Grouping and Selections MCQ Quiz - Objective Question with Answer for Grouping and Selections - Download Free PDF

Last updated on Jun 18, 2025

Grouping and selections based puzzles can involve grouping of items/persons based on a single variable or more then one variable. In these types of puzzles groups are to be formed based on the conditions provided. In such questions the numbers of items/persons a particular group possesses is also mentioned. The suitable approach here can be to form a matrix type arrangement based on which groups are to be formed. After noting down the conditions given try to fix variables based on the negation conditions mentioned,also fix the groups given directly. Start canceling cases which violate the condition provided. To gain more confidence on this topic start practicing questions given below.

Latest Grouping and Selections MCQ Objective Questions

Grouping and Selections Question 1:

Read the information and answer the question given below:

Five friends are working in a company. Kapil, Shiva and Hari are intelligent.

Kapil, Ravi and Jitin are hard working.

Ravi, Hari and Jitin are honest.

Which of the following persons is neither honest nor hardworking but is intelligent?

  1. Shiva
  2. Hari
  3. Jitin
  4. Kapil
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : Shiva

Grouping and Selections Question 1 Detailed Solution

Given: Five friends Kapil, Ravi, Jatin, Hari, Shiva are working in a company.

Explanation:

Kapil, Shiva and Hari are intelligent.

Kapil, Ravi and Jitin are hard working.

Ravi, Hari and Jitin are honest.

 

Friends

Strength

Strength

Strength

Kapil

Intelligent

Hardworking

 

Shiva

Intelligent

 

 

Hari

Intelligent

 

Honest

Jitin

 

Hardworking

Honest

Ravi

 

Hardworking

Honest

 

According to above table, shiva is neither honest nor hardworking but is intelligent.

Hence, Option 1 is the correct answer.

Grouping and Selections Question 2:

Comprehension:

Direction: Read the following information carefully and answer the questions based on given information.

Eight friends K, L, M, N, O, P, Q and R went to a shop and buy a certain number of chocolates viz, 5, 7, 9, 11, 12, 15, 16 and 18 of three different types which are Cadbury, Munch and Perk in such a way that not more than three persons buy same chocolate. K bought square number of chocolates but not the Perk. O bought Munch with only one other friend. L bought the chocolate which is the two digit prime number but different from P. R bought more chocolates than N but not the same type of chocolate. Q bought more chocolates than only one person. M and P bought different chocolates but not Munch. The person who bought least number of chocolates purchases same chocolate as of L. R and O do not bought same type of chocolate. Q and P bought same chocolate but not Cadbury. N bought one more chocolates than M but not Cadbury.

Who bought least number of chocolates?

  1. R
  2. M
  3. N
  4. O
  5. Q

Answer (Detailed Solution Below)

Option 4 : O

Grouping and Selections Question 2 Detailed Solution

Here, persons are K, L, M, N, O, P, Q and R; number of chocolates 5, 7, 9, 11, 12, 15, 16 and 18 and chocolates are Cadbury, Munch and Perk.

1) O bought Munch with only one other friend.

2) M and P bought different chocolates but not Munch.

3) Q and P bought same chocolate but not Cadbury.

Chocolates

Persons

Cadbury

M

Munch

O,

Perk

P, Q

 

4) L bought the chocolate which is the two digit prime number but different from P. Therefore, L has 11 chocolates.

5) R and O do not bought same type of chocolate.

Chocolates

Case – 1

Case – 2

Case – 3

Case – 4

Persons

Persons

Persons

Persons

Cadbury

M, L(11)

M

M, L(11), R

M, R

Munch

O

O, L(11)

O

O, L(11)

Perk

P, Q, R

P, Q, R

P, Q

P, Q

 

6) K bought square number of chocolates but not the Perk. So, K has either 9 or 16.

7) The person who bought least number of chocolates purchases same chocolate as of L.

8) N bought one more chocolates than M but not Cadbury. Therefore, M has 15 chocolates and N has 16 chocolates and K has 9 chocolates.

