Solutions
1. From Devika’s perspective, wife of my husband means me. Then, my son’s sister means my daughter. Hence, option (c) is correct.
2. Grandson of my mother means my son. My son’s sister means my daughter.
Hence, option (a) is correct.3. 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).
4. The son of my wife’s father-in-law would be either me or my brother. Since Arun says that he met this person it must be the brother. Hence, option (a) is the answer.
5. Looking at it from Manisha’s perspective, “my father-in-law’s only son” would be my husband. Thus the youngest son of this person would also be Manisha’s son. Hence, this person’s father would be Manisha’s husband and Manisha would be the wife. Option (c) is the answer.
6. Wife + two daughters + 3 wives of the three sons = 6. Hence, option (b) is the answer.
7. Sunny must be B,s son. Hence, option (c) is the correct answer.
8. Go through the options, I ∏ m means I is the mother of m. m ¥ n means m is the daughter of n. Thus, m must be the daughter of I and n. Hence, (a) is the correct option.
9. I + m- n + î — p ¥ q can be read as I is the sister of m, m is the brother of η, n is the sister of î, î is the brother of p and p is the daughter of q. Thus, I, n and p are females, m and î are males and we do not know about g’s sex. Hence, we cannot be sure about the number of females in this relationship string. Hence, option (d) is correct.
10. ð + q -r⅛ s ∏i reads as: p is the sister ofg, q is the brother ofr, r is the daughter of s and s is the mother of t. Thus, option (b) is correct.
11. ∕? ¥ 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.
12. h + ³ ?j + ê ? I + m ¥ n means h is the daughter of z, ³ is the brother of j,j is the daughter of ê, ê is the brother of /, I is the daughter of m and m is the brother of n. Thus, if m and n are the first generation, ê and I are the second, ³ 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.
13. 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.
14. a ? b¥ c¥ d means a is the brother of b, b is the brother of c and c is the brother î id. This makes options (a), (b) and (d) as correct. Only option (c) is not necessarily true since d could be Zfs sister too. Hence, (c) is the answer.
15. p-q+r⅛s 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 5,s niece. Hence, option (a) is the correct answer.
16. Anwar’s father being the only son of Mahesh’s father, means that Mahesh must be Anwar’s father. Option (a) is the answer.
17. Mother, hence, option (b) is correct.
18. 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.
19. Sister. Hence, option (a) is the answer.
20. 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.
21. n@o*p reads, n is the daughter of î and î is the brother ofp. Hence, p becomes ri,s paternal uncle. So, option (c) is correct.
22. It is clear that∆,,s sex cannot be determined. Hence, the relationship between n and s cannot be determined.
Option (d) is the answer.23. Again here, g’s sex is indeterminable. Hence, the answer cannot be determined. Option (d) is the answer.
Solutions 24 to 25
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 5’s son. Also, since T is the wife of S, R must be Ps son also.
Consolidating these relationships we get:
Q mother of S and P (brothers). Also, 5’s wife is T and their son is R.
24. P is S’ s Brother. Hence, (b) is correct option.
25. S, P and R are males. Hence, option (c) is correct.
26. Raman’s brother’s sister would be same as Raman’s sister. This makes Raman son of the mother and the brother of the person, while that person would become Raman’s sister. Hence Option (d) is the correct answer.
27. Victor’s brother’s sister’s father will be Victor’s father as well and the daughter of the father will be Victor’s sister. Hence, Option (d).
28. It makes the man the brother of the woman’s mother, that makes the woman the man’s niece. So Option (c) is the correct answer.
29. The man is the son of the woman’s mother’s brother, that makes the man and the woman cousins. So option (c) is correct.
30. The father of the boy is brother of Pushpa’s mother. That makes Pushpa that boy’s cousin sister. Hence (c) is the correct option.
31. According to the clue the man is brother of Darren’s father. This makes the gentleman Darren’s uncle. Hence, Option (d).
32. It would make the man uncle of the lady, as he would be the son of her grandfather’s brother. Therefore (a) is the correct option.
