Relationships
1. Pointing to a photograph of a boy Suresh said, "He is the son of the only son of my mother." How is Suresh related to that boy?
A. Brother
B. Uncle
C. Cousin
D. Father
Answer: Option (D)
Explanation:
The boy in the photograph is the only son of the son of Suresh's mother i.e., the son of Suresh. Hence, Suresh is the father of boy.
2. If A + B means A is the mother of B; A - B means A is the brother B; A % B means A is the father of B and A x B means A is the sister of B, which of the following shows that P is the maternal uncle of Q?
A. Q - N + M x P
B. P + S x N - Q
C. P - M + N x Q
D. Q - S % P
Answer: Option (C)
Explanation:
P - M → P is the brother of M
M + N → M is the mother of N
N x Q → N is the sister of Q
Therefore, P is the maternal uncle of Q.
3. Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is the boy related to the girl?
A. Brother
B. Nephew
C. Uncle
D. Son-in-law
Answer: Option (A)
Explanation:
The father of the boy's uncle → the grandfather of the boy and daughter of the grandfather → sister of father.
4. Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Deepak?
A. Son
B. Brother
C. Cousin
D. Brother-in-law
Answer: Option (B)
Explanation:
Father's wife → mother. Hence, the daughter of the mother means sister and sister's younger brother means brother. Therefore, the boy is the brother of Deepak.
5. Pointing to Varman, Madhav said, "I am the only son of one of the sons of his father." How is Varman related to Madhav?
A. Nephew
B. Uncle
C. Father or Uncle
D. Father
Answer: Option (C)
Explanation:
Madhav is the only son of one of the sons of Varman's father → Either Varman is the father or uncle of Madhav.
Analytical Reasoning
1. Find the number of triangles in the given figure.
Answer: Option (D)
Explanation:
The figure may be labelled as shown.
The simplest triangles are AHG, AIG, AIB, JFE, CJE and CED i.e. 6 in number.
The triangles composed of two components each are ABG, CFE, ACJ, and EGI i.e. 4 in number.
The triangles composed of three components each are ACE, AGE and CFD i.e. 3 in number.
There is only one triangle i.e. AHE composed of four components.
Therefore, There are 6 + 4 + 3 + 1 = 14 triangles in the given figure.
2. Find the minimum number of straight lines required to make the given figure.
Answer: Option (B)
Explanation:
The figure may be labelled as shown.
The horizontal lines are IK, AB, HG and DC i.e. 4 in number.
The vertical lines are AD, EH, JM, FG, and BC i.e. 5 in number.
The slanting lines are IE, JE, JF, KF, DE, DH, FC and GC i.e. 8 is number.
Thus, there are 4 + 5 + 8 = 17 straight lines in the figure.
3. Find the number of triangles in the given figure.
Answer: Option (D)
Explanation:
The figure may be labelled as shown.
The simplest triangles are AGH, GFO, LFO, DJK, EKP, PEL and IMN i.e. 7 in number.
The triangles having two components each are GFL, KEL, AMO, NDP, BHN, CMJ, NEJ, and HFM i.e. 8 in number.
The triangles having three components each are IOE, IFP, BIF and CEI i.e. 4 in number.
The triangles having four components each are ANE and DMF i.e. 2 in number.
The triangles having five components each are FCK, BGE, and ADL i.e. 3 in number.
The triangles having six components each are BPF, COE, DHF, and AJE i.e. 4 in number.
Total number of triangles in the figure = 7 + 8 + 4 + 2 + 3 + 4 = 28.
4. Find the number of triangles in the given figure.
Answer: Option (B)
Explanation:
The figure may be labelled as shown.
The simplest triangles are AHB, GHI, BJC, GFE, GIE, IJE, CEJ and CDE i.e. 8 in number.
The triangles composed of two components each are HEG, BEC, HBE, JGE and ICE i.e. 5 in number.
The triangles composed of three components each are FHE, GCE, and BED i.e. 3 in number.
There is only one triangle i.e. AGC composed of four components.
There is only one triangle i.e. AFD composed of nine components.
Thus, there are 8 + 5 + 3 + 1 + 1 = 18 triangles in the given figure.
5. Find the number of triangles in the given figure.
Answer: Option (C)
Explanation:
The figure may be labelled as shown.
The simplest triangles are IJO, BCJ, CDK, KQL, MLQ, GFM, GHN and NIO i.e. 8 in number.
The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e.10 in number.
The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and GLC i.e. 6 in number.
Total number of triangles in the figure = 8 + 10 + 6 = 24.