9) R bought more chocolates than N but not the same type of chocolate. R has 18 chocolates.

10) Q bought more chocolates than only one person. Therefore, Q has 7 chocolates. By combining, all the conditions case 1, case 2, case 3 are eliminated. Hence, the final arrangement is as follows

Chocolates

Persons

Cadbury

M (15), R (18), K (9)

Munch

O (5), L (11)

Perk

P(12), Q (7), N(16)

 

Hence, O bought only 5 chocolates.

Grouping and Selections Question 3:

Comprehension:

Direction: Read the following information carefully and answer the questions based on given information.

Eight friends K, L, M, N, O, P, Q and R went to a shop and buy a certain number of chocolates viz, 5, 7, 9, 11, 12, 15, 16 and 18 of three different types which are Cadbury, Munch and Perk in such a way that not more than three persons buy same chocolate. K bought square number of chocolates but not the Perk. O bought Munch with only one other friend. L bought the chocolate which is the two digit prime number but different from P. R bought more chocolates than N but not the same type of chocolate. Q bought more chocolates than only one person. M and P bought different chocolates but not Munch. The person who bought least number of chocolates purchases same chocolate as of L. R and O do not bought same type of chocolate. Q and P bought same chocolate but not Cadbury. N bought one more chocolates than M but not Cadbury.

Which of the following is a correct combination?

  1. R - Perk
  2. L - Cadbury
  3. N - Perk
  4. K - Munch
  5. M - Perk

Answer (Detailed Solution Below)

Option 3 : N - Perk

Grouping and Selections Question 3 Detailed Solution

Here, persons are K, L, M, N, O, P, Q and R; number of chocolates 5, 7, 9, 11, 12, 15, 16 and 18 and chocolates are Cadbury, Munch and Perk.

1) O bought Munch with only one other friend.

2) M and P bought different chocolates but not Munch.

3) Q and P bought same chocolate but not Cadbury.

Chocolates

Persons

Cadbury

M

Munch

O,

Perk

P, Q

 

4) L bought the chocolate which is the two digit prime number but different from P. Therefore, L has 11 chocolates.

5) R and O do not bought same type of chocolate.

Chocolates

Case – 1

Case – 2

Case – 3

Case – 4

Persons

Persons

Persons

Persons

Cadbury

M, L(11)

M

M, L(11), R

M, R

Munch

O

O, L(11)

O

O, L(11)

Perk

P, Q, R

P, Q, R

P, Q

P, Q

 

6) K bought square number of chocolates but not the Perk. So, K has either 9 or 16.

7) The person who bought least number of chocolates purchases same chocolate as of L.

8) N bought one more chocolates than M but not Cadbury. Therefore, M has 15 chocolates and N has 16 chocolates and K has 9 chocolates.

9) R bought more chocolates than N but not the same type of chocolate. R has 18 chocolates.

10) Q bought more chocolates than only one person. Therefore, Q has 7 chocolates. By combining, all the conditions case 1, case 2, case 3 are eliminated. Hence, the final arrangement is as follows

Chocolates

Persons

Cadbury

M (15), R (18), K (9)

Munch

O (5), L (11)

Perk

P(12), Q (7), N(16)

 

Hence, the correct combination is N - Perk.

Grouping and Selections Question 4:

Comprehension:

Direction: Read the following information carefully and answer the questions based on given information.

Eight friends K, L, M, N, O, P, Q and R went to a shop and buy a certain number of chocolates viz, 5, 7, 9, 11, 12, 15, 16 and 18 of three different types which are Cadbury, Munch and Perk in such a way that not more than three persons buy same chocolate. K bought square number of chocolates but not the Perk. O bought Munch with only one other friend. L bought the chocolate which is the two digit prime number but different from P. R bought more chocolates than N but not the same type of chocolate. Q bought more chocolates than only one person. M and P bought different chocolates but not Munch. The person who bought least number of chocolates purchases same chocolate as of L. R and O do not bought same type of chocolate. Q and P bought same chocolate but not Cadbury. N bought one more chocolates than M but not Cadbury.

