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Worked Examples

Example-1

Directions: A, B, C, D and E are five friends, who stay in Sea View apartments in Mumbai. They are doctor, advocate, banker, engineer and auditor, but not in the same order.

  1. ‘A’ plays cricket but is not an engineer.
  2. ‘D’ who is an auditor does not play hockey.
  3. The advocate and the doctor are not interested in basketball.
  4. ‘B’ is an expert golf player but is not an advocate.
  5. ‘E’ finds time on Sunday morning to play tennis and he is a banker.
  6. ‘C’ who does not like golf is neither a doctor nor an advocate.
The engineer is always the centre forward in hockey.
  1. Who is a basketball player?
    1. A
    2. C
    3. D
    4. B
  2. Who is a doctor?
    1. B
    2. D
    3. A
    4. E
  3. What is the profession of A?
    1. Doctor
    2. Advocate
    3. Banker
    4. Auditor
  4. Who plays hockey?
    1. B
    2. A
    3. E
    4. C
  5. What is the profession of C?
    1. Banker
    2. Auditor
    3. Engineer
    4. Advocate

Solution

Analyse the given data and represent it in a tabular form. Use the symbol ‘ to indicate affirmative information and the symbol ‘×’ to indicate negative information. Statement (1) states that ‘A’ plays cricket but is not an engineer. This statement implies that no person other than ‘A’ plays cricket and ‘A’ does not play any game other than cricket. Further, ‘A’ is not an engineer. On plotting this information, the table appears as under:

 

 

Name
Doctor
Advocate
Banker
Engineer
Auditor
Cricket
Hockey
Basket ball
Golf
Tennis
A
 
 
 
×
 
×
×
×
×
B
 
 
 
 
 
×
 
 
 
 
C
 
 
 
 
 
×
 
 
 
 
D
 
 
 
 
 
×
 
 
 
 
E
 
 
 
 
 
×
 
 
 
 

 

Consider statement (2): ‘D’ who is an auditor does not play hockey. This implies that no person other than ‘D’ is an auditor and ‘D’ is not engaged in any profession other than auditor. Further ‘D’ does not play hockey. On plotting this information, the table appears as shown below:

 

Name
Doctor
Advocate
Banker
Engineer
Auditor
Cricket
Hockey
Basket ball
Golf
Tennis
A
 
 
 
×
×
×
×
×
×
B
 
 
 
 
×
×
 
 
 
 
C
 
 
 
 
×
×
 
 
 
 
D
×
×
×
×
×
×
 
 
 
E
 
 
 
 
×
×
 
 
 
 

 

Statement (4) states that ‘B’ is an expert golf player but is not an advocate. Plot this information also, in the table. The table takes the following form:

 

Name
Doctor
Advocate
Banker
Engineer
Auditor
Cricket
Hockey
Basket ball
Golf
Tennis
A
 
 
 
×
×
×
×
×
×
B
 
×
 
 
×
×
×
×
×
C
 
 
 
 
×
×
 
 
×
 
D
×
×
×
×
×
×
 
×
 
E
 
 
 
 
×
×
 
 
×
 

 

In terms of statement (5), ‘E’ is a banker and plays tennis. On representing this information, the table takes the following form:

 

Name
Doctor
Advocate
Banker
Engineer
Auditor
Cricket
Hockey
Basket ball
Golf
Tennis
A
 
 
×
×
×
×
×
×
×
B
 
×
×
 
×
×
×
×
×
C
 
 
×
 
×
×
 
 
×
×
D
×
×
×
×
×
×
 
×
×
E
×
×
×
×
×
×
×
×

 

From the above table, we observe that ‘D’ does not play cricket, hockey, golf or tennis. This implies that he plays basket ball. Plot this information in the table.

