Q$:
$1$. $P \times R$ means $P$ is the brother of $R$.
$2$. $R + Q$ means $R$ is the father of $Q$.
Since $P$ is the brother of $R$ and $R$ is the father of $Q$,$P$ is the uncle of $Q$.

(C) Given the expression: $P - R \times Q$.
$1$. $P - R$ means $P$ is the wife of $R$.
$2$. $R \times Q$ means $R$ is the brother of $Q$.
$3$. Since $P$ is the wife of $R$ and $R$ is the brother of $Q$,$P$ is the sister-in-law of $Q$.

(C) $P$ is the brother of $Q$.
$M$ is the sister of $Q$.
$T$ is the brother of $P$.
Since $T$ is the brother of $P$ and $P$ is the brother of $Q$,$T$ is also a sibling of $Q$.
However,the gender of $Q$ is not specified in the problem statement.
Therefore,$Q$ could be either the brother or the sister of $T$.

(A) Seema's grandfather's only child is either Seema's father or Seema's mother.
Since the boy is the son of that only child,the boy must be Seema's brother.

(B) Given expressions:
$1$. $A \times B \implies B$ is the father of $A$.
$2$. $A + B \implies A$ is the wife of $B$.
$3$. $A \div B \implies A$ is the brother of $B$.
Analyze the expression $J + H \div R \times L$:
- $J + H$: $J$ is the wife of $H$.
- $H \div R$: $H$ is the brother of $R$.
- $R \times L$: $L$ is the father of $R$.
Combining these:
- Since $H$ is the brother of $R$ and $L$ is the father of $R$,$L$ is also the father of $H$.
- $J$ is the wife of $H$,and $H$ is the son of $L$.
- Therefore,$J$ is the daughter-in-law of $L$.

(A) To be the maternal uncle of $T$,$R$ must be the brother of $T$'s mother.
Let's analyze option $A$: $R - M \times T$
$1$. $R - M$ means $R$ is the brother of $M$.
$2$. $M \times T$ means $M$ is the mother of $T$.
$3$. Since $R$ is the brother of $M$ and $M$ is the mother of $T$,$R$ is the maternal uncle of $T$.
Therefore,the correct option is $A$.

(B) To determine if $F$ is the paternal grandfather of $H$,$F$ must be the father of $H$'s father.
$1$. Analyze option $B$: $F \div J \div H$
$2$. $F \div J$ means $F$ is the father of $J$.
$3$. $J \div H$ means $J$ is the father of $H$.
$4$. Since $F$ is the father of $J$ and $J$ is the father of $H$,$F$ is the paternal grandfather of $H$.
Therefore,the correct option is $B$.

(D) Given expression: $R \div M - K$
$1$. $R \div M$ means $R$ is the father of $M$.
$2$. $M - K$ means $M$ is the brother of $K$.
$3$. Since $M$ is the brother of $K$,$K$ is a sibling of $M$.
$4$. However,the gender of $K$ is not specified in the expression. We do not know if $K$ is male or female.
$5$. Therefore,$K$ could be either the brother or the sister of $M$.
$6$. Thus,the relationship of $K$ with $M$ cannot be determined.

(B) To represent '$M$ is the daughter of $N$',we need to analyze the options:
$1$. In option $A$: $M + D \times N$ means $M$ is the sister of $D$ and $D$ is the mother of $N$. This makes $M$ the aunt of $N$.
$2$. In option $B$: $N \div M + W$ means $N$ is the father of $M$ and $M$ is the sister of $W$. Since $N$ is the father and $M$ is a female (sister),$M$ is the daughter of $N$.
$3$. In option $C$: $N \div M$ means $N$ is the father of $M$. This does not specify the gender of $M$.
$4$. In option $D$: $N \times M$ means $N$ is the mother of $M$. This does not specify the gender of $M$.
Therefore,option $B$ correctly identifies $M$ as the daughter of $N$.

(C) Analyze the expression $D \div R - M \times H$ step by step:
$1$. $D \div R$ means $D$ is the father of $R$.
$2$. $R - M$ means $R$ is the brother of $M$.
$3$. $M \times H$ means $M$ is the mother of $H$.
Since $D$ is the father of $R$ and $R$ is the brother of $M$,$D$ is the father of $M$.
Since $M$ is the mother of $H$,$D$ is the maternal grandfather of $H$.
However,the gender of $H$ is not specified in the expression (we do not know if $H$ is male or female).
Therefore,$H$ is either the grandson or the granddaughter of $D$.