Which of the following statement(s) is/ are correct?

  1. R bought second highest number of chocolates of Perk.
  2. P bought prime number of Cadbury chocolates.
  3. L bought the same chocolate as of O who bought least number of chocolates.
  4. K bought even number of cadbury chocolates.
  5. More than one option

Answer (Detailed Solution Below)

Option 3 : L bought the same chocolate as of O who bought least number of chocolates.

Grouping and Selections Question 4 Detailed Solution

Here, persons are K, L, M, N, O, P, Q and R; number of chocolates 5, 7, 9, 11, 12, 15, 16 and 18 and chocolates are Cadbury, Munch and Perk.

1) O bought Munch with only one other friend.

2) M and P bought different chocolates but not Munch.

3) Q and P bought same chocolate but not Cadbury.

Chocolates

Persons

Cadbury

M

Munch

O,

Perk

P, Q

 

4) L bought the chocolate which is the two digit prime number but different from P. Therefore, L has 11 chocolates.

5) R and O do not bought same type of chocolate.

Chocolates

Case – 1

Case – 2

Case – 3

Case – 4

Persons

Persons

Persons

Persons

Cadbury

M, L(11)

M

M, L(11), R

M, R

Munch

O

O, L(11)

O

O, L(11)

Perk

P, Q, R

P, Q, R

P, Q

P, Q

 

6) K bought square number of chocolates but not the Perk. So, K has either 9 or 16.

7) The person who bought least number of chocolates purchases same chocolate as of L.

8) N bought one more chocolates than M but not Cadbury. Therefore, M has 15 chocolates and N has 16 chocolates and K has 9 chocolates.

9) R bought more chocolates than N but not the same type of chocolate. R has 18 chocolates.

10) Q bought more chocolates than only one person. Therefore, Q has 7 chocolates. By combining, all the conditions case 1, case 2, case 3 are eliminated. Hence, the final arrangement is as follows

Chocolates

Persons

Cadbury

M (15), R (18), K (9)

Munch

O (5), L (11)

Perk

P(12), Q (7), N(16)

 

Hence, the correct statement is L bought the same chocolate as of O who bought least number of chocolates. 

Grouping and Selections Question 5:

Comprehension:

Direction: Read the following information carefully and answer the questions based on given information.

Eight friends K, L, M, N, O, P, Q and R went to a shop and buy a certain number of chocolates viz, 5, 7, 9, 11, 12, 15, 16 and 18 of three different types which are Cadbury, Munch and Perk in such a way that not more than three persons buy same chocolate. K bought square number of chocolates but not the Perk. O bought Munch with only one other friend. L bought the chocolate which is the two digit prime number but different from P. R bought more chocolates than N but not the same type of chocolate. Q bought more chocolates than only one person. M and P bought different chocolates but not Munch. The person who bought least number of chocolates purchases same chocolate as of L. R and O do not bought same type of chocolate. Q and P bought same chocolate but not Cadbury. N bought one more chocolates than M but not Cadbury.

Who bought same chocolates as of O?

  1. One who has bought highest number of chocolates.
  2. One who bought even number of chocolates.
  3. N
  4. K
  5. One who bought highest prime number chocolates.

Answer (Detailed Solution Below)

Option 5 : One who bought highest prime number chocolates.

Grouping and Selections Question 5 Detailed Solution

Here, persons are K, L, M, N, O, P, Q and R; number of chocolates 5, 7, 9, 11, 12, 15, 16 and 18 and chocolates are Cadbury, Munch and Perk.

1) O bought Munch with only one other friend.

2) M and P bought different chocolates but not Munch.

3) Q and P bought same chocolate but not Cadbury.

Chocolates

Persons

Cadbury

M

Munch

O,

Perk

P, Q

 

4) L bought the chocolate which is the two digit prime number but different from P. Therefore, L has 11 chocolates.

5) R and O do not bought same type of chocolate.

