Jubilee Institute Admission Test · Mathematics and Analytical Logic

Analytical, Inductive and Deductive Reasoning

80 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 80 questions

  1. Consider the statement: 'If an animal is a falcon, then it has feathers.' Which of the following is logically equivalent to this conditional statement?
  2. Examine the letter sequence: B, E, I, N, T, ... What is the next letter in this sequence?
  3. Five students—Farah, Huda, Leen, Maya, and Nour—sat for an examination. Farah scored higher than Huda. Leen scored higher than Maya. Huda scored higher than Leen. Nour scored higher than Farah. Who sc…
  4. Examine the number series: 2, 6, 12, 20, 30, 42, ... What is the next number in this sequence?
  5. In a secret encryption code, the word 'SOLAR' is encoded as 'VRODU'. Using the exact same systematic letter-shift rule, how is the word 'LUNAR' encoded?
  6. All architects are designers. Some designers are painters. No painters are accountants. Based strictly on these premises, which of the following conclusions must logically follow?
  7. A clock shows 3:30. What is the smaller angle between the hour hand and the minute hand?
  8. Six people (U, V, W, X, Y, Z) sit in a straight row facing north. W is to the immediate right of V. X is between U and V. Y is at the extreme left end. Z is to the right of W. Who is sitting at the ex…
  9. If '+' means multiply, '-' means divide, 'x' means add, and '/' means subtract, what is the value of the arithmetic expression: 18 x 12 - 4 + 2 / 5?
  10. A cube is painted red on all six outer faces and then sliced into 64 smaller identical unit cubes. How many of these unit cubes have exactly two painted faces?
  11. Pointing to a photograph of a man, Tariq says: 'His mother is the only daughter of my maternal grandmother.' How is the man in the photograph related to Tariq?
  12. Identify the missing number that logically completes the grid row: [3, 9, 27], [4, 16, 64], [5, 25, ?]
  13. A father is currently four times as old as his son. In 20 years, the father will be twice as old as his son. What is the current age of the father?
  14. In a class of 45 students, 28 participate in science competitions, 21 participate in mathematics Olympiads, and 6 participate in neither. How many students participate in both science and mathematics…
  15. If today is Wednesday, what day of the week will it be precisely 100 days from today?
  16. Which word does NOT belong with the others: Octagon, Rhombus, Cylinder, Trapezoid?
  17. A scientist needs exactly 4 liters of water from a river but has only an unmarked 3-liter bucket and an unmarked 5-liter bucket. What is the minimum number of water-pouring or filling steps required t…
  18. Identify the missing term in the alphanumeric pattern: A1Z, C3X, E5V, G7T, ...?
  19. Four suspects—Ali, Bilal, Daoud, and Samer—are questioned. Exactly one of them is guilty, and exactly one of them is telling the truth.
    Ali says: 'Bilal is guilty.'
    Bilal says: 'Daoud is guilty.'
    Daou…
  20. If the code for 'APPLE' is 50 (sum of letter positions: 1+16+16+12+5 = 50), what is the numerical code for 'ORANGE' using the same alphabetical position summation rule?
  21. Statements:
    1. All roses are flowers.
    2. Some flowers fade quickly.
    Conclusion I: Some roses fade quickly.
    Conclusion II: No roses fade quickly.
    Which conclusion logically follows with certainty?
  22. A train 150 m long passes a telegraph pole on the platform in 9 seconds. How long will it take the same train traveling at the same speed to pass completely through a tunnel 450 m long?
  23. What is the next number in the Fibonacci-style sequence where each term after the second is the sum of the preceding two terms: 3, 4, 7, 11, 18, 29, ...?
  24. In a row of trees, a pine tree is the 7th tree from the left end and the 14th tree from the right end. How many trees are there in total in this row?
  25. A binary operation is defined on real numbers by a b = a b + 2 a - b. What is the value of 4 * 3?
  26. Three boxes are labeled 'Apples', 'Oranges', and 'Apples and Oranges'. Every single box is incorrectly labeled. You are permitted to draw exactly ONE fruit from ONE box without looking inside. From wh…
  27. On an island, person A says: 'B is a liar.' Person B says: 'A and I are the same type of person.' Every islander is either always truthful or always lying. What can be concluded?
  28. Consider the sequence 3, 8, 18, 38, 78, ... What is the next term?
  29. Using the digits 1, 2, 3, 4, 5 and 6 with no digit repeated, how many even four-digit numbers greater than 3000 can be formed?
  30. In a code, every letter is replaced by the letter 4 places later in the alphabet. How is NILE written in this code?
