NUMS — Medical & Dental Entry Test
Take the NUMS Logical Reasoning — Deductive Reasoning and Syllogisms (Set 2): 30 multiple-choice questions (40 minutes) with instant scoring and a full…
What this test covers
The first 5 questions of this test, with the correct answer and explanation.
Q1. Statements: Some tablets are capsules. No capsule is a syrup. Conclusions: I. Some tablets are not syrups. II. No tablet is a syrup. Which option is correct?
Answer: A. Only conclusion I follows
Explanation: The tablets that are capsules cannot be syrups, so some tablets are not syrups. Nothing is said about the other tablets, so 'No tablet is a syrup' is not certain.
Q2. Statements: All engineers are mathematicians. No mathematician is careless. Conclusions: I. No engineer is careless. II. Some careless people are not engineers. Which option is correct?
Answer: C. Both conclusions I and II follow
Explanation: Engineers lie inside mathematicians, who share nothing with careless people, so no engineer is careless; hence every careless person is a non-engineer, so some careless people are not engineers.
Q3. Statements: Some birds are pets. Some pets are cats. Conclusions: I. Some birds are cats. II. Some cats are pets. Which option is correct?
Answer: B. Only conclusion II follows
Explanation: Two 'some' premises give no link between birds and cats. 'Some pets are cats' converts directly to 'Some cats are pets', so only II follows.
Q4. Statements: All kings are rulers. Some rulers are poets. No poet is rich. Conclusions: I. Some rulers are not rich. II. No king is rich. Which option is correct?
Answer: A. Only conclusion I follows
Explanation: The rulers who are poets cannot be rich, so some rulers are not rich. The kings need not be among those poets, so nothing certain follows about kings being rich.
Q5. Statements: No apple is a banana. All bananas are fruits. Conclusions: I. Some fruits are not apples. II. No apple is a fruit. Which option is correct?
Answer: A. Only conclusion I follows
Explanation: The fruits that are bananas are not apples, so some fruits are not apples. Apples may still be fruits outside the banana group, so II does not follow.
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Q6. Statements: All clerks are typists. Some clerks are singers. Conclusions: I. Some typists are singers. II. All singers are typists. Which option is correct?
Q7. Statements: Some teachers are writers. All writers are readers. No reader is idle. Conclusions: I. Some teachers are not idle. II. No writer is idle. Which option is correct?
Q8. Statements: All chairs are tables. All tables are desks. Some desks are boxes. Conclusions: I. Some chairs are boxes. II. All chairs are desks. Which option is correct?
Q9. Statements: No student is a worker. Some workers are parents. Conclusions: I. Some parents are not students. II. Some students are parents. Which option is correct?
Q10. Statements: All lawyers are speakers. No speaker is shy. Some shy people are writers. Conclusions: I. Some writers are not lawyers. II. No lawyer is a writer. Which option is correct?
Q11. If the statement 'All antibiotics are prescription drugs' is true, which of the following must also be true?
Q12. Which statement is logically equivalent to: 'If the fire alarm sounds, everyone leaves the building'?
Q13. If Saad studies regularly, he will pass the test. If he passes the test, he will get admission. Saad did not get admission. Which of the following must be true?
Q14. A patient is discharged from the ward only if his temperature is normal. Ahmed's temperature is normal today. Which conclusion is valid?
Q15. Unless the fee is paid, the admit card will not be issued. Kiran has received her admit card. Which must be true?
Q16. A student gets a merit certificate if and only if she scores above 85%. Rida did not get a merit certificate. Which must be true?
Q17. Which statement is the logical negation of 'All the blood samples were tested'?
Q18. Five parcels P, Q, R, S and T have different weights. P is heavier than Q. R is lighter than Q. S is heavier than P. T is lighter than R. Which parcel is the lightest?
Q19. In a test, A scored more than B and more than C. D scored more than A. C scored more than E. No two scores are equal. Which of the following must be true?
Q20. Pointing to a woman in a photograph, Faisal, a young man, says, "Her father is the only son of my mother." How is the woman related to Faisal?
Q21. In a code, P + Q means P is the father of Q; P − Q means P is the sister of Q; P × Q means P is the mother of Q. What does A × B + C − D tell us about A?
Q22. One of four suspects W, X, Y and Z broke a laboratory microscope. W says, "X did it." X says, "Z did it." Y says, "I did not do it." Z says, "X is lying." Exactly one of the four statements is true. Who broke the microscope?
Q23. On an island, truth-tellers always tell the truth and liars always lie. A says, "B and I are both liars." What are A and B?
Q24. Nadia walks 4 km east, turns left and walks 3 km, then turns left again and walks 8 km. How far and in which direction is she from her starting point?
Q25. A man is facing south. He turns 90° clockwise and then 135° anticlockwise. Which direction is he facing now?
Q26. If 15 August of a year falls on a Friday, on which day of the week does 15 September of the same year fall?
Q27. In a row of 35 students, Asad is 10th from the left and Bilal is 15th from the right. How many students sit between Asad and Bilal?
Q28. Either the blood sample was contaminated or the test kit was faulty, but not both. The test kit has been found to be faulty. What follows?
Q29. No resident of Hostel B owns a car. Some first-year students own cars. Which of the following must be true?
Q30. A prize is hidden in one of three boxes. Box 1 says, "The prize is in this box." Box 2 says, "The prize is not in this box." Box 3 says, "The prize is not in Box 1." Only one of the three labels is true. Where is the prize?