(C) $1$. Shraddha's mother's father is Shraddha's maternal grandfather.
$2$. The son of Shraddha's maternal grandfather is Shraddha's maternal uncle.
$3$. The problem states that this maternal uncle is the husband of Deepika's sister.
$4$. If Deepika's sister is married to Shraddha's maternal uncle,then Deepika is the sister of the wife of Shraddha's maternal uncle.
$5$. Therefore,Deepika is the maternal aunt of Shraddha.

(D) is the son of $A$.
$C$ is the wife of $D$.
Since $D$ is the son of $A$,$A$ is the parent of $D$.
Because $C$ is married to $D$,$A$ must be the parent-in-law of $C$.
Since the gender of $A$ is not specified (it could be either father or mother),$A$ is either the father-in-law or the mother-in-law of $C$.
Given the options provided,the relationship cannot be uniquely determined as 'Father-in-Law' alone,as 'Mother-in-Law' is also a possibility. Therefore,the data is inadequate to specify the exact gender-based relationship.

(D) Let the lady in the photograph be $L$.
Her son's father is the husband of $L$.
Mrinalini says that this person (the husband of $L$) is the only son-in-law of her mother.
This means Mrinalini's mother has only one son-in-law,who is the husband of $L$.
Since Mrinalini is a female name and she is talking about the lady,if Mrinalini herself is the lady in the photograph,then her husband is the son-in-law of her mother.
However,if Mrinalini is referring to someone else,she could be the sister of the lady.
Given the structure of the statement,Mrinalini is the lady in the photograph herself.
Therefore,the relationship is that Mrinalini is the lady herself.

(C) To determine if $P$ is the grandson of $Q$,$P$ must be male and the child of $Q$'s child.
$1$. Analyze option $C$: $Q \star L \# N \times P$.
$2$. $Q \star L$ means $Q$ is the father of $L$.
$3$. $L \# N$ means $L$ is the husband of $N$.
$4$. $N \times P$ means $N$ is the mother of $P$.
$5$. Since $Q$ is the father of $L$ and $L$ is the father of $P$ (as $L$ is the husband of $N$ and $N$ is the mother of $P$),$Q$ is the grandfather of $P$. Thus,$P$ is the grandson of $Q$.

(C) $1$. We are given that $C$ is the mother of $B$.
$2$. We are also given that $M$ is the sister of $C$.
$3$. Since $M$ is the sister of $B$'s mother $(C)$,$M$ is the maternal aunt of $B$.
$4$. Therefore,$M$ is the aunt of $B$.

(C) Given:
$1$. $R$ is the daughter of $Q$.
$2$. $B$ is the son of $Q$.
$3$. $M$ is the sister of $B$.
Since $R$ and $B$ are both children of $Q$,and $M$ is the sister of $B$,it follows that $M$ is also a child of $Q$.
Therefore,$M$ and $R$ are sisters.
Thus,$M$ is the sister of $R$.

(B) Let us break down the statement: 'My grandmother's daughter' can be Nikita's mother or her aunt.
If the person is Nikita's mother,then the 'only granddaughter' of her mother is Nikita herself.
If the person is Nikita's aunt,then the 'only granddaughter' of her aunt is Nikita's cousin.
However,in standard logical reasoning puzzles of this type,'my grandmother's daughter' usually refers to the mother. If the girl is the 'only granddaughter' of the mother,and Nikita is the speaker,the girl must be Nikita's daughter.
Thus,the girl in the photograph is Nikita's daughter.

(B) Given expressions:
$P \times Q \implies P$ is the wife of $Q$.
$P + Q \implies P$ is the father of $Q$.
$P \div Q \implies P$ is the sister of $Q$.
Analyze the expression $G \times H + R \div D$:
$1$. $G \times H$: $G$ is the wife of $H$.
$2$. $H + R$: $H$ is the father of $R$.
$3$. $R \div D$: $R$ is the sister of $D$.
Since $G$ is the wife of $H$ and $H$ is the father of $R$ and $D$,$G$ must be the mother of $R$ and $D$.
Therefore,$G$ is the mother of $D$.

(B) Let us break down the statement: "The father of his (Hari's) sister" is Hari's father.
"The husband of my (Vijay's) wife's mother" is the father of Vijay's wife,which is Vijay's father-in-law.
So,Hari's father is Vijay's father-in-law.
This means Hari is the brother-in-law of Vijay's wife,or Vijay is the brother-in-law of Hari.

(B) $S$ is the mother of $D$ and the aunt of $M$.
Since $S$ is the aunt of $M$,$D$ (who is the child of $S$) must be the cousin of $M$.
Therefore,$D$ is $M$'s cousin.