Chocolates

Case – 1

Case – 2

Case – 3

Case – 4

Persons

Persons

Persons

Persons

Cadbury

M, L(11)

M

M, L(11), R

M, R

Munch

O

O, L(11)

O

O, L(11)

Perk

P, Q, R

P, Q, R

P, Q

P, Q

 

6) K bought square number of chocolates but not the Perk. So, K has either 9 or 16.

7) The person who bought least number of chocolates purchases same chocolate as of L.

8) N bought one more chocolates than M but not Cadbury. Therefore, M has 15 chocolates and N has 16 chocolates and K has 9 chocolates.

9) R bought more chocolates than N but not the same type of chocolate. R has 18 chocolates.

10) Q bought more chocolates than only one person. Therefore, Q has 7 chocolates. By combining, all the conditions case 1, case 2, case 3 are eliminated. Hence, the final arrangement is as follows

Chocolates

Persons

Cadbury

M (15), R (18), K (9)

Munch

O (5), L (11)

Perk

P(12), Q (7), N(16)

 

Since, both O and L bought same type of chocolates and L bought 11 chocolates which is the highest prime number as per given data.

Hence, the correct answer is One who bought highest prime number chocolates. 

Top Grouping and Selections MCQ Objective Questions

Comprehension:

Direction: Read the following information carefully and answer the given questions.

In an organization, there are nine employees, A, B, C, D, E, F, G, H, and I work in three different departments viz. IT, HR, and Production with at least two employees and not more than three in any department, but not necessarily in the same order. No two persons with preceding or succeeding alphabetic series work in the same department. (Example: X and Y or Y and Z do not work in the same department). G works in the production department but not with D and H. B works in the IT department but not with E and I. A works in the HR department but not with C and F. Either D or C works along with B. Neither E nor F works with G.

Which of the following groups of employees work in the Production department?

  1. HBD
  2. ACE
  3. CGI
  4. Data inadequate
  5. None of these

Answer (Detailed Solution Below)

Option 3 : CGI

Grouping and Selections Question 6 Detailed Solution

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Answer:- (3)

There are nine employees, A, B, C, D, E, F, G, H, and I.

Those are working in three different departments viz. IT, HR, and Production.

1. G works in the production department but not with D and H.

2. B works in the IT department but not with E and I.

 

Department

Employee

IT

B

HR

A

Production

G

3. A works in the HR department but not with C and F.

4. Either D or C works along with B.

(No two persons with preceding or succeeding alphabetic series work in the same department.)

So, D works with B.

 

Department

Employee

IT

B, D

HR

A

Production

G

 

5. Neither E nor F works with G. 

6. A works in the HR department but not with C and F.

So, F works in the IT department.

 

Department

Employee

IT

B, D, F

HR

A

Production

G

 

7. Neither E nor F works with G.

8. A works in the HR department but not with C and F.

So, E works in the HR department and C works in the production department.

 

Department

Employee

IT

B, D, F

HR

A, E

Production

G, C

 

9. No two persons with preceding or succeeding alphabetic series work in the same department.

So, the final arrangement is,

 

Department

Employee

IT

B, D, F

HR

A, E, H

Production

G, C, I

 

Hence, employees C, G, I work in the Production department.

A team is to be selected from 13 players P1, P2, P3, P4, P5, P6, P7, P8, P9, P10, P11, P12 and P13. There will be seven players in the team. P2 cannot be selected with P1, P6 or P4. P7 cannot be selected with P2, P10, P11 or P13. If P8 and P13 both are selected, then P5 must be selected. P4 cannot be selected with P2, P10, P12 or P11. Which of the following is a correct selection of the team?   

  1. P1, P3, P4, P5, P6, P8, P9
  2. P1, P6, P11, P12, P13, P3, P4
  3. P1, P3, P4, P5, P8, P9, P13
  4. P2, P3, P5, P7, P8, P9, P13 

Answer (Detailed Solution Below)

Option 3 : P1, P3, P4, P5, P8, P9, P13

Grouping and Selections Question 7 Detailed Solution

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A team is to be selected from 13 players P1, P2, P3, P4, P5, P6, P7, P8, P9, P10, P11, P12 and P13.

