NUMS — Medical & Dental Entry Test

NUMS Logical Reasoning — Deductive Reasoning and Syllogisms (Set 1)

Take the NUMS Logical Reasoning — Deductive Reasoning and Syllogisms (Set 1): 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: All doctors are graduates. All graduates are literate. Conclusions: I. All doctors are literate. II. Some literate people are doctors. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow ✓
    • D. Neither conclusion follows

    Answer: C. Both conclusions I and II follow

    Explanation: Doctors ⊂ graduates ⊂ literate people, so all doctors are literate; since doctors exist and are literate, some literate people are doctors.

  2. Q2. Statements: Some nurses are singers. All singers are artists. Conclusions: I. Some nurses are artists. II. All artists are nurses. Which option is correct?

    • A. Only conclusion I follows ✓
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows

    Answer: A. Only conclusion I follows

    Explanation: The nurses who are singers are also artists, so I follows. Nothing says every artist is a nurse, so II does not follow.

  3. Q3. Statements: No pen is a pencil. All pencils are erasers. Conclusions: I. No pen is an eraser. II. Some erasers are not pens. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows ✓
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows

    Answer: B. Only conclusion II follows

    Explanation: The erasers that are pencils cannot be pens, so II follows. Pens may still be erasers in some other way, so I does not follow.

  4. Q4. Statements: All roses are flowers. Some flowers are red. Conclusions: I. Some roses are red. II. Some red things are flowers. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows ✓
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows

    Answer: B. Only conclusion II follows

    Explanation: II is the converse of 'Some flowers are red' and follows. The red flowers may not include any roses, so I does not follow.

  5. Q5. Statements: Some books are pens. Some pens are bags. Conclusions: I. Some books are bags. II. All bags are pens. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows ✓

    Answer: D. Neither conclusion follows

    Explanation: Two 'some' premises give no definite link between books and bags, and 'some pens are bags' does not mean every bag is a pen.

The other 25 questions

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  1. Q6. Statements: No cat is a dog. No dog is a cow. Conclusions: I. No cat is a cow. II. Some cows are not dogs. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows
  2. Q7. Statements: All tablets are medicines. No medicine is a toy. Conclusions: I. No tablet is a toy. II. Some medicines are tablets. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows
  3. Q8. Statements: Some surgeons are teachers. No teacher is lazy. Conclusions: I. Some surgeons are not lazy. II. Some lazy people are surgeons. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows
  4. Q9. Statements: All metals are elements. Some elements are gases. No gas is a solid. Conclusions: I. Some elements are not solids. II. No metal is a gas. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows
  5. Q10. Statements: All squares are rectangles. All rectangles are quadrilaterals. No triangle is a quadrilateral. Conclusions: I. No square is a triangle. II. Some quadrilaterals are squares. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows
  6. Q11. Statements: All lions are animals. Some animals are wild. Conclusions: I. All lions are wild. II. Some lions are wild. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows
  7. Q12. Statements: No fruit is a vegetable. Some vegetables are green. Conclusions: I. Some green things are not fruits. II. Some fruits are green. Which option is correct?

    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion follows
  8. Q13. If the statement 'No surgeon is careless' is true, which of the following must also be true?

    • A. All careful people are surgeons.
    • B. No careless person is a surgeon.
    • C. Some careless people are surgeons.
    • D. Some surgeons are careless.
  9. Q14. If it rains, the cricket match will be cancelled. The match was not cancelled. Which of the following must be true?

    • A. It did not rain.
    • B. The match was played indoors.
    • C. Nothing can be concluded about the rain.
    • D. It rained.
  10. Q15. Every patient with a fever in Ward 2 is given paracetamol. Ali, a patient in Ward 2, was given paracetamol. What can be concluded?

    • A. Ali definitely did not have a fever.
    • B. Ali may or may not have had a fever.
    • C. Ali definitely had a fever.
    • D. Ali had no illness other than fever.
  11. Q16. Which statement is logically equivalent to: 'If a number is divisible by 6, then it is divisible by 3'?

    • A. If a number is divisible by 3, then it is divisible by 6.
    • B. If a number is not divisible by 6, then it is not divisible by 3.
    • C. A number is divisible by 6 only if it is not divisible by 3.
    • D. If a number is not divisible by 3, then it is not divisible by 6.
  12. Q17. Only those candidates who clear the entry test are admitted to the medical college. Sara has been admitted to the college. Which must be true?

    • A. Everyone who cleared the test was admitted.
    • B. Sara cleared the entry test.
    • C. Sara topped the entry test.
    • D. Sara did not need to take the test.
  13. Q18. Clearing the interview is necessary but not sufficient for getting the job. Which of the following must be true?

    • A. Everyone who got the job cleared the interview.
    • B. Some people got the job without clearing the interview.
    • C. Everyone who cleared the interview got the job.
    • D. No one who cleared the interview got the job.
  14. Q19. A is taller than B. C is shorter than B. D is taller than A. Who is the second tallest?

    • A. B
    • B. C
    • C. A
    • D. D
  15. Q20. P scored more marks than Q. R scored fewer marks than P. S scored more marks than P. Which of the following must be true?

    • A. R scored the lowest marks.
    • B. Q scored more marks than R.
    • C. S scored more marks than R.
    • D. Q scored the lowest marks.
  16. Q21. Pointing to a young man, Hina said, "He is the son of my mother's only brother." How is the young man related to Hina?

    • A. Cousin
    • B. Brother
    • C. Uncle
    • D. Nephew
  17. Q22. Sana is the sister of Omar. Rubina is Omar's mother. Tariq is Rubina's father. How is Sana related to Tariq?

    • A. Niece
    • B. Daughter
    • C. Granddaughter
    • D. Grandmother
  18. Q23. Three students make statements. Ahmed: "Bilal is lying." Bilal: "Kamran is lying." Kamran: "Ahmed and Bilal are both lying." Each statement is either true or false. Who is telling the truth?

    • A. Only Ahmed
    • B. Only Bilal
    • C. Only Kamran
    • D. Ahmed and Kamran
  19. Q24. Every student who scored above 90% received a scholarship. Hamza did not receive a scholarship. Which conclusion is valid?

    • A. Hamza scored below 50%.
    • B. Hamza scored exactly 90%.
    • C. Hamza did not take the exam.
    • D. Hamza did not score above 90%.
  20. Q25. Some of the patients in Ward 3 are diabetic. All diabetic patients are kept on a special diet. Which of the following must be true?

    • A. No non-diabetic patient is on a special diet.
    • B. All patients in Ward 3 are on a special diet.
    • C. Everyone on a special diet is in Ward 3.
    • D. Some patients in Ward 3 are on a special diet.
  21. Q26. In a row of students, Ali is 7th from the top and 26th from the bottom. How many students are in the row?

    • A. 33
    • B. 32
    • C. 34
    • D. 31
  22. Q27. At least one of these is true: the pump is faulty or the valve is blocked. The engineer confirms that the valve is not blocked. What follows?

    • A. The pump is working.
    • B. Neither part is faulty.
    • C. The valve is faulty as well.
    • D. The pump is faulty.
  23. Q28. If the day before yesterday was Sunday, what day of the week will it be tomorrow?

    • A. Thursday
    • B. Wednesday
    • C. Monday
    • D. Tuesday
  24. Q29. All members of the debating club are in Grade 12. No one in Grade 12 is younger than 16. Which conclusion is valid?

    • A. Some Grade 12 students are younger than 16.
    • B. No member of the debating club is younger than 16.
    • C. All students aged 16 are in the debating club.
    • D. Every Grade 12 student is in the debating club.
  25. Q30. Sajid walks 5 km north, turns right and walks 3 km, then turns right again and walks 5 km. How far and in which direction is he from his starting point?

    • A. 3 km east
    • B. 5 km south
    • C. 13 km east
    • D. 3 km west