NUMS — Medical & Dental Entry Test

NUMS Logical Reasoning — Deductive Reasoning and Syllogisms (Set 4)

Take the NUMS Logical Reasoning — Deductive Reasoning and Syllogisms (Set 4): 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 doctors are surgeons. II. No teachers are surgeons. Conclusions: I. Some teachers are not doctors. II. All teachers are doctors. 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 II follows
    • D. Only conclusion I follows ✓

    Answer: D. Only conclusion I follows

    Explanation: Conclusion I ('Some teachers are not doctors') is true in every arrangement that satisfies both statements, so it follows. Conclusion II ('All teachers are doctors') does not follow: it fails in an arrangement where the occupied regions are: doctors and surgeons but not teachers; teachers but not doctors or surgeons.

  2. Q2. Statements: I. All capsules are tablets. II. All medicines are capsules. Conclusions: I. All tablets are medicines. II. All medicines are tablets. Assume every group named is non-empty. Which option is correct?

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

    Answer: C. Only conclusion II follows

    Explanation: Conclusion I ('All tablets are medicines') does not follow: it fails in an arrangement where the occupied regions are: tablets but not capsules or medicines; tablets and capsules and medicines. Conclusion II ('All medicines are tablets') is true in every arrangement that satisfies both statements, so it follows.

  3. Q3. Statements: I. No nurses are women. II. All athletes are women. Conclusions: I. No nurses are athletes. II. No athletes are nurses. Assume every group named is non-empty. Which option is correct?

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

    Answer: A. Both conclusions I and II follow

    Explanation: Conclusion I ('No nurses are athletes') is true in every arrangement that satisfies both statements, so it follows. Conclusion II ('No athletes are nurses') is true in every arrangement that satisfies both statements, so it follows.

  4. Q4. Statements: I. Some scientists are not poets. II. All scientists are writers. Conclusions: I. No writers are poets. II. Some writers are poets. 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: A. Neither conclusion I nor II follows

    Explanation: Conclusion I ('No writers are poets') does not follow: it fails in an arrangement where the occupied regions are: poets and writers but not scientists; scientists and writers but not poets. Conclusion II ('Some writers are poets') does not follow: it fails in an arrangement where the occupied regions are: poets but not scientists or writers; scientists and writers but not poets.

  5. Q5. Statements: I. Some roses are flowers. II. All plants are flowers. Conclusions: I. Some roses are not plants. II. No roses are plants. 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: B. Neither conclusion I nor II follows

    Explanation: Conclusion I ('Some roses are not plants') does not follow: it fails in an arrangement where the occupied regions are: roses and flowers and plants. Conclusion II ('No roses are plants') does not follow: it fails in an arrangement where the occupied regions are: roses and flowers and plants.

The other 25 questions

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  1. Q6. Statements: I. No cats are animals. II. All birds are animals. Conclusions: I. Some cats are not birds. II. Some birds are not cats. Assume every group named is non-empty. Which option is correct?

    • A. Only conclusion II follows
    • B. Only conclusion I follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion I nor II follows
  2. Q7. Statements: I. No pencils are pens. II. All erasers are pencils. Conclusions: I. Some erasers are pens. II. Some erasers are not pens. 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 II follows
    • D. Only conclusion I follows
  3. Q8. Statements: I. All artists are engineers. II. All cricketers are artists. Conclusions: I. Some cricketers are engineers. II. No cricketers are engineers. Assume every group named is non-empty. Which option is correct?

    • A. Only conclusion I follows
    • B. Neither conclusion I nor II follows
    • C. Only conclusion II follows
    • D. Both conclusions I and II follow
  4. Q9. Statements: I. No magazines are books. II. All journals are magazines. Conclusions: I. Some books are not journals. II. No books are journals. Assume every group named is non-empty. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Neither conclusion I nor II follows
    • D. Both conclusions I and II follow
  5. Q10. Statements: I. No lakes are rivers. II. No lakes are oceans. Conclusions: I. Some oceans are not rivers. II. No oceans are rivers. Assume every group named is non-empty. Which option is correct?

    • A. Only conclusion I follows
    • B. Both conclusions I and II follow
    • C. Neither conclusion I nor II follows
    • D. Only conclusion II follows
  6. Q11. Statements: I. Some students are graduates. II. No graduates are workers. Conclusions: I. All students are workers. II. Some students are not workers. Assume every group named is non-empty. Which option is correct?

    • A. Both conclusions I and II follow
    • B. Only conclusion II follows
    • C. Neither conclusion I nor II follows
    • D. Only conclusion I follows
  7. Q12. Statements: I. All trains are buses. II. All trains are vehicles. Conclusions: I. Some vehicles are buses. II. Some buses are not vehicles. Assume every group named is non-empty. Which option is correct?

