Logical Reasoning Test Practice Course: Inductive patterns in words and tables

1. Question 1 of 16

   A row of lights repeats the pattern red, blue, blue, green. What colour is the 37th light?

   • ARed
   • BGreen
   • CBlue
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   Answer: A. Red

   The pattern repeats every 4 lights. 37 ÷ 4 = 9 remainder 1, so the 37th light is the 1st colour in the pattern: red.

2. Question 2 of 16

   A rule turns 2 into 7, 5 into 16, and 10 into 31. What does the same rule turn 7 into?

   • A21
   • B14
   • C25
   • D22
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   Answer: D. 22

   The rule is "multiply by 3, then add 1": 2 × 3 + 1 = 7, 5 × 3 + 1 = 16. So 7 × 3 + 1 = 22.

3. Question 3 of 16

   In the table, each row follows the same rule. What number replaces the question mark?

   First	Second	Third
   4	6	10
   7	8	15
   9	5	?

   • A13
   • B4
   • C14
   • D45
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   Answer: C. 14

   In each row, the third number is the sum of the first two: 4 + 6 = 10, 7 + 8 = 15. So 9 + 5 = 14.

4. Question 4 of 16

   In the table, column C is worked out from columns A and B in the same way in every row. What number replaces the question mark?

   A	B	C
   3	4	12
   5	6	30
   2	9	?

   • A7
   • B27
   • C18
   • D11
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   Answer: C. 18

   In each row, the third number is the first times the second: 3 × 4 = 12, 5 × 6 = 30. So 2 × 9 = 18.

5. