NUMS — Medical & Dental Entry Test

NUMS Logical Reasoning — Deductive Reasoning and Syllogisms (Set 5)

Take the NUMS Logical Reasoning — Deductive Reasoning and Syllogisms (Set 5): 30 multiple-choice questions (40 minutes) with instant scoring and a full…

What this test covers

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

  1. Q1. Statements: I. All Poets are Writers. II. Some Writers are Artists. Conclusions: I. Some Poets are Artists. II. Some Artists are Writers. Assume every group named is non-empty. Which option is correct?

    • A. Only conclusion II follows ✓
    • B. Neither conclusion I nor II follows
    • C. Both conclusions I and II follow
    • D. Only conclusion I follows

    Answer: A. Only conclusion II follows

    Explanation: Conclusion II just reverses statement II, so it follows. Conclusion I does not: the artists who are writers may be non-poets, so no poet need be an artist.

  2. Q2. Statements: I. No Insects are Spiders. II. All Bees are Insects. Conclusions: I. No Spiders are Bees. II. Some Spiders are not Bees. Assume every group named is non-empty. Which option is correct?

    • A. Neither conclusion I nor II follows
    • B. Only conclusion I follows
    • C. Only conclusion II follows
    • D. Both conclusions I and II follow ✓

    Answer: D. Both conclusions I and II follow

    Explanation: Bees lie inside insects and insects are wholly outside spiders, so no spider is a bee; and since spiders exist, some spiders are certainly not bees. Both follow.

  3. Q3. Statements: I. Some Tutors are Scholars. II. No Scholars are Clerks. Conclusions: I. Some Tutors are not Clerks. II. Some Clerks are not Tutors. Assume every group named is non-empty. Which option is correct?

    • A. Neither conclusion I nor II follows
    • B. Both conclusions I and II follow
    • C. Only conclusion I follows ✓
    • D. Only conclusion II follows

    Answer: C. Only conclusion I follows

    Explanation: The tutors who are scholars cannot be clerks, so some tutors are not clerks (I follows). Clerks may all be tutors, so II does not follow.

  4. Q4. Statements: I. All Rivers are Streams. II. All Canals are Streams. Conclusions: I. Some Rivers are Canals. II. All Rivers are Canals. Assume every group named is non-empty. Which option is correct?

    • A. Both conclusions I and II follow
    • B. Neither conclusion I nor II follows ✓
    • C. Only conclusion I follows
    • D. Only conclusion II follows

    Answer: B. Neither conclusion I nor II follows

    Explanation: Two sets inside a third need not overlap: rivers and canals could be separate parts of streams. Neither conclusion is forced.

  5. Q5. Statements: I. Some Tablets are not Drugs. II. All Syrups are Drugs. Conclusions: I. Some Tablets are not Syrups. II. No Tablets are Syrups. Assume every group named is non-empty. Which option is correct?

    • A. Neither conclusion I nor II follows
    • B. Only conclusion I follows ✓
    • C. Both conclusions I and II follow
    • D. Only conclusion II follows

    Answer: B. Only conclusion I follows

    Explanation: Some tablets lie outside drugs, and all syrups lie inside drugs, so those tablets cannot be syrups: I follows. II is too strong; other tablets may be syrups.

The other 25 questions

Take the timed test (free, no sign-up) to see your score and the answer and explanation for every question.

  1. Q6. Statements: I. All Whales are Mammals. II. No Mammals are Fish. Assume every group named is non-empty. Which conclusion definitely follows?

    • A. No Whales are Fish
    • B. All Fish are Whales
    • C. Some Mammals are not Whales
    • D. Some Whales are Fish
  2. Q7. Statements: I. Some Judges are Lawyers. II. All Lawyers are Clerks. Assume every group named is non-empty. Which conclusion definitely follows?

    • A. No Judges are Clerks
    • B. Some Judges are Clerks
    • C. All Judges are Clerks
    • D. Some Clerks are not Judges
  3. Q8. No student can enter the examination hall without an admit card. Zain entered the examination hall. Which statement must be true?

    • A. Zain is a first-year student
    • B. Zain was granted a special permission
    • C. Zain arrived before the other students
    • D. Zain has an admit card
  4. Q9. All students who score above 90% in the mock test receive a scholarship. Imran received a scholarship. Which statement is certainly true?

    • A. Imran scored below 90% in the mock test
    • B. Imran scored above 90% in the mock test
    • C. Nothing definite can be said about Imran's mock score
    • D. Imran scored exactly 90% in the mock test
  5. Q10. If it rains on match day, the match is cancelled. If the match is cancelled, all tickets are refunded. The tickets were not refunded. Which must be true?