 

Name
Doctor
Advocate
Banker
Engineer
Auditor
Cricket
Hockey
Basket ball
Golf
Tennis
A
 
 
×
×
 
×
×
×
×
×
B
 
×
×
 
×
×
×
×
×
C
 
 
×
 
×
×
 
×
×
×
D
×
×
×
×
×
×
×
×
E
×
×
×
×
×
×
×
×

 

Now, we observe that ‘C’ can play only hockey. Further, in terms of statement (6), ‘C’ is neither a doctor nor an advocate. On plotting these information, the table appears as shown below:

 

Name
Doctor
Advocate
Banker
Engineer
Auditor
Cricket
Hockey
Basket ball
Golf
Tennis
A
 
 
×
×
×
×
×
×
×
B
 
×
×
 
×
×
×
×
×
C
×
×
×
 
×
×
×
×
×
D
×
×
×
×
×
×
×
×
E
×
×
×
×
×
×
×
×

 

From the table, we can make out that ‘C’ is an engineer. When ‘C’ is an engineer, ‘B’ cannot be again an engineer. So, ‘B’ should be a doctor. This implies that ‘A’ is an advocate. On representing these information, the table takes the final form as shown below:

 

Name
Doctor
Advocate
Banker
Engineer
Auditor
Cricket
Hockey
Basket ball
Golf
Tennis
A
×
×
×
×
×
×
×
×
B
×
×
×
×
×
×
×
×
C
×
×
×
×
×
×
×
×
D
×
×
×
×
×
×
×
×
E
×
×
×
×
×
×
×
×

 

With the help of the above table, we can answer the questions.
 

Answer:

  1. (3)
  2. (1)
  3. (2)
  4. (4)
  5. (3)

 

Example-2

Directions: Five girls, Monisha, Anusha, Natasha, Keerthana and Praveena, are dancer, painter, singer, air hostess and a programmer and live in Mumbai, Bangalore, Agra, Delhi and Pune, but not in that order.

  1. Praveena and Natasha live neither in Mumbai nor in Pune and neither of them is a painter or a singer.
  2. Monisha and Anusha are neither a programmer nor an air hostess and they live neither in Delhi nor in Mumbai.
  3. Keerthana is neither a singer nor a dancer.
  4. The person staying in Mumbai is neither an air hostess nor a programmer.
  5. Monisha does not live in Agra and Anusha is not a singer.
  6. The dancer lives neither in Pune nor in Bangalore.
  7. Praveena is not a programmer.
  8. The programmer does not live in Delhi.

 

  1. Who is the programmer?
    1. Praveena
    2. Natasha
    3. Anusha
    4. Monisha
    5. Keerthana
  2. Where does the singer live?
    1. Bangalore
    2. Mumbai
    3. Agra
    4. Pune
    5. Delhi
  3. What is the profession of Keerthana?
    1. Dancer
    2. Air hostess
    3. Programmer
    4. Singer
    5. Painter
  4. Where does the dancer live?
    1. Agra
    2. Pune
    3. Mumbai
    4. Delhi
    5. Bangalore
  5. What is the profession of Anusha?
    1. Air hostess
    2. Painter
    3. Singer
    4. Dancer
    5. Programmer
  6.  Who lives in Mumbai?
    1. Keerthana
    2. Monisha
    3. Praveena
    4. Anusha
    5. Natasha
  7. Who is the air hostess?
    1. Monisha
    2. Natasha
    3. Keerthana
    4. Anusha
    5. Praveena
  8. Who lives in Bangalore?
    1. Painter
    2. Programmer
    3. Air hostess
    4. Dancer
    5. Singer
  9. Where does Praveena live?
    1. Bangalore
    2. Pune
    3. Agra
    4. Delhi
    5. Mumbai
  10. Who lives in Pune?
    1. Natasha
    2. Monisha
    3. Praveena
    4. Keerthana
    5. Anusha

Solution

To answer the above questions, represent the given statements in a tabular form, as shown below:

 

Name
Dancer
Painter
Singer
Air Hostess
Programmer
Mumbai
Bangalore
Agra
Delhi
Pune
Monisha
×
×
×
×
×
×
×
×
Anusha
×
×
×
×
×
×
×
×
Natasha
×
×
×
×
×
×
×
×
Keerthana
×
×
×
×
×
×
×
×
Praveena
×
×
×
×
×
×
×
×

 

Once the tick mark ( ✔ ) is put in a square, it is very important to put (×) in the other horizontal and vertical squares. This way you will be able to solve faster and also accurately.

 

Answer:

  1. (2)
  2. (4)
  3. (5)
  4. (1)
  5. (3)
  6. (1)
  7. (5)
  8. (2)
  9. (4)
  10. (2)

 

Example-3

Directions:

  1. A group of six persons, A, B, C, D, E and F, are members of a cosmopolitan club in South Delhi.
  2. Out of these six, two are musicians, two are tennis players, one is a pop singer and one is a magician.
  3. A, the pop singer, is married to D, who is a musician.
  4. The magician is married to B who is of the same profession as that of F.
  5. A, B, C and D are two married couples in the group.
  6. F and C are brothers. Similarly, D and E are sisters.
  7. In the pair of tennis players, only one is a male.

