P is the mother of Q. Q is the sister of R. How is P related to R?
- (a)Aunt
- (b)Mother
- (c)Grandmother
- (d)Cousin
Answer
Why
Correct — B.
Rule: brothers and sisters share their parents.
P is the mother of Q.
Q is the sister of R, so Q and R are children of the same parents.
So P is R's mother as well → option (b).
R's gender is not given, and it does not matter: P is R's mother either way.
Why the others are wrong
- (a)Aunt — Aunt would make P the sister of R's parent. P is the mother of Q, and Q is R's sister, so P is R's parent herself.
- (c)Grandmother — Grandmother is one generation too far up. It needs P to be the mother of R's parent, but P is the mother of R's sister, so P is R's parent.
- (d)Cousin — Cousin puts P in R's own generation, as the child of R's aunt or uncle. P is the mother of R's sister, one generation above R.
Concept
Blood-relation questions treat a brother or sister as a child of the same parents. So the mother of one sibling is the mother of the other.
Draw it as a tree: P at the top, Q and R side by side beneath, with a line from P down to both. P is a woman, so the relation is mother whether R is a son or a daughter.
The key reads 'sister' in the usual way, as a sister with the same parents. Nothing in the question points to a half-sister, so none should be assumed.
Key facts
- Siblings share parents, so the mother of Q is also the mother of Q's brother or sister.
- An aunt is a parent's sister.
- A grandmother is a parent's mother, two generations up.
- A cousin is the child of a parent's brother or sister, in your own generation.
Study next
Common traps
- Choosing Aunt because P is a woman one generation above R, without checking that P is R's own parent
- Stopping to work out R's gender, which the question never gives and the answer never needs
17 Sep 2024, 09:00, Reasoning Q.11 turns on the same sibling step: C is E's sister and A's daughter, so A is E's parent too, and G is keyed as A's wife's brother.
Reasoning Q.21 of this shift asks it in code: P ÷ Q − R makes P the father of Q and Q the sister of R, keyed P is R's father.
Related PYQs
No directly related past PYQ was found.