1) P2 cannot be selected with P1, P6 or P4.

2) P7 cannot be selected with P2, P10, P11 or P13.

3) If P8 and P13 both are selected, then P5 must be selected.

4) P4 cannot be selected with P2, P10, PI2 or P11.

Option 1 - P1, P3, P4, P5, P6, P8, P9 in which P8 and P13 always with P5, So P13 not present with P8 and P5. So it is incorrect combination.

Option 2 - P1, P6, P11, P12, P13, P3, P4 in which P8 and P13 always with P5, so P5 and P8 not present and P4 cannot be selected with P11 and P12. So it is incorrect combination.

Option 3 - P1, P3, P4, P5, P8, P9, P13. follow all the condition. So it is correct combination. 

Option 4 - P2, P3, P5, P7, P8, P9, P13  in which P2 and P7 both together but in condition P2 and P7 never with same combination. So it is incorrect combination.

Hence, "option 3" is the correct answer.

There are four people sitting in a room. When asked a question, each of them gives two answers. Only two out of the four people give one right answer and one wrong answer, while other two persons give both answers wrong. When asked about the day today, person 1 says its Wednesday or Sunday. Person 2 says its Monday or Saturday. Person 3 says its Tuesday or Friday. And person 4 says its Thursday or Wednesday. What is the day today?

  1. Sunday
  2. Saturday
  3. Friday
  4. Wednesday

Answer (Detailed Solution Below)

Option 4 : Wednesday

Grouping and Selections Question 8 Detailed Solution

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Given,

  • Two persons give one right answer and one wrong answer.
  • Two persons give both answers wrong.

⇒ Thus, the day which is common in the answer of any two persons and also that day should not be answered by remaining two persons (who gave only wrong answers) would be the day today.

Tabulating the given information-

Pic194

Thus, Wednesday is the common answer given by Person 1 and Person 4.

Also, Wednesday is not given as an answer by Person 2 and Person 3.

Thus, Wednesday is the day today.

Hence, 'option 4' is the correct answer.

In a class of 120 students, 100 students participate in either Golf or Skating or both. Among them, total 60 students participate in Golf. A total of 56 students participate in Skating. How many students participate only in Skating?

  1. 40
  2. 16
  3. 44
  4. 36

Answer (Detailed Solution Below)

Option 1 : 40

Grouping and Selections Question 9 Detailed Solution

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According to the given information:

Given

Total students in a class = 120

Students participate in either Golf or Skating or both = 100

Total students participate in Golf = 60

Total students participate in Skating = 56

Concept used:

Used of Venn diagram.

F1 Shraddha Prashant 12.03 (3)

From diagram,

Students who both play = 56 + 60 - 100 = 116 - 100 = 16

Now students who only Skating = 56 - 16 = 40

Hence, the correct answer is "40". 

There are eight girls A to H was need to go for dance sessions in two batches of four girls each. Following are the criteria:

(1) B and H have to go together

(2) D and F do not go together

(3) A and C never go together

If B and C go in the first batch, then who of the following can be in the second batch?

  1. A, D, F and G
  2. A, D, H and G
  3. A, D, E and G
  4. A, C, E and G

Answer (Detailed Solution Below)

Option 3 : A, D, E and G

Grouping and Selections Question 10 Detailed Solution

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Arranging them according to the given information,

Given,

B and C go in the first batch

B and H have to go together, so H is in the first batch

A and C never go together, so A is in the second batch

D and F do not go together

Case 1:

Batch 1

Batch 2

B, C, H, D

A, F, E, G

 

Case 2:

Batch 1

Batch 2

B, C, H, F

A,D, E, G

 

Among the given options A, D, E and G are in the second batch.

Hence, “A, D, E and G” is the correct answer.

Comprehension:

Direction: Study the following information carefully and answer the question given below.