(D) Let us break down the relationship step by step:
$1$. Sachin's father's sister is Sachin's aunt.
$2$. The son of Sachin's aunt is Sachin's cousin.
$3$. The grandmother of Sachin's cousin is the mother of Sachin's father (or the mother of Sachin's aunt).
$4$. Therefore,the woman in the photograph is Sachin's grandmother.

(A) $1$. $P$ is the father of $J$.
$2$. $S$ is the mother of $N$,and $N$ is the brother of $J$. This implies $P$ and $S$ are parents of $J$ and $N$.
$3$. $B$ is the son of $S$,so $B$ is also a sibling of $J$ and $N$.
$4$. $C$ is the sister of $B$,so $C$ is also a sibling of $J$,$N$,and $B$.
$5$. Since $J$ is a sibling of $C$,$J$ must be either the brother or the sister of $C$.
$6$. The gender of $J$ is not specified in the problem statement.
$7$. Therefore,the relationship cannot be determined definitively,making the data inadequate.

(D) To find $M$ is the daughter of $R$,we need a relationship where $R$ is the parent of $M$ and $M$ is female.
Let's analyze option $(D)$: $R + M - T$.
$1$. $R + M$ means $R$ is the mother of $M$.
$2$. $M - T$ means $M$ is the sister of $T$.
Since $R$ is the mother of $M$ and $M$ is a sister (female),$M$ must be the daughter of $R$.
Therefore,the correct option is $(D)$.

(C) To be the maternal uncle of $W$,$K$ must be the brother of $W$'s mother.
Let us analyze option $(C)$: $K \times J + W$.
$1$. $K \times J$ means $K$ is the brother of $J$.
$2$. $J + W$ means $J$ is the mother of $W$.
Since $K$ is the brother of $J$ and $J$ is the mother of $W$,$K$ is the maternal uncle of $W$.

(C) To determine if $N$ is the mother of $K$,$N$ must be female and a parent of $K$.
Let's analyze the options:
$A) K + L \div N \times F$: $K$ is sister of $L$,$L$ is daughter of $N$,$N$ is father of $F$. Here $N$ is the father of $K$.
$B) M \div L \times K$: $M$ is daughter of $L$,$L$ is father of $K$. This does not involve $N$.
$C) H \times K \div N$: $H$ is father of $K$,$K$ is daughter of $N$. This implies $N$ is the mother of $K$ (since $H$ is the father and $K$ is the daughter of $N$).
$D) N \times F + K$: $N$ is father of $F$,$F$ is sister of $K$. Here $N$ is the father of $K$.
Therefore,option $(c)$ correctly indicates that $N$ is the mother of $K$.

(B) Given expression: $F \div R \times H - L$
$1$. $F \div R$ means $F$ is the daughter of $R$.
$2$. $R \times H$ means $R$ is the father of $H$.
$3$. $H - L$ means $H$ is the husband of $L$.
From step $1$ and $2$,since $F$ is the daughter of $R$ and $R$ is the father of $H$,$F$ and $H$ are siblings.
Since $H$ is the husband of $L$,$H$ is male.
Therefore,$H$ is the brother of $F$.

(D) Given expression: $G \times T + Q \div M$
$1$. $G \times T$: $G$ is the father of $T$.
$2$. $T + Q$: $T$ is the sister of $Q$.
$3$. $Q \div M$: $Q$ is the daughter of $M$.
Since $G$ is the father of $T$ and $Q$,and $Q$ is the daughter of $M$,it implies that $G$ and $M$ are husband and wife.
Specifically,$G$ is the father (husband) and $M$ is the mother (wife).
Therefore,$M$ is the wife of $G$.

(A) Given expression: $F - R + H \div T$
$1$. $F - R$ means $F$ is the husband of $R$.
$2$. $R + H$ means $R$ is the sister of $H$.
$3$. $H \div T$ means $H$ is the daughter of $T$.
From these relations:
Since $R$ is the sister of $H$ and $H$ is the daughter of $T$,$R$ is also the daughter of $T$.
Since $F$ is the husband of $R$ and $R$ is the daughter of $T$,$F$ is the son-in-law of $T$.

(C) Given that $D$ is the brother of $B$ and $M$ is the brother of $B$.
Since $D$ and $M$ are siblings of $B$,$B$ is also a child of $K$ (as $K$ is the father of $M$).
$T$ is the wife of $K$,which means $T$ is the mother of $M$,$D$,and $B$.
The gender of $B$ is not specified in the given information.
Therefore,$B$ could be either the son or the daughter of $T$.

