Data for Questions 1 & 5 :
If a + b means a is daughter of b,
a – b means a is husband of b,
a ¥ b means a is brother of b.
1. What does the relation p ¥ q – r show?
a) p is son-in-law of r
b) p is brother of r
c) r is wife of p
d) None of these
Explanation: p ¥ q – r can be read as p is the brother of q and q is the husband of r. Thus p must be the brother-in-law of r. Hence, option (d) is correct
2. If h + i ¥ j + k × l + m ¥ n, then what is the present generation of h. Assume that the oldest
generation in this group is the first generation?
a) \[2^{nd}\]
b) \[3^{rd}\]
c) \[4^{th}\]
d) None of these
Explanation: h + i × j + k × l + m ¥ n means h is the daughter of i, i is the brother of j, j is the daughter of k, k is the brother of l, l is the daughter of m and m is the brother of n. Thus, if m and n are the first generation, k and l are the second, i and j are the third generation, h is the fourth generation. To solve this question in short, you only need to realise that the use of the + sign signifies a generation change. Since the + sign is used thrice, h must be the fourth generation. Hence, option (c) is the answer.
3. Which of the following statements does not hold?
a) a + b × c
b) a – b ¥ c
c) a + b + c
d) a + b - c
Explanation: Option (b) says: a – b ¥ c, this does not hold since a must be the husband of b (who is a female) and b is the brother of c (which cannot happen). Hence, option (b) is the answer.
4. From the statement a ¥ b ¥ c ¥ d, which of the following statement is not necessarily true?
a) b is the brother of a
b) c is the brother of a
c) d is brother of c
d) a, b, c are male
Explanation: a × b ¥ c ¥ d means a is the brother of b, b is the brother of c and c is the brother of d. This makes options (a), (b) and (d) as correct. Only option (c) is not necessarily true since d could be b’s sister too. Hence, (c) is the answer.
5. From the statement p – q + r ¥ s, how is q related to s?
a) Niece
b) Sister
c) Mother
d) None of these
Explanation: p – q + r ¥ s reads as p is the husband of q, q is the daughter of r and r is the brother of s. Thus, q must be s’s niece. Hence, option (a) is the correct answer
6. Anwar’s father is the only son of Mahesh’s father. How is Mahesh related to Anwar?
a) Father
b) Brother
c) Can’t be determined
d) None of these
Explanation: Anwar’s father being the only son of Mahesh’s father, means that Mahesh must be Anwar’s father. Option (a) is the answer.
7. Rahul has two mothers. Shalini is the step-daughter of Seema and step-sister of Rahul. How is
Seema related to Rahul?
a) Step-mother
b) mother
c) Can’t be determined
d) None of these
Explanation: Mother, hence, option (b) is correct.
8. If
I. A is brother of B
II. B is brother of C
III. C is brother of D
IV. D is sister of E.
Then which of the following statements is not necessarily true?
a) D is sister of C
b) B and C are brothers
c) A, B, C are male and D is a female
d) D and E are sisters
Explanation: A, B, C are siblings and brothers of each other. D is their sister but we cannot say anything about E’s sex (whether E is male or female and hence brother or sister is unknown). Hence, (d) is correct.
9. Pointing to a photograph, Vandana says, “She is the elder daughter of my mother’s husband”.
How is person in photograph related to Vandana?
a) Sister
b) Mother
c) Sister-in-law
d) None of these
Explanation: Sister. Hence, option (a) is the answer.
10. Pointing to the man in the platform, Siddhartha said, “He is the brother of the father of my
mother’s son”. How is this man on the platform related to Siddhartha?
a) Nephew
b) Father
c) Brother
d) None of these
Explanation: My mother’s son means me or my brother, father of my mother’s son means my father. Brother of my father means my uncle. Hence, option (d) is correct.