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

Last updated on Jul 9, 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:

Comprehension:

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

Seven friends D, K, M, O, R, S and Y decided to plan a trip in three different cities which are Mumbai, Kolkata and Bangalore and likes to wear different colours shirt that is Black, Blue, Orange, Pink, Purple, Red and White but not necessarily in same order. At least two persons make a trip of a city but not more than three person plans to make a trip for the same city. D and the person who likes to wear Pink colour shirt plan for a trip for the same city. K and M plans for the trip for different cities but none of them plans for Bangalore. Either D or M likes Red colour shirt. R likes to wear Black colour shirt and decided to go with only one person. S and the person who likes White colour shirt plans trip for the same city but not Mumbai. D does not like to wear White colour shirt. The person who likes Blue colour shirt plans trip to the Bangalore. Neither K nor Y likes Pink colour and Red colour shirt. M and Y plans trip for the same city. The person who likes Purple colour shirt does not make trip with R.

The person who likes Orange colour shirt plans to make a trip for which city?

  1. Mumbai
  2. Kolkata
  3. Bangalore
  4. Either Mumbai or Bangalore
  5. Either Bangalore or Kolkata

Answer (Detailed Solution Below)

Option 1 : Mumbai

Grouping and Selections Question 1 Detailed Solution

Given persons are D, K, M, O, R, S and Y; cities are Mumbai, Kolkata and Bangalore and the colours of shirts are Black, Blue, Orange, Pink, Purple, Red and White.

1) K and M plans for the trip for different cities but none of them plans for Bangalore.    

2) M and Y plans trip for the same city.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

 

 

 

3) D and the person who likes to wear Pink colour shirt plan for a trip for the same city.

4) Neither K nor Y likes Pink colour and Red colour shirt.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

D, (Pink)

D, (Pink)

 

5) S and the person who likes White colour shirt plans trip for the same city but not Mumbai.

6) D does not like to wear White colour shirt.

7) The person who likes Blue colour shirt plans trip to the Bangalore.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y, S

K, S

Bangalore

D (Blue), (Pink)

D (Blue), (Pink)

 

8) R likes to wear Black colour shirt and decided to go with only one person. Therefore, case 2 is eliminated.

9) Either D or M likes Red colour shirt. Therefore, M likes Red colour shirt.

10) The person who likes Purple colour shirt does not make trip with R. Hence, the final arrangement is as follows

Cities

Persons

Mumbai

K (Orange), R (Black)

Kolkata

M (Red), Y (White), S (Purple)

Bangalore

D (Blue), O (Pink)

 

Since, K likes to wear Orange shirt and plans to make a trip for Mumbai.

Hence, the correct answer is Mumbai.

Grouping and Selections Question 2:

Comprehension:

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

Seven friends D, K, M, O, R, S and Y decided to plan a trip in three different cities which are Mumbai, Kolkata and Bangalore and likes to wear different colours shirt that is Black, Blue, Orange, Pink, Purple, Red and White but not necessarily in same order. At least two persons make a trip of a city but not more than three person plans to make a trip for the same city. D and the person who likes to wear Pink colour shirt plan for a trip for the same city. K and M plans for the trip for different cities but none of them plans for Bangalore. Either D or M likes Red colour shirt. R likes to wear Black colour shirt and decided to go with only one person. S and the person who likes White colour shirt plans trip for the same city but not Mumbai. D does not like to wear White colour shirt. The person who likes Blue colour shirt plans trip to the Bangalore. Neither K nor Y likes Pink colour and Red colour shirt. M and Y plans trip for the same city. The person who likes Purple colour shirt does not make trip with R.

Who likes Purple colour shirt?

  1. Y
  2. K
  3. S
  4. M
  5. D

Answer (Detailed Solution Below)

Option 3 : S

Grouping and Selections Question 2 Detailed Solution

Given persons are D, K, M, O, R, S and Y; cities are Mumbai, Kolkata and Bangalore and the colours of shirts are Black, Blue, Orange, Pink, Purple, Red and White.

1) K and M plans for the trip for different cities but none of them plans for Bangalore.    

2) M and Y plans trip for the same city.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

 

 

 

3) D and the person who likes to wear Pink colour shirt plan for a trip for the same city.

4) Neither K nor Y likes Pink colour and Red colour shirt.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

D, (Pink)

D, (Pink)

 

5) S and the person who likes White colour shirt plans trip for the same city but not Mumbai.

6) D does not like to wear White colour shirt.

