Logical Puzzles

Delhi Law Academy

Things to keep in mind:

  • Tables are your friend – immediately start drawing up a table
  • Capture the given information correctly first
  • Then, start applying logic on each statement to see what you can draw out of it
  • There is a chance of information overload – deal with the given information calmly one statement at a time
  • Remember, getting the table right is critical – so make sure you test your table against the given statements

 

Use the statements given below to answer Q1 to Q5
There are six cities: A, B, C, D, E and F

A is not a hill station

B and E are not historical places

Dis not an industrial city

A and D are not historical cities

A and B are not alike

 

Q1: Which 2 cities are industrial centers?

  1. A and B
  2. E and F
  3. C and D
  4. B and F
  5. A and D

 

Q2: Which 2 cities are historical places?

  1. A and C
  2. B and F
  3. C and F
  4. B and E
  5. A and D

 

Q3: Which city is a hill station and an industrial centre but not a historical place?

  1. E
  2. F
  3. A
  4. B
  5. C

 

Q4: Which two cities are hill stations?

  1. E
  2. F
  3. A
  4. B
  5. C

 

Q5: Which two cities are neither historical places nor industrial centres?

  1. A and B
  2. D and E
  3. F and C
  4. B and D
  5. None of the above

 

Q6: Five children were administered psychological tests to know their intellectual level. In the report, the psychologist pointed out that Child A is less intelligent than Child B. Child C is less intelligent than Child D. Child B Is less intelligent than Child C and Child A is more intelligent than Child E. Which child is most intelligent?

  1. A
  2. E
  3. D
  4. B
  5. None of the above

 

Q7: Forty per cent of the boys in a class play football and one-third of the remaining play volleyball. Half of those who play football also play cricket. Considering the abpve which of the following statements is definitely true

  1. Forty per cent of the boys do not play any game
  2. Those who play volleyball do not play any other game
  3. Some boys play football as well as volley ball
  4. At least twenty per cent of the boys play cricket
  5. Those who play cricket do not play any other game

 

Q8-12: The Director of the Institute has announced that six guest lecturers on different areas like Leadership, Decision making, Quality Circles, Motivation, Assessment Centre and Group Discussion are to be organized, only one on each day from Monday to Sunday in the month of March 1996, in accordance with the following:

  1. Motivation should be organized immediately after Assessment Centre
  2. Quality Circle should be organized on Wednesday and should not be followed by Group Discussion
  3. Decision Making should be organized on Friday and there should be a gap of two days between Leadership and Group Discussion
  4. One day, there will be no lecture (Saturday is not that day), just before that day Group Discussion will be organised

 

Q8. How many lectures are organised between Motivation and quality Circle?

  1. 3
  2. 4
  3. 2
  4. 1
  5. None of the above

 

Q9. Which of the following information is not required for the above lecture arrangements?

  1. Only A
  2. Only B
  3. Only C
  4. Only D
  5. All are required

 

Q10. On which day is there no lecture?

  1. Monday
  2. Sunday
  3. Tuesday
  4. Wednesday
  5. None of the above

 

Q11. Which of the two pairs of lectures organise on first and last day?

  1. Group Discussion and Decisio Making
  2. Quality Circle and Motivation
  3. Leadership and Assessment Centre
  4. Group Discussion and Quality Circle
  5. None of the above

 

Q12. On which day will the lecture on Leadership be organised?

  1. Wednesday
  2. Friday
  3. Saturday
  4. Tuesday
  5. None of the above

 

Q13-17. Given that

(i)   Six friends P, Q, R, S, T and U are members of a club and play a different game of football, cricket, tennis, basketball, badminton and volleyball

(ii)  T who is taller than P and S (in that order), plays tennis

(iii) The tallest among them plays basketball

(iv) The shortest among them plays volleyball

(v)  Q and S neither play volleyball nor basketball

(vi) R plays volleyball

(vii) T is between Q who plays football and P in order of height

 

Q13. What does S play?

(a)        Football

(b)       Either cricket or badiminton

(c)        Cricket

(d)       Badiminton

(e)        None of these

 

Q14. Who among them is taller than R but shorter than P?

(a)        T

(b)       Data inadequate

(c)        Q

(d)       U

(e)        None of these

 

Q15. Who among them plays basketball?

(a)        S

(b)       U

(c)        Q

(d)       K

(e)        None of these

 

Q16. Which of the following statements is not true?