In an organization, nine persons: J, K, L, M, N, O, P, Q and R work in three different departments Marketing, Finance and HR. At least two persons work in a department but not more than four can work in a single department.
Only L works with M in the same department. N and K work in two different departments. O works in the HR department. R does not work in the HR department. Q does not work with P but works with J. K who does not work with O and works in the Finance department. Only three people work in the HR department.

Who among the following does not work in the Finance department?

  1. M
  2. J
  3. K
  4. None of the above
  5. Both J and K

Answer (Detailed Solution Below)

Option 1 : M

Grouping and Selections Question 11 Detailed Solution

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Given: Nine persons: J, K, L, M, N, O, P, Q and R 

Three departments: Marketing, Finance and HR

1. Only L work with M in the same department.

Department

Employee

 

L, M

 

 

 

 

 

2. O works in the HR department.

Department

Employee

 

L, M

HR

O

 

 


3. R does not work in HR department. 

Department

Employee

 

L, M

HR

O

 

R


4. K who does not work with O and works in the Finance department. 

Department

Employee

 

L, M

HR

O

Finance

R, K

 

5. Q does not work with P but works with J. 

6. Only three people work in the HR department.

7. N and K work in two different departments. 

Department

Employee

Marketing

L, M

HR

O, N, P

Finance

R, K, Q, J

 

Hence, M does not work in the Finance department.

Use the following passage for the questions based on it.

Rahul and Kusum are good in Hindi and Maths, Sameer and Rahul are good in Hindi and Biology. Gita and Kusum are good in Marathi and Maths. Sameer, Gita and Mihir are good in History and Biology.

Who is good in both Biology and Marathi?

A. Gita

B. Kusum

C. Sameer

D. Mihir

  1. D
  2. A
  3. B
  4. C

Answer (Detailed Solution Below)

Option 2 : A

Grouping and Selections Question 12 Detailed Solution

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The combinations are:

Rahul + Kusum = Hindi + Maths------ (i )

Sameer + Rahul = Hindi + Biology-------(ii)

Gita + Kusum = Marathi + Maths-------(iii)

Sameer + Gita + Mihir = History + Biology-------(iv)

There can be two possible combinations for Marathi and Biology:

Using (ii) and (iii)

Sameer + Rahul = Hindi + Biology-------(ii)

Gita + Kusum = Marathi + Maths-------(iii)

But here no one is common so we cannot determine that person who is good in both Marathi and Biology.

Using (iii) and (iv)

Gita + Kusum = Marathi + Maths-------(iii)

Sameer + Gita + Mihir = History + Biology-------(iv)

Here Gita is common, so Gita is good in both Biology and Marathi.

Six persons P, Q, R, S, T and U read a magazine one after another.

i. S was neither the first nor the last to read it.
ii. There were as many readers between P and T as there were between R and P.
iii. S read it sometime before Q, who read it sometime after U.
iv. The one who read it last had taken it from R.

Who were the two persons to have read the magazine first and last, respectively?

  1. T and Q
  2. P and Q
  3. T and U
  4. P and U

Answer (Detailed Solution Below)

Option 1 : T and Q

Grouping and Selections Question 13 Detailed Solution

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Given:

Six persons: P, Q, R, S, U and T.

1. The one who read it last had taken it from R.

F1 Madhuri SSC 28.04.2022 D11

As R read the magazine before the Last one it means R read the magazine.

2. S was neither the first nor the last to read it.

F1 Madhuri SSC 28.04.2022 D12        

F1 Madhuri SSC 28.04.2022 D13                   

F1 Madhuri SSC 28.04.2022 D14                                                                                           

As S was neither the first nor the last to read the magazine, S was read the magazine on the 2nd or 3rd , or 4th number.so there are three cases.

3. S read it sometime before Q, who read it sometime after U

​There are 4 cases showing the reading number of 'Q' with respect to 'S'.

F1 Madhuri SSC 28.04.2022 D15

F1 Madhuri SSC 28.04.2022 D16

F1 Madhuri SSC 28.04.2022 D17

F1 Madhuri SSC 28.04.2022 D18

There are 7 cases showing the reading number of 'Q' with respect to 'U'.

