These questions are targeted to improve your knowledge of basic concepts, though easy questions are rare in CAT. These are extremely important for conceptual understanding at the foundation level.
Example 1: Pointing to a lady on the stage, Devika said, “She is the sister of the son of the wife of my husband”. How is the lady related to Devika?
(a) Sister-in-law
(b) Sister
(c) Daughter
(d) Cousin
Ans: (c)
Solution: From Devika’s perspective, the wife of my husband means me. Then, my son’s sister means my daughter. Hence, option (c) is correct.
Example 2: Pointing to a lady, a man said, “Her husband is the only son of my mother”. How is the lady related to the man?
(a) Wife
(b) Daughter
(c) Father-in-law
(d) None of these
Ans: (a)
Solution: Only son of my mother, means me. Hence, the situation transforms into I am her husband. Hence, the lady is the man’s wife. So, the correct option is (a).
Example 3: Pointing to a man, Manisha said, “He is the youngest son of my father-in-law’s only son”. How is Manisha related to this youngest son’s father?
(a) Daughter
(b) Sister
(c) Wife
(d) Can’t be determined
Ans: (c)
Solution:
Q. Which of the following relationship shows that l and n are wife and husband?
How many females does this relationship shows?
l + m – n + o – p ¥ q
Q. The relationship p + q – r ¥ s ∏ t shows that
Almost 70% of questions in CAT are Medium based questions. Though conceptually they seem easier, the trick is to solve the calculations faster & we curated problems for you to help you do problems easier.
Direction: If a + b means a is the daughter of b, a – b means a is the husband of b, a ¥ b means a is the brother of b.
Example 1: What does the relation p ¥ q – r show?
(a) p is the son-in-law of r
(b) p is the brother of r
(c) r is the wife of p
(d) None of these
Ans: (d)
Solution: 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.
Direction: If a + b means a is the daughter of b, a – b means a is the husband of b, a ¥ b means a is the brother of b.
Example 2: Which of the following statements does not hold?
(a) a + b × c
(b) a – b ¥ c
(c) a + b + c
(d) a + b – c
Ans: (b)
Solution: 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.
Direction: If a + b means a is the daughter of b, a – b means a is the husband of b, a ¥ b means a is the brother of b.
Example 3: 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 the brother of c
(d) a, b, c are male
Ans: (c)
Solution:
Direction: If a + b means a is the daughter of b, a – b means a is the husband of b, a ¥ b means a is the brother of b.
Example 4: From the statement p – q + r ¥ s, how is q related to s?
(a) Niece
(b) Sister
(c) Mother
(d) None of these
Ans: (a)
Solution: 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.
Example 5: 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
Ans: (a)
Solution: Anwar’s father being the only son of Mahesh’s father, means that Mahesh must be Anwar’s father. Option (a) is the answer.
Example 6: If
I. A is the brother of B
II. B is the brother of C
III. C is the brother of D
IV. D is the sister of E.
Then which of the following statements is not necessarily true?
(a) D is the 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
Ans: (d)
Solution: 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.
Example 7: Pointing to a photograph, Vandana says, “She is the elder daughter of my mother’s husband”. How is a person in the photograph related to Vandana?
(a) Sister
(b) Mother
(c) Sister-in-law
(d) None of these
Ans: (a)
Solution: Sister. Hence, option (a) is the answer.
Q. 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?
Around 25% of these type of questions come in CAT - If your target is above 95%ile, we recommend you solve these questions.
Direction: a * b means a is the brother of b. a @ b means a is the daughter of b. a $ b means a is the sister of b.
Example 1: Which of the following shows the relationship p is the paternal uncle of n?
(a) n$o@p
(b) n@o$p
(c) n@o*p
(d) None of these
Ans: (c)
Solution: n@o*p reads, n is the daughter of o and o is the brother of p. Hence, p becomes n’s, paternal uncle. So, option (c) is correct.
Direction: a * b means a is the brother of b. a @ b means a is the daughter of b. a $ b means a is the sister of b.
Example 2: If a $b$c@d@e*f*g, then how many males and females are there respectively?
(a) 4, 3
(b) 3, 4
(c) 5, 2
(d) Can’t be determined
Ans: (d)
Solution: Again here, g’s sex is indeterminable. Hence, the answer cannot be determined. Option (d) is the answer.
Direction: P, Q, R, S, T went on a picnic. P is the son of Q, but Q is not the father of P. R is the son of S, who is the brother of P. T is the wife of S.
Example 3: How many males are present in this group?
(a) 1
(b) 2
(c) 3
(d) 4
Ans: (c)
Solution: P is the son of Q but Q is not the father of P means that Q must be the mother of P. Also, R is the son of S, who is the brother of P means that S and P must be brothers and R is S’s son. Also, since T is the wife of S, R must be T’s son also. Consolidating these relationships we get: Q mother of S and P (brothers). Also, S’s wife is T and their son is R. P is S’s Brother. Hence, (c) is correct option.
Q. From the following statement, what is the relationship between n and s? n$o@p*q$r*s
Q. How is P related to S?
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