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Blood Relations questions for IPMAT, with solutions

6 free Blood Relations practice questions for IPMAT Indore, Rohtak and JIPMAT, each with the answer and a full worked solution. No sign-in. Try each one first, then open the solution. The lessons for this chapter are in Blood Relations on Learn.

1. Question 1Multiple choiceWritten by IPMATwayCoded relations (A@B means...)

   In a code, 'A + B' means A is the mother of B; 'A - B' means A is the brother of B; 'A x B' means A is the husband of B; 'A / B' means A is the daughter of B.

   In the expression P + Q - R x S / T, how is T related to R?

   1. A.Father-in-law
   2. B.Mother-in-law
   3. C.Brother-in-law
   4. D.Cannot be determined
   Show the answer and solution

   Answer: D. Cannot be determined

   Decode step by step. P + Q: P is Q's mother. Q - R: Q is R's brother, so P is R's mother as well. R x S: R is S's husband. S / T: S is T's daughter.

   So T is a parent of S, R's wife, which makes T a parent-in-law of R. The symbols tell us T is S's parent, but give no sex for T. A code check of all consistent families found some with a male T and some with a female T.

   So T can be R's father-in-law or mother-in-law, and the relation cannot be fixed.

2. Question 2Multiple choiceWritten by IPMATwayCoded relations (A@B means...)

   In a code, 'A + B' means A is the father of B; 'A - B' means A is the wife of B; 'A * B' means A is the sister of B; 'A / B' means A is the son of B.

   Which expression shows that K is the paternal aunt of N?

   1. A.K * L + N
   2. B.K * L / N
   3. C.N / L * K
   4. D.K * L - M + N
   Show the answer and solution

   Answer: A. K * L + N

   Paternal aunt means K is the sister of N's father. So the chain should read K (sister of) L, and L (father of) N.

   K * L + N: K is the sister of L and L is the father of N. Correct. K * L / N: L is the son of N, so K is the daughter of N. Wrong. N / L * K: N is the son of L and L is the sister of K, so L is N's mother and K is a maternal relative. Wrong. K * L - M + N: L is M's wife and M is N's father, so L is N's mother and K, L's sister, is N's maternal aunt, not paternal. Wrong.

   A code check over all consistent families confirms only the first is certain.

3. Question 3Multiple choiceWritten by IPMATwayPointing / photograph type

   Pointing to a girl, Meera said, "Her mother is the only daughter of my mother's father's only son." How is the girl related to Meera?

   1. A.Niece
   2. B.Cousin
   3. C.Cousin's daughter
   4. D.Daughter
   Show the answer and solution

   Answer: C. Cousin's daughter

   Work from Meera outwards. Meera's mother's father is Meera's maternal grandfather. His only son is Meera's maternal uncle. The uncle's only daughter is Meera's cousin (a first cousin). The girl's mother is this cousin.

   So the girl is the daughter of Meera's cousin. She is one generation below Meera but not a niece, because she descends from the uncle, not from Meera's own brother or sister.

   A family-model check shows 'cousin's daughter' holds in every consistent family; niece, cousin and daughter all fail.

4. Question 4Multiple choiceWritten by IPMATwayStatement-based relation

   In a family of six: A is the father of B; B is the mother of C; C is the brother of D; E is the husband of D; F is the daughter of E.

   How many members of this family are descendants of A (children, grandchildren, and so on)?

   1. A.3
   2. B.5
   3. C.2
   4. D.4
   Show the answer and solution

   Answer: D. 4

   B is the mother of C, so B is female and A's child. C and D are siblings, so both are B's children and A's grandchildren. E is D's husband, so D is female and E is male; F is E's daughter, so F is also D's daughter and A's great-grandchild.

   Descendants of A: B, C, D, F. E is a husband by marriage and not a descendant of A. So the count is 4.

   A check over all consistent families gives exactly 4 descendants in each.

5. Question 5Multiple choiceWritten by IPMATwayStatement-based relation

   In a family of five: P is a female and the sister of Q; R is the father of Q; S is the wife of R; T is the son of S.

   I. S is the mother of P. II. T is the brother of P. III. Q is a male. IV. R is the grandfather of T.

   Which of the statements are definitely true?

   1. A.I and II only
   2. B.I, II and III
   3. C.II and III only
   4. D.I and IV only
   Show the answer and solution

   Answer: A. I and II only

   R is Q's father and S is R's wife, so S is Q's mother. P is Q's sister, so P is also R and S's child. So I is true (S is P's mother). T is the son of S, hence a child of R too and P's sibling; T is male, so T is P's brother. II is true. III: only P is stated to be female; Q may be male or female, so III is not definite. IV: R is T's father, not grandfather, so IV is false.

   A brute-force check of all consistent families shows I and II hold in every one, III holds in only some, IV in none.

6. Question 6Multiple choiceWritten by IPMATwayFamily tree set with 3-5 Q

   Six people P, Q, R, S, T and U are connected as follows.

   • Q is the mother of R, who is a male.
   • R is married to S.
   • T is the sister of S.
   • U is the father of T.

   How is U related to R?

   1. A.Father
   2. B.Father-in-law
   3. C.Uncle
   4. D.Brother-in-law
   Show the answer and solution

   Answer: B. Father-in-law

   R is male and married to S, so S is his wife. T is S's sister, so they share the same parents. U is the father of T, so U is also the father of S. U is therefore the father of R's wife: R's father-in-law.

   Q, R's mother, is not stated to be U's wife, so U is not R's father. Brother-in-law would need U to be of R's generation.

   A brute-force check of 64 consistent families gives father-in-law in every one.