    • A. Both conclusions I and II follow
    • B. Only conclusion II follows
    • C. Neither conclusion I nor II follows
    • D. Only conclusion I follows
  8. Q13. If a drug is approved by the regulatory authority, then it can be legally sold in pharmacies. Drug Q cannot be legally sold in pharmacies. Which conclusion must be true?

    • A. Drug Q will be approved soon
    • B. Drug Q has been approved but is not stocked
    • C. Drug Q has not been approved by the regulatory authority
    • D. Drug Q is approved only for hospitals
  9. Q14. Every patient with dengue has fever. Hamza has fever. Which statement is certainly true?

    • A. Hamza may or may not have dengue
    • B. Hamza does not have dengue
    • C. Hamza has dengue
    • D. Hamza has dengue only if he also has a rash
  10. Q15. Only students who have passed Anatomy are allowed to sit the Physiology viva. Zara is allowed to sit the viva. Faiza has passed Anatomy. Which statement must be true?

    • A. Faiza is allowed to sit the viva
    • B. Both Zara and Faiza are allowed to sit the viva
    • C. Zara has passed Anatomy
    • D. Zara has failed Anatomy
  11. Q16. The patient will not recover unless he completes the full course of antibiotics. The patient did recover. Which must be true?

    • A. He recovered because he took no other medicine
    • B. Completing the course guarantees recovery for every patient
    • C. He skipped some doses and still recovered
    • D. He completed the full course of antibiotics
  12. Q17. Six friends A, B, C, D, E and F are compared by height. C is taller than D. A is taller than B. A is taller than E. F is taller than A and no one stands between them in height order. F is shorter than D but taller than E. Who is the third tallest of the six?

    • A. B
    • B. D
    • C. F
    • D. A
  13. Q18. Six friends A, B, C, D, E and F are compared by height. E is shorter than F but taller than B. A is taller than B. D is shorter than E but taller than B. D is shorter than A but taller than C. Who is the fourth tallest of the six?

    • A. D
    • B. B
    • C. C
    • D. A
  14. Q19. Sana ranks 17th from the top in a class of 52 students. What is her rank from the bottom?

    • A. 35th
    • B. 36th
    • C. 34th
    • D. 37th
  15. Q20. A lab beaker was broken by exactly one of four interns. Aamir says: "Babar broke it." Babar says: "Chand broke it." Chand says: "Babar is lying." Dawood says: "I did not break it." Exactly one of the four statements is true. Who broke the beaker?

    • A. Aamir
    • B. Babar
    • C. Dawood
    • D. Chand
  16. Q21. Pointing to a man, Sara said, "His mother is the only daughter of my mother's mother." How is the man related to Sara?

    • A. Brother
    • B. Cousin
    • C. Maternal uncle
    • D. Son
  17. Q22. Looking at a photograph, Dr Kamran said, "She is the daughter of my wife's only sister." How is the girl related to Dr Kamran?

    • A. Cousin
    • B. Daughter-in-law
    • C. Sister
    • D. Niece
  18. Q23. A man starts walking from his house towards the south and covers 16 m. He turns right and walks 12 m, then turns right again and walks 7 m. How far is he from the house and in which direction?

    • A. 20 m, south-west
    • B. 15 m, north-west
    • C. 15 m, south-west
    • D. 13 m, south-east
  19. Q24. Bilal walks 5 km west from his hostel, turns left and walks 8 km, turns left again and walks 11 km, then turns left once more and walks 8 km. How far and in which direction is he from the hostel?

    • A. 6 km east
    • B. 6 km west
    • C. 16 km east
    • D. 8 km north
  20. Q25. If 1 January 2024 was a Monday, on which day of the week will 1 January 2026 fall?

    • A. Wednesday
    • B. Friday
    • C. Thursday
    • D. Tuesday
  21. Q26. In a certain non-leap year, 1 March fell on a Tuesday. On which day of the week did 25 December of that year fall?

    • A. Monday
    • B. Sunday
    • C. Friday
    • D. Saturday
  22. Q27. In a ward of 60 patients, 38 have fever, 27 have cough and 10 have neither symptom. How many patients have both fever and cough?

    • A. 11
    • B. 21
    • C. 15
    • D. 17
  23. Q28. Of 100 students, 65 like Biology and 55 like Chemistry. What is the minimum number of students who must like both subjects?

    • A. 55
    • B. 20
    • C. 30
    • D. 10
  24. Q29. At least one of Ali, Bilal and Chand passed the viva. Ali did not pass, and it is known that if Bilal did not pass then Chand did. Which statement is certainly true?

    • A. Bilal passed
    • B. Chand passed
    • C. If Bilal failed, then Chand passed
    • D. Both Bilal and Chand passed
  25. Q30. Statement: "Not all antibiotics are effective against viruses." Which conclusion follows?

    • A. All antibiotics are harmful to viruses
    • B. No antibiotic is effective against viruses
    • C. Some antibiotics are not effective against viruses
    • D. Some antibiotics are effective against viruses