Uzbekistan Presidential Schools Admission Test · Critical Thinking and Logic

Patterns and Logic Puzzles

64 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 64 questions

  1. What comes next: 3, 6, 12, 24, ?
  2. What comes next: 2, 5, 8, 11, ?
  3. What comes next: 1, 4, 9, 16, 25, ?
  4. What comes next: 2, 3, 5, 8, 12, ?
  5. What comes next: A, C, F, J, ?
  6. Five friends each shake hands once with every other friend. How many handshakes are there?
  7. What comes next: 2, 6, 12, 20, 30, ?
  8. What is the smaller angle between the hands of a clock at 3:30?
  9. Today is Thursday. What day of the week will it be in 100 days?
  10. You have a 3-litre jug and a 5-litre jug. Fill the 5-litre jug, pour into the 3-litre jug until full, empty the 3-litre jug, pour the rest across, refill the 5-litre jug and fill the small jug. How mu…
  11. Which number does not belong: 16, 25, 36, 48, 49?
  12. In a code, CAT is written 3-1-20 using letter positions. How is DOG written?
  13. If A = 1, B = 2, C = 3 and so on, what is the value of A + C + E?
  14. Dana is ahead of Eldor in a queue, Eldor is ahead of Farid, and Gulya stands between Dana and Eldor. Who is third in the queue?
  15. A snail climbs 3 m each day and slips back 2 m each night. On which day does it first reach the top of a 10 m wall?
  16. What comes next: 7, 14, 28, 56, ?
  17. What comes next: 100, 91, 82, 73, ?
  18. Three consecutive whole numbers add up to 72. What is the largest?
  19. There are eight identical-looking coins and one is heavier. What is the smallest number of weighings on a balance scale that always finds it?
  20. What is the smaller angle between the hands of a clock at half past 5?
  21. If 8 machines make 8 items in 5 minutes, how many minutes do 100 machines need to make 100 items?
  22. What is the sum of all whole numbers from 1 to 40?
  23. Aziz is heavier than Jasur. Rustam is heavier than Aziz. Who is the heaviest?
  24. Today is Monday. What day of the week will it be in 50 days?
  25. In a code each letter is replaced by the letter 3 places later in the alphabet (A becomes D). What is the code for SUN?
  26. All insects have six legs. An object has the same property. Which statement is correct?
  27. Which number does not belong with the others: 6, 15, 4, 14, 16?
  28. How many squares of all sizes are there in a 2 × 2 grid of small squares?
  29. If 4 machines make 4 items in 4 minutes, how many minutes do 200 machines need to make 200 items?
  30. What comes next in the sequence 12, 14, 16, 18, 20, ...?
  31. Sardor is faster than Otabek. Madina is faster than Sardor. Who is the fastest?
  32. Today is Monday. What day of the week will it be in 10 days?
  33. In a code each letter is replaced by the letter 2 places later in the alphabet (A becomes C). What is the code for BOX?
  34. At a meeting, each of 15 people shakes hands once with each of the others. How many handshakes are there?
  35. Nodira is 4 times as old as Aziz. In 8 years Nodira will be 2 times as old as Aziz. How old is Aziz now?
  36. All mammals are warm-blooded. A whale is a mammal. Which conclusion must be true?
  37. Which number does not belong with the others: 21, 5, 6, 18, 3?
  38. If 3 machines make 3 items in 4 minutes, how many minutes do 50 machines need to make 50 items?
  39. Rustam is heavier than Otabek. Jasur is heavier than Rustam. Who is the lightest?
  40. Today is Saturday. What day of the week will it be in 15 days?
  41. In a code each letter is replaced by the letter 2 places later in the alphabet (A becomes C). What is the code for SUN?
  42. At a meeting, each of 8 people shakes hands once with each of the others. How many handshakes are there?
  43. Some flowers are red. All red things are expensive. Which conclusion must be true?
  44. Which number is not a perfect square: 72, 25, 36, 100, 16?
  45. What is the smaller angle between the hands of a clock at half past 8?
  46. If 8 machines make 8 items in 5 minutes, how many minutes do 50 machines need to make 50 items?
  47. Jasur is heavier than Bobur. Bobur is heavier than Madina. Who is the heaviest?
  48. Today is Wednesday. What day of the week will it be in 30 days?
  49. All fruits contain seeds. A pomegranate is a fruit. Which conclusion must be true?
  50. Which number is not a perfect square: 1, 49, 46, 4, 25?
  51. How many squares of all sizes are there in a 4 × 4 grid of small squares?
  52. What comes next in the sequence 3, 100, 6, 97, 9, 94, ...?
  53. Bobur is faster than Madina. Madina is faster than Malika. Who is the slowest?
  54. Today is Friday. What day of the week will it be in 365 days?
  55. At a meeting, each of 10 people shakes hands once with each of the others. How many handshakes are there?
  56. Malika is 4 times as old as Otabek. In 8 years Malika will be 2 times as old as Otabek. How old is Otabek now?
  57. All planets orbit a star. An object has the same property. Which statement is correct?
  58. Which number is not a perfect square: 9, 6, 4, 100, 1?
  59. What is the smaller angle between the hands of a clock at 4 o'clock?
  60. In the sequence 2, 1, 3, 4, 7, ... each term is the sum of the two before it. What comes next?
  61. Timur is faster than Dilnoza. Sardor is faster than Timur. Dilnoza is faster than Zarina. Who is the slowest?
  62. Today is Sunday. What day of the week will it be in 45 days?
  63. In a code each letter is replaced by the letter 2 places later in the alphabet (A becomes C). What is the code for CUP?
  64. Timur is 4 times as old as Dilnoza. In 7 years Timur will be 3 times as old as Dilnoza. How old is Dilnoza now?

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