(a)        T is taller than R

(b)       U is taller than Q

(c)        P is shorter than R

(d)       Q is taller than S

(e)        S is taller than R

 

Q17. Who will be at the third place if they are arranged in descending order of their height?

(a)        T

(b)       Q

(c)        P

(d)       S

(e)        None of these

 

Q 18 – 24. Following are the conditions for selecting Coordinator for a training programme on Industrial Relations. The candidate must

(i)        be a Post-Graduate in Psychology or in Personnel Management

(ii)       have worked as Personnel Manager in an organisation for at least ten years or been teaching in University/Institute for at least six years

(iii)      have worked as guest speaker in similar programme

(iv)       not be less than forty years as on 1st April, 1994

 

The case of a candidate who satisfies all the conditions except

(a)        at (ii) above but has obtained Ph.D in one of the lists in (i) and has at least five years work experience or three years teaching experience should be referred to Deputy Director (b)         at (iii) above but has more than seven years teaching experience should be referred to Director

(c)        at (iv) above but has working experience of at least five years in an American company may be selected

 

Based on the above conditions and the information provided in each of the questions below, decide the course of action in each case. You are not to assume anything. If the data provided is not adequate to decide the given course of action, you answer will be ‘Data inadequate’. These cases are given to you as on 1.4.1994.

 

Q18. Alok Desai as a Post-Graduate in Psychology and has been teaching in an Institute for the last five years and has coordinated such programmes in the past. He was 39 years old as on 10th March 1993

(a)        Refer to Director

(b)       Do not select

(c)        Data inadequate

(d)       Select

(e)       None of these

 

Q19. Samir Malkani is a Post-Graduate in Personnel Management and was born on 15th January, 1950. He has been working in a company for the last twelve years as personnel manager

(a)        Refer to Director

(b)       Refer to Dy. Director

(c)        Select

(d)       Do not select

(e)       None of these

 

Q20. Usha Sodani is a Ph.D. in Personnel Management and has been teaching in an institute for last ten years. She has worked as a guest speaker in a similar programme and was born on 26th August, 1951.

(a)        Refer to Director

(b)       Refer to Deputy Director

(c)        Do not select

(d)       Data inadequate

(e)       None of these

 

Q21. Sudha Malhotra is a Post-Graduate in Pshchology and has been teaching in an institute for the last fifteen years. She has not worked as guest speaker in similar programmes in the past.

(a)        Data inadequate

(b)       Select

(c)        Refer to Director

(d)       Do not select

(e)       None of these

 

Q22. Mrinal Kelkar is a Post-Graduate in Business Management and has been working as a Personnel Manager for the last twelve years. He has worked as guest speaker in similar programmes in the post, he will be 43 years old as on 5th-May, 1996

(a)        Refer to Deputy Director

(b)       Refer to Director

(c)        Do not select

(d)       Select

(e)       None of these

 

Q23. Proloy Saha is a Ph.D in Psychology and has been working in an organisation for the last six years as a personnel manager and has worked as a guest speaker in similar programmes in the past. His date of birth is 27.6.1952.

(a)      Refer to Director

(b)      Data inadequate

(c)      Select

(d)     Refer to Deputy Director

(e)     Do not select

 

Q24. Asha Sachdev is a Post-Graduate in Personnel Management and has been teaching in an institute for the last ten years. She has never worked as a guest speaker in similar programmes in the past. She was born on 19th October, 1948.

(a)        Data inadequate

(b)       Do not select

(c)        Refer to Director

(d)       Select

(e)       None of these

 

Q25-29. Five friends P, Q, R, S and T are travelling in a group

(i)        In the group, there is one tennis player, one cricket player and one chess player.

(ii)       P, the son of a doctor, earns more than tennis player.

(iii)      S is an unmarried lady.

(iv)       There is one married couple in the group of which Q is the husband.

(v)        T is the brother of R and is neither a chess player nor a cricket player.

(vi)       The cricket player earns the least money.

 

Q25. Which of the following is a group of male friends?

(a)        P, Q, R

(b)       Q, T, R

(c)        P, R, T

(d)       P, Q, T

 

Q26. Who is the cricket player?

(a)        P

(b)       Q

(c)        R

(d)       S

 

Q27. Who is the sister of R?

(a)        P

(b)       Q

(c)        S

(d)       T

 

Q28. Who is the chess player?