  31. Today is Tuesday. What day of the week will it be in 158 days?
  32. Sara is taller than Omar. Omar is taller than Ahmed. Laila is taller than Sara. Who is the shortest?
  33. At a meeting each of 13 people shakes hands exactly once with every other person. How many handshakes take place?
  34. A solid cube of side 6 is painted red on all faces and then cut into 216 unit cubes. How many unit cubes have one painted face?
  35. What is the sum of the digits of 5292?
  36. How many diagonals does a convex polygon with 12 sides have?
  37. In a code, every letter is replaced by the letter 2 places later in the alphabet. How is STONE written in this code?
  38. Today is Wednesday. What day of the week will it be in 110 days?
  39. What is the smaller angle between the hands of a clock at 1:50?
  40. Today is Saturday. What day of the week will it be in 63 days?
  41. Omar is taller than Laila. Youssef is taller than Sara. Ahmed is taller than Omar. Laila is taller than Youssef. Mona is taller than Ahmed. Who is the shortest?
  42. A solid cube of side 6 is painted red on all faces and then cut into 216 unit cubes. How many unit cubes have no painted faces?
  43. A solid cube of side 3 is painted red on all faces and then cut into 27 unit cubes. How many unit cubes have one painted face?
  44. Today is Saturday. What day of the week will it be in 125 days?
  45. Today is Saturday. What day of the week will it be in 102 days?
  46. Laila is taller than Sara. Omar is taller than Laila. Ahmed is taller than Omar. Who is the tallest?
  47. What is the units digit of ?
  48. Ahmed is taller than Laila. Youssef is taller than Omar. Mona is taller than Sara. Laila is taller than Youssef. Sara is taller than Ahmed. Who is the tallest?
  49. What is the units digit of ?
  50. What is the next number in the sequence 2, 6, 18, 54, 162, ...?
  51. Today is Friday. What day of the week will it be in 102 days?
  52. In a code, every letter is replaced by the letter 2 places later in the alphabet. How is CAIRO written in this code?
  53. At a meeting each of 12 people shakes hands exactly once with every other person. How many handshakes take place?
  54. Ahmed is taller than Omar. Sara is taller than Laila. Omar is taller than Sara. Who is the tallest?
  55. Today is Monday. What day of the week will it be in 166 days?
  56. Today is Thursday. What day of the week will it be in 41 days?
  57. What is the sum of the digits of 4473?
  58. What is the units digit of ?
  59. Today is Sunday. What day of the week will it be in 181 days?
  60. No flowers are plants, and all roses are flowers. Which conclusion must be true?
  61. Today is Sunday. What day of the week will it be in 76 days?
  62. Omar is taller than Sara. Mona is taller than Laila. Ahmed is taller than Mona. Youssef is taller than Ahmed. Sara is taller than Youssef. Who is the tallest?
  63. A solid cube of side 5 is painted red on all faces and then cut into 125 unit cubes. How many unit cubes have two painted faces?
  64. Today is Friday. What day of the week will it be in 83 days?
  65. What is the next number in the sequence 3, 6, 9, 15, 24, 39, ...?
  66. All pyramids are monuments, and all monuments are structures. Which conclusion must be true?
  67. The sum of three consecutive integers is 81. What is the largest of them?
  68. Today is Friday. What day of the week will it be in 144 days?
  69. What is the next number in the sequence 1, 2, 3, 5, 8, 13, ...?
  70. In a code, every letter is replaced by the letter 4 places later in the alphabet. How is STONE written in this code?
  71. What is the smaller angle between the hands of a clock at 9:10?
  72. Laila is taller than Sara. Ahmed is taller than Omar. Omar is taller than Laila. Who is the shortest?
  73. A solid cube of side 3 is painted red on all faces and then cut into 27 unit cubes. How many unit cubes have two painted faces?
  74. In a certain language, 'pit ka mol' means 'red big apple', 'mol tan' means 'apple tree' and 'ka sun' means 'big house'. Which word means 'red'?
  75. A is the brother of B. B is the daughter of C. D is the father of A. If C is a woman, how is C related to D?
  76. Consider the rule: 'Only students with a grade of A may join the science club.' Which statement must be true?
  77. Which number is the odd one out: 121, 144, 169, 196, 210?
  78. What letter comes next in the sequence Z, X, U, Q, ...?
  79. A drawer contains 10 red, 10 blue and 10 green socks. In the dark, what is the smallest number of socks you must take out to be sure of having a matching pair?
  80. How many squares of any size are there in a 3 by 3 grid of small squares?

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