(D) Let us break down the statement: "My wife's grandfather's only child".
$1$. The grandfather of Nirmal's wife has only one child. This child must be the father or mother of Nirmal's wife.
$2$. Since the grandfather has only one child,that child is the father-in-law or mother-in-law of Nirmal.
$3$. The woman is the daughter of this person (Nirmal's father-in-law or mother-in-law).
$4$. If the woman is the daughter of Nirmal's father-in-law,she could be Nirmal's wife or his sister-in-law.
$5$. Since the gender of the "only child" is not specified,and the relationship depends on whether the woman is the wife herself or her sister,the information is insufficient to determine a unique relationship.
Therefore,the data is inadequate.

(A) The statement "$I$ am the son of your father" implies that $X$ is a child of $Y$'s father.
If $X$ is the son of $Y$'s father,$X$ must be either $Y$'s brother or $Y$ herself (if $X$ were female,but the statement says $X$ is a son).
Since $X$ states "you are not my brother",it implies $Y$ is female.
Therefore,$X$ is the brother of $Y$,and $Y$ is the sister of $X$.
However,the question asks how $X$ is related to $Y$. Since $X$ is the son of $Y$'s father and not $Y$'s brother (as stated by the logic of the riddle implying $Y$ is a sister),$X$ is the brother of $Y$.

(B) Let us break down the statement: "His brother's father" is the same as "Rajesh's father".
"The only son of my grandfather" refers to Neha's father (since he is the only son).
Therefore,Rajesh's father is Neha's father.
This implies that Rajesh and Neha are siblings.
Since Neha is the sister of Rajesh,the correct relationship is Sister.

(A) Let us break down the relation step-by-step:
$1$. My brother's son is my nephew.
$2$. My nephew's wife is my niece-in-law.
$3$. My nephew's wife's daughter is my grand-niece.
$4$. The mother of my grand-niece is the wife of my nephew.
Arun is the paternal uncle of the lady's husband. Therefore,Arun is the uncle of the lady's husband,which makes him the uncle-in-law of the lady. Given the options,'Uncle' is the correct relationship.

(C) The sister of one's mother is called the maternal aunt.
The husband of one's maternal aunt is known as the maternal uncle.
Therefore,the man is the maternal uncle of the boy.

(C) Rohan has two wives,Lakshmi and Meena.
Shalini is the step-daughter of Meena.
Since Shalini is the step-daughter of Meena,it implies that Shalini is the biological daughter of Rohan's other wife,who is Lakshmi.
Therefore,Lakshmi is the mother of Shalini.

(B) $1$. Anil is the brother of Daya,and Daya is the son of Chandra. Therefore,Anil is also the son of Chandra.
$2$. Bimal is the father of Chandra.
$3$. Since Anil is the son of Chandra and Chandra is the child of Bimal,Anil is the grandson of Bimal.

(D) To determine if $M$ is the nephew of $N$,$M$ must be male and the child of $N$'s sibling.
Let's analyze option $(d)$: $N - K + M \times T$
$1$. $N - K$: $N$ is the sister of $K$.
$2$. $K + M$: $K$ is the father of $M$.
$3$. $M \times T$: $M$ is the brother of $T$.
Since $N$ is the sister of $K$,and $K$ is the father of $M$,$N$ is the aunt of $M$. Since $M$ is the brother of $T$,$M$ is male. Therefore,$M$ is the nephew of $N$.

(D) Given expression: $H + T \div R - D$
$1$. $H + T$ means $H$ is the father of $T$.
$2$. $T \div R$ means $T$ is the mother of $R$.
$3$. $R - D$ means $R$ is the sister of $D$.
From the above,$T$ is the mother of $R$,and $R$ is the sister of $D$. Therefore,$T$ is the mother of both $R$ and $D$.
Thus,$T$ is the mother of $D$.

(C) To determine if $F$ is the daughter of $W$,we analyze the options:
Option $A$: $W \div R + F$ implies $W$ is the mother of $R$,and $R$ is the father of $F$. Thus,$F$ is the grandchild of $W$.
Option $B$: $W \times R \times F$ implies $W$ is the brother of $R$,and $R$ is the brother of $F$. Thus,$W$ and $F$ are siblings.
Option $C$: $W + R \times F - T$ implies $W$ is the father of $R$,$R$ is the brother of $F$,and $F$ is the sister of $T$. Since $W$ is the father of $R$ and $R$ is the sibling of $F$,$W$ is also the father of $F$. Since $F$ is the sister of $T$,$F$ must be female. Therefore,$F$ is the daughter of $W$.
Option $D$: $W + R - F + T$ implies $W$ is the father of $R$,$R$ is the sister of $F$,and $F$ is the father of $T$. This makes $F$ a sibling of $R$ and child of $W$,but $F$ is male (father of $T$),so $F$ is the son of $W$.