    • A. It did not rain on match day
    • B. It rained on match day but the match went ahead
    • C. The match was played in the rain
    • D. The match was cancelled
  6. Q11. A candidate gets the seat only if she passes the interview. Fatima did not pass the interview. Which statement must be true?

    • A. Fatima got the seat on another basis
    • B. Fatima did not get the seat
    • C. Fatima may or may not have got the seat
    • D. Fatima got the seat after a second interview
  7. Q12. The clinic will not open unless the doctor arrives. The clinic opened this morning. Which must be true?

    • A. The doctor did not arrive this morning
    • B. The nurse opened the clinic without the doctor
    • C. The doctor arrived late this morning
    • D. The doctor arrived this morning
  8. Q13. Passing the written test is necessary, but not sufficient, for admission to the programme. Sana was admitted. Another candidate, Rabia, passed the written test. Which statement must be true?

    • A. Rabia was not admitted
    • B. Sana failed the written test
    • C. Sana passed the written test
    • D. Rabia was admitted
  9. Q14. Which statement is the exact negation of 'Every student in the class passed the test'?

    • A. No student in the class passed the test
    • B. Every student in the class failed the test
    • C. At least one student in the class did not pass the test
    • D. At least one student in the class passed the test
  10. Q15. Which statement is the exact negation of 'If it is Friday, the clinic is closed'?

    • A. It is not Friday and the clinic is closed
    • B. If it is not Friday, the clinic is open
    • C. It is Friday and the clinic is open
    • D. If the clinic is open, it is not Friday
  11. Q16. Which statement is the exact negation of 'Some surgeons are vegetarian'?

    • A. No surgeon is vegetarian
    • B. Some surgeons are not vegetarian
    • C. Not every surgeon is a non-vegetarian
    • D. All surgeons are vegetarian
  12. Q17. Five runners P, Q, R, S and T finished a race one after another with no ties. Q finished immediately before T. T finished before P. R finished before Q. S finished after P. Who finished third?

    • A. T
    • B. Q
    • C. P
    • D. R
  13. Q18. Five cousins A, B, C, D and E differ in age and no two are the same age. C is older than A. B is younger than D. E is the very next older person after B in the age order. A is older than D. Who is the second oldest?

    • A. C
    • B. E
    • C. D
    • D. A
  14. Q19. A key went missing and exactly one of four interns A, B, C and D took it. Exactly one of these four statements is true. A: "D took the key." B: "A took the key." C: "I did not take the key." D: "I did not take the key." Who took the key?

    • A. D
    • B. A
    • C. C
    • D. B
  15. Q20. Three people A, B and C each either always tell the truth or always lie. A says: "B is a liar." B says: "C is a liar." C says: "A and B are both liars." Who is the only truth-teller?

    • A. B
    • B. C
    • C. A
    • D. Nobody; all three are liars
  16. Q21. Pointing to a girl, Imran said, "Her father is the only son of my father." How is the girl related to Imran?

    • A. Niece
    • B. Daughter
    • C. Sister
    • D. Cousin
  17. Q22. Zubair points to a woman and says, "She is the wife of the son of my mother's mother." How is the woman related to Zubair?

    • A. Wife of his maternal uncle
    • B. Wife of his paternal uncle
    • C. Sister of his mother
    • D. Sister of his father
  18. Q23. Rida walks 12 m east, turns left and walks 10 m, turns left again and walks 20 m, then turns right and walks 5 m. How far is she from her starting point?

    • A. 17 m
    • B. 15 m
    • C. 13 m
    • D. 23 m
  19. Q24. One morning just after sunrise, Rafay stood facing a tall pole. The shadow of the pole fell to his right. Which direction was Rafay facing?

    • A. East
    • B. South
    • C. North
    • D. West
  20. Q25. Facing east, Shazia turns 135° anticlockwise and then 90° clockwise. In which direction is she facing now?

    • A. North-west
    • B. North-east
    • C. North
    • D. South-east
  21. Q26. If 5 March 2021 was a Friday, on which day of the week did 5 March 2024 fall?

    • A. Wednesday
    • B. Thursday
    • C. Monday
    • D. Tuesday
  22. Q27. A month has 30 days and begins on a Saturday. How many Sundays does it contain?

    • A. 3
    • B. 5
    • C. 4
    • D. 6
  23. Q28. The 17th of a 31-day month is a Thursday. On which day of the week does the 2nd of the following month fall?

    • A. Monday
    • B. Saturday
    • C. Friday
    • D. Sunday
  24. Q29. In a survey of 120 people, 70 drink tea, 60 drink coffee and 30 drink both. How many people drink exactly one of the two?

    • A. 70
    • B. 100
    • C. 40
    • D. 90
  25. Q30. In a queue, Ayesha is 12th from the front and 20th from the back. How many people are in the queue?

    • A. 33
    • B. 31
    • C. 30
    • D. 32