7) The person who likes Blue colour shirt plans trip to the Bangalore.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y, S

K, S

Bangalore

D (Blue), (Pink)

D (Blue), (Pink)

 

8) R likes to wear Black colour shirt and decided to go with only one person. Therefore, case 2 is eliminated.

9) Either D or M likes Red colour shirt. Therefore, M likes Red colour shirt.

10) The person who likes Purple colour shirt does not make trip with R. Hence, the final arrangement is as follows

Cities

Persons

Mumbai

K (Orange), R (Black)

Kolkata

M (Red), Y (White), S (Purple)

Bangalore

D (Blue), O (Pink)

 

Hence, S likes to wear Purple colour shirt.

Grouping and Selections Question 3:

Comprehension:

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

Seven friends D, K, M, O, R, S and Y decided to plan a trip in three different cities which are Mumbai, Kolkata and Bangalore and likes to wear different colours shirt that is Black, Blue, Orange, Pink, Purple, Red and White but not necessarily in same order. At least two persons make a trip of a city but not more than three person plans to make a trip for the same city. D and the person who likes to wear Pink colour shirt plan for a trip for the same city. K and M plans for the trip for different cities but none of them plans for Bangalore. Either D or M likes Red colour shirt. R likes to wear Black colour shirt and decided to go with only one person. S and the person who likes White colour shirt plans trip for the same city but not Mumbai. D does not like to wear White colour shirt. The person who likes Blue colour shirt plans trip to the Bangalore. Neither K nor Y likes Pink colour and Red colour shirt. M and Y plans trip for the same city. The person who likes Purple colour shirt does not make trip with R.

Find the odd one out.

  1. K
  2. R
  3. O
  4. D
  5. Y

Answer (Detailed Solution Below)

Option 5 : Y

Grouping and Selections Question 3 Detailed Solution

Given persons are D, K, M, O, R, S and Y; cities are Mumbai, Kolkata and Bangalore and the colours of shirts are Black, Blue, Orange, Pink, Purple, Red and White.

1) K and M plans for the trip for different cities but none of them plans for Bangalore.    

2) M and Y plans trip for the same city.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

 

 

 

3) D and the person who likes to wear Pink colour shirt plan for a trip for the same city.

4) Neither K nor Y likes Pink colour and Red colour shirt.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

D, (Pink)

D, (Pink)

 

5) S and the person who likes White colour shirt plans trip for the same city but not Mumbai.

6) D does not like to wear White colour shirt.

7) The person who likes Blue colour shirt plans trip to the Bangalore.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y, S

K, S

Bangalore

D (Blue), (Pink)

D (Blue), (Pink)

 

8) R likes to wear Black colour shirt and decided to go with only one person. Therefore, case 2 is eliminated.

9) Either D or M likes Red colour shirt. Therefore, M likes Red colour shirt.

10) The person who likes Purple colour shirt does not make trip with R. Hence, the final arrangement is as follows

Cities

Persons

Mumbai

K (Orange), R (Black)

Kolkata

M (Red), Y (White), S (Purple)

Bangalore

D (Blue), O (Pink)

 

Since, Y plans to make a trip in which maximum person plans for the trip whereas rest of the person plans trip with only one other person.

Hence, the odd one is Y.

Grouping and Selections Question 4:

Comprehension:

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

Seven friends D, K, M, O, R, S and Y decided to plan a trip in three different cities which are Mumbai, Kolkata and Bangalore and likes to wear different colours shirt that is Black, Blue, Orange, Pink, Purple, Red and White but not necessarily in same order. At least two persons make a trip of a city but not more than three person plans to make a trip for the same city. D and the person who likes to wear Pink colour shirt plan for a trip for the same city. K and M plans for the trip for different cities but none of them plans for Bangalore. Either D or M likes Red colour shirt. R likes to wear Black colour shirt and decided to go with only one person. S and the person who likes White colour shirt plans trip for the same city but not Mumbai. D does not like to wear White colour shirt. The person who likes Blue colour shirt plans trip to the Bangalore. Neither K nor Y likes Pink colour and Red colour shirt. M and Y plans trip for the same city. The person who likes Purple colour shirt does not make trip with R.

Who among the following makes a trip for the same city as of the person who likes Black colour?

  1. M
  2. The one who likes to wear Red colour shirt.
  3. K
  4. The one who likes to wear Orange colour shirt.
  5. Both 3 and 4

Answer (Detailed Solution Below)

Option 5 : Both 3 and 4

Grouping and Selections Question 4 Detailed Solution

Given persons are D, K, M, O, R, S and Y; cities are Mumbai, Kolkata and Bangalore and the colours of shirts are Black, Blue, Orange, Pink, Purple, Red and White.