 
  1. Which of the following is a pair of musicians?
    1. B, E
    2. B, F
    3. D, E
    4. A, B
    5. A, C
  2. Who is the magician?
    1. A
    2. E
    3. B
    4. D
    5. C
  3. What is B’s profession?
    1. Musician
    2. Magician
    3. Pop singer
    4. Tennis player
    5. Cannot be determined
  4. Which of the following is a pair of males?
    1. A, B
    2. B, C
    3. D, C
    4. E, C
    5. F, C
  5. Which of the following is a pair of married women?
    1. A, B
    2. B, D
    3. C, D
    4. D, E
    5. B, C

Solution

On representing the given information in the tabular form, the table will appear as under:

 

Name
Musician
Tennis player
Pop singer
Magician
Male
Female
A
×
×
×
×
B
×
×
×
×
C
×
×
×
×
D
×
×
×
×
E
×
×
×
×
F
×
×
×
×


Answer:

  1. (3)
  2. (2)
  3. (4)
  4. (5)
  5. (2)
 

Example-4

Directions: A, B, C, D and E are five trains which run between the following stations.

  1. Mumbai and Pune;
  2. Kolkata and Mumbai;
  3. Pune and Goa;
  4. Goa and Mumbai;
  5. Pune and Kolkata.

Trains A and D do not go to Mumbai, B and C do not go to Kolkata and C and D do not touch Goa.

  1. Between which two stations the train E runs?
    1. Mumbai to Pune
    2. Goa to Mumbai
    3. Pune to Kolkata
    4. Mumbai to Kolkata
    5. Pune to Goa
  2. Which train runs between Kolkata and Pune?
    1. B
    2. D
    3. C
    4. E
    5. A
  3. Which common station do trains A and E reach?
    1. Mumbai
    2. Pune
    3. Kolkata
    4. Goa
    5. None
  4. If a person wants to go from Goa to Kolkata via Pune, which two trains would he select?
    1. A and C
    2. A and D
    3. B and E
    4. E and D
    5. B and C

Solution

Represent the given data in a tabular form.

 

Name of the train
Mumbai to Pune
Kolkata to Mumbai
Pune to Goa
Goa to Mumbai
Pune to Kolkata
A
×
×
×
×
B
×
×
×
×
C
×
×
×
×
D
×
×
×
×
E
×
×
×
×


Answer:

  1. (4)
  2. (2)
  3. (5)
  4. (2)
 

Example-5

Directions: Four men, Venkat, Jayanth, Murali and Trilok are sales executive, accountant, lawyer and doctor by profession but not in the same order and they are accompanied by their children to P. C. Sarkar’s magic show. Each person is with only one child.

  1. Trilok and Jayanth came with their sons and none of them is a sales executive or a doctor.
  2. Neetu, a sweet cute girl is not the doctor’s daughter.
  3. Gagan is not Jayanth’s son.
  4. Sumanth’s father is not an accountant.
  5. Teena is not Murali’s daughter.

 
  1. Who is the child of the sales executive?
    1. Neetu
    2. Gagan
    3. Sumanth
    4. Teena
    5. Cannot be determined
  2. Who is Gagan’s father and what is he?
    1. Trilok—Sales executive
    2. Venkat—Sales executive
    3. Murali—Accountant
    4. Trilok—Accountant
    5. None
  3. If Sumanth and Gagan are cousins, which two men are brothers?
    1. Venkat and Murali
    2. Venkat and Trilok
    3. Jayanth and Trilok
    4. Jayanth and Murali
    5. None
  4. Who is Teena’s father and what is his profession?
    1. Venkat—Sales executive
    2. Trilok—Accountant
    3. Jayanth—Lawyer
    4. Venkat—Doctor
    5. None

Solution

Enter the given information in the table.

 

 
Gagan (Boy)
Sumanth (Boy)
Neetu (Girl)
Teenu (Girl)
Sales executive
Accountant
Lawyer
Doctor
Venkat
×
×
×
×
×
×
Jayanth
×
×
×
×
×
×
Murali
×
×
×
×
×
×
Trilok
×
×
×
×
×
×


Answer:

  1. (1)
  2. (4)
  3. (3)
  4. (4)




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