(a)        P

(b)       Q

(c)        R

(d)       S

 

Q29. Who is the wife of Q?

(a)        P

(b)       R

(c)        S

(d)       T

 

Q30 – 34. Given that

(i)        A, B, C, D, E, F and G are sitting in a row facing north.

(ii)       F is to be immediate right of E.

(iii)      E is fourth to the right of G.

(iv)       C is neighbour of B and D.

(v)        Person who is third to the left of D is at one of the ends.

 

Q30. What is the position of A?

(a)        Between E and D

(b)       To the extreme right

(c)        To the extreme left

(d)       Fifth of the right of G

 

Q31. What is the position of G?

(a)        To the extreme left

(b)       To the extreme right

(c)        Third from the left

(d)       Third from the right

 

Q32. Who is in the middle position?

(a)        B

(b)       C

(c)        D

(d)       F

 

Q33. Who are the neighbours of B?

(a)        C and D

(b)       G and F

(c)        C and G

(d)       F and G

 

Q34. Which of the following statements is definitely false?

(a)        G is to the immediate left of B

(b)       F is 2nd to the right of D

(c)        A is at one of the ends

(d)       E is to the immediate left of D

 

Q35-39. Given that

(i)        P, Q, R, S, T and U are travelling in a bus.

(ii)       There are two reporters, two technicians, one photographer and one writer in the group.

(iii)      The photographer P is married to S who is a reporter.

(iv)       The writer is married to Q who is of the same profession as that of U.

(v)        P, R, Q, S are two married couples and nobody in the group has same profession.

(vi)       U is brother of R

 

Q35. Which of the following is a pair of reporters?

(a)        ST

(b)       PQ

(c)        RT

(d)       SU

 

Q36. Which of the following is a pair of technicians?

(a)        PT

(b)       QU

(c)        SU

(d)       RS

 

Q37. Which of the following pairs is a couple?

(a)        QS

(b)       PT

(c)        QR

(d)       PQ

 

Q38. How is R is related to U?

(a)        Brother

(b)       Sister

(c)        Nephew

(d)       Cannot be definitely said

 

Q39. Which of the following is the profession of R?

(a)        Writer

(b)       Technician

(c)        Photographer

(d)       Reporter

 

Q40-43. There are six teachers C D, E and F in a school. Each of the six teachers teaches two subjects, one compulsory and the other an optional subject. D’s optional subject was history while three others have it as compulsory subjects. E and F have Physics as one of their subjects. F’s compulsory subject is mathematics which is an optional subject of both C and E. History and English are A’s subjects but in terms of compulsory-optional subjects they are just reverse of those of D’s. Chemistry is an optional subject of only one of them. The only female teacher in the school has English as her compulsory subject.

 

Q40. Who is the female member in the group?

(a)        A

(b)       B

(c)        C

(d)       D

 

Q41. What is C’s compulsory subject?

(a)        History

(b)       Physics

(c)        Maths

(d)       English

 

Q42. Which of the following groups has history as their compulsory subject?

(a)        A, C and D only

(b)       B, C and D only

(c)        C and D only

(d)       A, B, and C only

 

Q43. Which of the following have same compulsory optional subject as those of F’s?

(a)        A

(b)       C

(c)        D

(d)       None of these

 

Q44-48. A training college has to conduct a refresher course for teachers of seven different subjects-education, Psychology, Philosophy, Sociology, Economics, Science and Engineering from 22nd July to 29th July.

  • Course should start with psychology
  • 23rd July being Sunday should be holiday
  • Science subject should be on the previous day of the engineering subject.
  • Philosophy should be immediately after the holiday.
  • There should be a gap of one day between economics and engineering

 

Q44.    The refresher course will start with which one of the following subjects:

(a)    Psychology

(b)    Education

(c)     Philosophy

(d)    Economics

 

Q45.    Which subject will be on Tuesday?

(a)    Education

(b)    Engineering

(c)    Economics

(d)    Sociology

 

Q46.    Which subject precedes Education?

(a)        Sociology

(b)       Philosophy

(c)        Science

(d)       Engineering

 

Q47.    How many days gap is there in between Science and Philosophy?

(a)        One

(b)       Two

(c)        Three

(d)       No gap

 

Q48. Which subject does Science follow?

(a)        Engineering

(b)       Psychology

(c)        Philosophy

(d)       Economics