1) K and M plans for the trip for different cities but none of them plans for Bangalore.    

2) M and Y plans trip for the same city.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

 

 

 

3) D and the person who likes to wear Pink colour shirt plan for a trip for the same city.

4) Neither K nor Y likes Pink colour and Red colour shirt.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

D, (Pink)

D, (Pink)

 

5) S and the person who likes White colour shirt plans trip for the same city but not Mumbai.

6) D does not like to wear White colour shirt.

7) The person who likes Blue colour shirt plans trip to the Bangalore.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y, S

K, S

Bangalore

D (Blue), (Pink)

D (Blue), (Pink)

 

8) R likes to wear Black colour shirt and decided to go with only one person. Therefore, case 2 is eliminated.

9) Either D or M likes Red colour shirt. Therefore, M likes Red colour shirt.

10) The person who likes Purple colour shirt does not make trip with R. Hence, the final arrangement is as follows

Cities

Persons

Mumbai

K (Orange), R (Black)

Kolkata

M (Red), Y (White), S (Purple)

Bangalore

D (Blue), O (Pink)

 

Since, R likes Black colour shirt and makes a trip with the K who likes Orange colour shirt.

Hence, the correct answer is both 3 and 4.

Grouping and Selections Question 5:

Comprehension:

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

Seven friends D, K, M, O, R, S and Y decided to plan a trip in three different cities which are Mumbai, Kolkata and Bangalore and likes to wear different colours shirt that is Black, Blue, Orange, Pink, Purple, Red and White but not necessarily in same order. At least two persons make a trip of a city but not more than three person plans to make a trip for the same city. D and the person who likes to wear Pink colour shirt plan for a trip for the same city. K and M plans for the trip for different cities but none of them plans for Bangalore. Either D or M likes Red colour shirt. R likes to wear Black colour shirt and decided to go with only one person. S and the person who likes White colour shirt plans trip for the same city but not Mumbai. D does not like to wear White colour shirt. The person who likes Blue colour shirt plans trip to the Bangalore. Neither K nor Y likes Pink colour and Red colour shirt. M and Y plans trip for the same city. The person who likes Purple colour shirt does not make trip with R.

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

A) Y likes Purple colour shirt.

B) S and K plans trip for the different cities.

C) D likes Blue colour shirt.

  1. Only A
  2. Both A and B
  3. Only B
  4. Both B and C
  5. Both A and C

Answer (Detailed Solution Below)

Option 4 : Both B and C

Grouping and Selections Question 5 Detailed Solution

Given persons are D, K, M, O, R, S and Y; cities are Mumbai, Kolkata and Bangalore and the colours of shirts are Black, Blue, Orange, Pink, Purple, Red and White.

1) K and M plans for the trip for different cities but none of them plans for Bangalore.    

2) M and Y plans trip for the same city.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

 

 

 

3) D and the person who likes to wear Pink colour shirt plan for a trip for the same city.

4) Neither K nor Y likes Pink colour and Red colour shirt.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y

K

Bangalore

D, (Pink)

D, (Pink)

 

5) S and the person who likes White colour shirt plans trip for the same city but not Mumbai.

6) D does not like to wear White colour shirt.

7) The person who likes Blue colour shirt plans trip to the Bangalore.

Cities

Case – 1

Case – 2

Persons

Persons

Mumbai

K

M, Y

Kolkata

M, Y, S

K, S

Bangalore

D (Blue), (Pink)

D (Blue), (Pink)

 

8) R likes to wear Black colour shirt and decided to go with only one person. Therefore, case 2 is eliminated.

9) Either D or M likes Red colour shirt. Therefore, M likes Red colour shirt.

10) The person who likes Purple colour shirt does not make trip with R. Hence, the final arrangement is as follows

Cities

Persons

Mumbai

K (Orange), R (Black)

Kolkata

M (Red), Y (White), S (Purple)

Bangalore

D (Blue), O (Pink)

 

Since, Y likes White colour shirt. Therefore, statement A is incorrect.

S plans trip for Kolkata whereas K plans trip for Mumbai. Therefore, statement B is correct.

D likes Blue colour shirt. Therefore, statement C is correct.

Hence, the correct answer is both B and C.

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-

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.

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.

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.

        

                   

                                                                                           

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'.

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

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.

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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