F1 Madhuri SSC 28.04.2022 D19

F1 Madhuri SSC 28.04.2022 D20

F1 Madhuri SSC 28.04.2022 D21

F1 Madhuri SSC 28.04.2022 D22

F1 Madhuri SSC 28.04.2022 D23

F1 Madhuri SSC 28.04.2022 D24

F1 Madhuri SSC 28.04.2022 D25

4. There were as many readers between P and T as there were between R and P.

​So,according to this statement, all the above 6 cases are eliminated only one case (case-2) remaining that shows the sequence of reading the magazine by all 6 persons.

F1 Madhuri SSC 28.04.2022 D26

As per the above statement, we can say that number of readers between P and T is equal to the number of readers between R and P. here Between T and P only one reader which is U. similarly, between P and R only one reader which is S.

Thus, T and Q have read the magazine first and last respectively.

Hence, The correct answer is "T and Q".                                                       

Comprehension:

Direction: Read the following information carefully and answer the given questions:

There are nine people A, B, C, D, E, F, G, H and I who all live in different cities such as Mumbai, Kolkata, and Jaipur but not necessarily in the same order. Not more than three people live in the same city and at least two people live in the same city. A neither live in Mumbai nor in Kolkata. D and G are friends but live in different cities but none of them lives in Jaipur. Either H or F lives in Kolkata. B and G live in the same city but it's not Mumbai. D, E and I are friends and the two of them live in the same city. E and H live in the same city but not Mumbai.

Which of the following group will live in Kolkata?

  1. A, B, E
  2. F, C, H
  3. A, D, G
  4. C, D, I
  5. B, G, F

Answer (Detailed Solution Below)

Option 5 : B, G, F

Grouping and Selections Question 14 Detailed Solution

Download Solution PDF

There are 9 people:  A, B, C, D, E, F, G, H and I

Three different cities: Mumbai, Kolkata, and Jaipur

1). A neither lives in Mumbai or Kolkata.

With this statement, We know A will live in Jaipur.

2). D and G are friends but live in different cities but none of them lives in Jaipur.

D and G will live in the same city but none of them lives in Jaipur means either they will live in Mumbai or Kolkata.

City

Name of person

 

Case I

Case II

Jaipur

A

A

Mumbai

D

G

Kolkata

G

D


3). Either H or F lives in Kolkata.

4). B and G live in the same city but it's not Mumbai.

As we know G will live in Mumbai or Kolkata but with this statement, We know G will not live in Mumbai so she will live in Kolkata.

Here Case II eliminates as G will not live in Mumbai and case I Split into one more Case I.I

City

Name of Person

 

Case I

Case I.I

Jaipur

A

A

Mumbai

D

D

Kolkata

G, H, B

G, F, B

 

5). I, E and D are friends and the two of them live in the same city.

We already know that D lives in Mumbai so either E or I live in Mumbai.

6). E and H live in the same city but not Mumbai. 

Here, Case I.I eliminate as E does not live in Mumbai, E and H live in the same city, and there is no place in Kolkata.

So, E and H live in Jaipur.

As C is left so she will live in Mumbai and Since E lives in Jaipur so I will live in Mumbai.

So, The final arrangement is:

City

Name of person

Jaipur

A, E, H

Mumbai

C, D, I

Kolkata

B, G, F


B, G and F live in Kolkata.

Mistake Points Kindly read the statement carefully, " I, E and D are friends and the two of them live in the same city." In solution, I and D both are living in the same city.

In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is 

  1. 12
  2. 10
  3. 7
  4. 5

Answer (Detailed Solution Below)

Option 3 : 7

Grouping and Selections Question 15 Detailed Solution

Download Solution PDF

A cow has four legs and a hen has 2 legs.

Let the hens be y and the cows be x.

Given,

The number of legs are 14 more than twice the number of heads.

4x + 2y = 2(x + y) + 14

4x + 2y = 2x + 2y + 14

2x = 14

x = 7

So, number of cows are 7.

Hence, “7” is the correct answer.
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