33. Amelia’s mother is that man’s sister. It makes Amelia that man’s niece. So (c) is correct.
34. Option (a) could have been correct but, it has been mentioned that the mother is the only daughter. This only means that Pam must be the mother of that person. Hence, (b).
35. According to the clue, the man is also grandson of the woman’s grandfather.
So (b) is the correct option.36. The uncle of Nero’s son is Nero’s brother that makes the man Nero’s father. Hence Option (b).
37. Rita’s father is Sylvester who is Roland’s father. It makes Irene Sylvester’s granddaughter. So (c) is the right option.
38. Has to be the husband. Hence, Option (a).
39. This means Veronica and the woman have the same father. It makes them sisters.
Hence Option (b).
40. Two liberties taken; first, the gender of B is not there in the question, neither is the relationship with E. Therefore (a) is the correct option.
41. Y must be a man as his sister is the only daughter of his mother. So Y is X’s uncle. Therefore (d).
42. The grandson is Jack’s son, so it makes Jack this girl’s father-in-law. Hence (a).
43. The man is the son of the woman’s uncle, i.e., the man is the woman’s cousin. Hence (a).
44. The clue makes the man son of Allen’s grandmother i.e., the man can be Allen’s father or uncle. Since, the options do not contain uncle, we have to conclude it is the father. So (d) is the right option.
45. The man is the son of the woman’s mother’s brother, that makes the man and the woman cousins. Therefore (c) is the correct answer.
Solutions 46 and 47
From the clues we can see that no lady is either a teacher or an engineer. Hence these have to be males. Now since Raina is a male, Haiden is a female because Haiden is a lawyer and is married to Raina. Balaji the engineer is married to Patel. Hence Balaji is a male and Patel is a female so Patel cannot be teacher or engineer. It is also given that she is neither a lawyer or a doctor. Thus, she is a manager.
Again, Murli is sister of Morkel who is the manager. Morkel is a male because no two females have the same profession and Patel is a female and a manager. On the same grounds, Murli cannot be lawyer hence she is a doctor. By elimination of clues Gony is a lawyer and a male.
Now let us tabulate all the conclusions in a table:
| Person | Profession | Gender |
| Raina | Teacher | Male |
| Murli | Doctor | Female |
| Haiden | Lawyer | Female |
| Patel | Manager | Female |
| Gony | Lawyer | Male |
| Balaji | Engineer | Male |
| Morkel | Manager | Male |
Now we can answer the questions.
46. Option (b)
47. Option (d)
Solutions to 48 and 49
On the basis of the given clues we get the following information:
| Car | Persons travelling in car |
| Bentley | U(F), S(F) |
| Lamborghini | Q(M), T(M) |
| Ferrari | P(F), ?(F) |
Besides this we came to know that R is a female but we still do not know the gender of V But it is given that there is at least one female in each car. The above table shows that Lamborghini has a vacant seat for a female passenger. Hence, the seventh person must be a female to fulfill the condition. Hence, V is a female. But we still do not know in which car R and V are travelling knowing that both are not in the same car. Now we need to construct a family tree:
Since R does not travel with her grandfather and grandmother, R is not in Bentley, hence R is in Lamborghini. We are still not aware of V’s position in the family tree.
48. Option (c)
49. Option (c)
50. From the given information of the readership, we can build a table as follows:
| Payal | Qayamat | Ravi | Shashi | Tanveer | Umed | |
| Cosmopolitan | X | X | X | X | √ | X |
| Vogue | X | X | √ | X | X | X |
| India Today | X | X | X | X | X | √ |
| Economist | X | X | X | √ | X | X |
| Stardust | X | √ | X | X | X | X |
| Femina | √ | X | X | X | X | X |
(a) Tanveer and Shashi are a couple.
(b) Pranay and Ravi are a couple.
(c) Ravi, Umed and Qayamat are brothers and sisters. Hence Option (a) is the correct answer.
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- Existence of Solutions*
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- CHAPTER B Review of Ordinary Differential Equations
- INTRODUCTION AND DEFINITIONS
- Stationary Dynamic Programming Theorems
- Dynamic Programming Theorems
- Truth as Warrant for Existence
- References and Literature