Syllogism
1. Statements: Some actors are singers. All the singers are dancers.
Conclusions:
1. Some actors are dancers.
2. No singer is an actor.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (A)
Explanation:
2. Statements: All the harmoniums are instruments. All the instruments are flutes.
Conclusions:
1. All the flutes are instruments.
2. All the harmoniums are flutes.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (B)
Explanation:
3. Statements: Some mangoes are yellow. Some tixo are mangoes.
Conclusions:
1. Some mangoes are green.
2. Tixo is yellow.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (D)
Explanation:
4. Statements: Some ants are parrots. All the parrots are apples.
Conclusions:
1. All the apples are parrots.
2. Some ants are apples.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (B)
Explanation:
5. Statements: Some papers are pens. All pencils are pens.
Conclusions:
1. Some pens are pencils.
2. Some pens are papers.
A. Only (1) conclusion follows
B. Only (2) conclusion follows
C. Either (1) or (2) follows
D. Neither (1) nor (2) follows
E. Both (1) and (2) follow
Answer: Option (E)
Explanation:
Jumbling
Directions(1 - 5): (i) There is a group of five persons – A, B, C, D, and E.
(ii) One of them is a horticulturist, one is a physicist, one is a journalist, one is an industrialist and one is an advocated.
(iii) Three of the – A, C, and advocate prefer tea to coffee and two of the – B and the journalist prefer coffee to tea.
(iv) The industrialist and D and A are a friend to one another but two of these prefer coffee to tea.
(v) The horticulturist is C's brother.
1. Who is a horticulturist?
Answer: Option (A)
Explanation:
A prefers tea. So, from (iv), the industrialist and D prefer coffee. But, from (iii), B and the journalist prefer coffee. So, B is the industrialist and D is the journalist.
Now, A, C, and advocate remain. Clearly, E is the advocate.
The horticulturist is C's brother. It can be only A. C is a physicist.
|
A |
B |
C |
D |
E |
Profession |
Horticulturist |
Industrialist |
Physicist |
Journalist |
Advocate |
Profession |
Tea |
Coffee |
Tea |
Coffee |
Tea |
Hence, A is a horticulturist.
2. Who is a physicist?
Answer: Option (D)
Explanation:
A prefers tea. So, from (iv), the industrialist and D prefer coffee. But, from (iii), B and the journalist prefer coffee. So, B is the industrialist and D is the journalist.
Now, A, C, and advocate remain. Clearly, E is the advocate.
The horticulturist is C's brother. It can be only A. C is a physicist.
|
A |
B |
C |
D |
E |
Profession |
Horticulturist |
Industrialist |
Physicist |
Journalist |
Advocate |
Profession |
Tea |
Coffee |
Tea |
Coffee |
Tea |
Hence, C is the physicist.
3. Which of the statements above is superfluous?
A. (iii)
B. (iv)
C. (ii)
D. (v)
E. Nil
Answer: Option (E)
Explanation:
A prefers tea. So, from (iv), the industrialist and D prefer coffee. But, from (iii), B and the journalist prefer coffee. So, B is the industrialist and D is the journalist.
Now, A, C, and advocate remain. Clearly, E is the advocate.
The horticulturist is C's brother. It can be only A. C is a physicist.
|
A |
B |
C |
D |
E |
Profession |
Horticulturist |
Industrialist |
Physicist |
Journalist |
Advocate |
Profession |
Tea |
Coffee |
Tea |
Coffee |
Tea |
Since all the statements are required to analyse the given data, none of them is superfluous.
4. Who is an industrialist?
Answer: Option (C)
Explanation:
A prefers tea. So, from (iv), the industrialist and D prefer coffee. But, from (iii), B and the journalist prefer coffee. So, B is the industrialist and D is the journalist.
Now, A, C, and advocate remain. Clearly, E is the advocate.
The horticulturist is C's brother. It can be only A. C is a physicist.
|
A |
B |
C |
D |
E |
Profession |
Horticulturist |
Industrialist |
Physicist |
Journalist |
Advocate |
Profession |
Tea |
Coffee |
Tea |
Coffee |
Tea |
Hence, B is an industrialist.
5. Which of the following groups includes a person who likes tea but is not an advocate?
A. ACE
B. DE
C. BCE
D. BD
E. None of these
Answer: Option (E)
Explanation:
A prefers tea. So, from (iv), the industrialist and D prefer coffee. But, from (iii), B and the journalist prefer coffee. So, B is the industrialist and D is the journalist.
Now, A, C, and advocate remain. Clearly, E is the advocate.
The horticulturist is C's brother. It can be only A. C is a physicist.
|
A |
B |
C |
D |
E |
Profession |
Horticulturist |
Industrialist |
Physicist |
Journalist |
Advocate |
Profession |
Tea |
Coffee |
Tea |
Coffee |
Tea |
Clearly, A and C are the persons who like tea but are not advocates.
Venn Diagrams
1. Which of the following diagrams indicates the best relation between Travelers, Train and Bus?
A.
B.
C.
D.
Answer: Option (C)
Explanation:
Bus and Train are different from each other but some travelers travel by bus and some travel by train.
2. Which of the following diagrams indicates the best relation between Profit, Dividend, and Bonus?
A.
B.
C.
