NUMS — Medical & Dental Entry Test
Take the NUMS Logical Reasoning — Arrangements, Sequences and Patterns (Set 6): 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. Find the next number in the series: 3, 12, 33, 72, 135, ?
Answer: A. 228
Explanation: The terms are n³ + 2n for n = 1, 2, 3, ...: for n = 6 this is 216 + 12 = 228.
Q2. What is the next number in the series: 5, 8, 10, 16, 15, 32, 20, ?
Answer: C. 64
Explanation: Two series alternate: 5, 10, 15, 20 (add 5) and 8, 16, 32 (double). The next term continues the second: 64.
Q3. Find the next number in the series: 4, 6, 9, 14, 21, ?
Answer: A. 32
Explanation: The differences are consecutive primes 2, 3, 5, 7, 11, so the next difference is 11 and 21 + 11 = 32.
Q4. What comes next in the series: 3, 5, 8, 13, 22, ?
Answer: D. 39
Explanation: Each term is twice the previous term minus the step number: 22 × 2 - 5 = 39 (after 3×2-1 = 5, 5×2-2 = 8, 8×2-3 = 13, 13×2-4 = 22).
Q5. Find the next number in the series: 2, 3, 6, 18, 108, ?
Answer: A. 1944
Explanation: Each term is the product of the two terms before it: 18 × 108 = 1944.
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Q6. In the series 3, 7, 15, 31, 61, 127, one number is wrong. Which number should be replaced?
Q7. What is the next number in the series: 1, 3, 7, 13, 21, 31, ?
Q8. Find the next letter in the series: D, E, G, J, N, S, ?
Q9. Find the next group in the series: CE, FJ, IO, LT, ?
Q10. Find the next group in the series: AB, DC, EF, HG, ?
Q11. In a certain code, CLINIC is written as DNLRNI. In the same code, how is WARD written?
Q12. In a certain code, ROSE is written as ILHV. In the same code, how is PINK written?
Q13. In a certain code, each vowel is replaced by the next letter of the alphabet and each consonant by the previous letter. How is PULSE written in that code?
Q14. Find the odd one out: 144, 169, 196, 225, 250
Q15. Find the odd one out: 17, 23, 29, 33, 41
Q16. Find the odd one out: Femur, Humerus, Tibia, Aorta, Radius
Q17. What is the smaller angle between the hands of a clock at 7:24?
Q18. At what time between 5 and 6 o'clock do the hands of a clock coincide?
Q19. A clock reflected in a plane mirror appears to show 8:20. What is the actual time? (Assume the mirror shows an exact left-right reversal of a correctly marked clock face.)
Q20. Seven students sit on a bench in a row, left to right. Talha sits third from the left end and Waqar sits immediately to the right of Talha. Sidra and Zain sit at the two ends. Rubab sits immediately to the left of Yusra, and Uzma sits somewhere to the left of Talha. Who sits fifth from the left?
Q21. Five children of different heights are compared. Pervez is taller than Saad but shorter than Qadir. Rehan is taller than Pervez. Tariq is taller than Qadir but shorter than Rehan. Who is the second tallest?
Q22. Six friends sit around a circular table, all facing the centre. Hamid sits between Gul and Iqra. Junaid sits directly opposite Hamid. Khalida sits next to Junaid but not next to Gul. Lubna does not sit opposite Gul. Who sits directly opposite Iqra?
Q23. Six colleagues sit around a round table facing the centre. Aamir sits opposite Dilawar. Beenish sits next to both Aamir and Chand. Erum sits next to Dilawar but not next to Chand. Who sits opposite Farah?
Q24. The day after tomorrow is Friday. What day of the week was it five days before yesterday?
Q25. In a certain month the 20th falls two days before a Monday. On which day does the 1st of that month fall?
Q26. If the letters of the word SCALPEL are arranged in alphabetical order from left to right, which letter is third from the right end?
Q27. Find the missing number: 9 : 80 :: 14 : ?
Q28. Arrange the following events in the most logical order: 1. Diagnosis 2. Recovery 3. Symptoms 4. Treatment 5. Examination
Q29. How many squares of all sizes can be traced in a 4 × 4 grid made of 16 equal unit squares?
Q30. How many rectangles of all sizes (squares included) can be traced in a 3 × 3 grid made of 9 equal unit squares?