D.
Answer: Option (B)
Explanation:
Bonus and Dividend are different from each other. But both these are parts of profit.
3. Which of the following diagrams indicates the best relation between Women, Mothers, and Engineers?
A.
B.
C.
D.
Answer: Option (A)
Explanation:
All mothers are women and some mothers and some women may be engineers.
4. Which of the following diagrams indicates the best relation between Factory, Product, and Machinery?
A.
B.
C.
D.
Answer: Option (D)
Explanation:
Product and Machinery are different from each other but both are found in Factory.
5. Which of the following diagrams indicates the best relation between Author, Lawyer, and Singer?
A.
B.
C.
D.
Answer: Option (B)
Explanation:
All three are different professions.
Puzzle
Directions (1 - 3): (i) There is a group of five girls.
(ii) Kamini is second in height but younger than Rupa.
(iii) Pooja is taller than Monika but younger in age.
(iv) Rupa and Monika are of the same age but Rupa is tallest between them.
(v) Neelam is taller than Pooja and elder Rupa.
1. If they are arranged in the ascending order of height, who will be in third position?
A. Monika
B. Rupa
C. Monika or Rupa
D. Data inadequate
E. None of these
Answer: Option (E)
Explanation:
We first find the sequence of height :
By (iii), we have: M < P.
By (v), we have : P < N.
Now, Rupa is tallest and Kamini is second in height.
So, the sequence of heights is : M < P < N < K < R.
Now, we determine the age sequence :
By (ii), we have K < R.
By (iii), we have: P < M.
By (iv), we have : R = M.
By (v), we have : R < N.
So, the sequence of ages is : N < R = M < K < P or N < R = M < P < K.
Clearly, in the increasing order of height, Neelam is in the third position.
Hence, the answer is (E).
2. If they are arranged in the descending order of their ages, who will be in the fourth position?
A. Monika or Rupa
B. Kamini
C. Monika
D. Data inadequate
E. None of these
Answer: Option (E)
Explanation:
We first find the sequence of height :
By (iii), we have: M < P.
By (v), we have : P < N.
Now, Rupa is tallest and Kamini is second in height.
So, the sequence of heights is : M < P < N < K < R.
Now, we determine the age sequence :
By (ii), we have: K < R.
By (iii), we have : P < M.
By (iv), we have : R = M.
By (v), we have : R < N.
So, the sequence of ages is : N < R = M < K < P or N < R = M < P < K.
Clearly, in the decreasing order of ages, Neelam will be in the fourth position (because Monika and Rupa both lie at third position).
Hence, the answer is (E).
3. To answer the question "who is the youngest person in the group", which of the given statements is superfluous?
A. Only (i)
B. Only (ii)
C. Only (v)
D. Either (i) or (iv)
E. None of these
Answer: Option (A)
Explanation:
We first find the sequence of height :
By (iii), we have: M < P.
By (v), we have : P < N.
Now, Rupa is tallest and Kamini is second in height.
So, the sequence of heights is : M < P < N < K < R.
Now, we determine the age sequence :
By (ii), we have K < R.
By (iii), we have : P < M.
By (iv), we have : R = M.
By (v), we have : R < N.
So, the sequence of ages is : N < R = M < K < P or N < R = M < P < K.
Clearly, only statement (i) is not necessary.
Hence, the answer is (A).
Direction (4 - 5): Six plays -- A, B, C, D, E, and F are to be staged, one on each day from Monday to Saturday. The schedule of the plays is to be in accordance with the following:
(i) A must be staged a day before E.
(ii) C must not be staged on Tuesday.
(iii) B must be staged on the day following the day on which F is staged.
(iv) D must be staged on Friday only and should not be immediately preceded by B.
(v) E must not be staged on the last day of the schedule.
4. Which of the following plays immediately follows B?
Answer: Option (A)
Explanation:
Clearly, D must be staged on Friday. A must be staged before E i.e., order AE must be followed. But E cannot be staged on last day. Also, B must be staged immediately after F i.e., order FB must be followed. But B cannot precede D. So, F and B can be staged on Monday and Tuesday and A and E on Wednesday and Thursday. C, which cannot be staged on Tuesday shall be staged on Saturday. Thus, the order followed will be:
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
F |
B |
A |
E |
D |
C |
Clearly, A immediately follows B.
So, the answer is (A).
5. Which of the following plays in on Monday?
Answer: Option (B)
Explanation:
Clearly, D must be staged on Friday. A must be staged before E i.e., order AE must be followed. But E cannot be staged on last day. Also, B must be staged immediately after F i.e., order FB must be followed. But B cannot precede D. So, F and B can be staged on Monday and Tuesday and A and E on Wednesday and Thursday. C, which cannot be staged on Tuesday shall be staged on Saturday. Thus, the order followed will be:
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
F |
B |
A |
E |
D |
C |
F will be played on Monday.
So, the answer is (B).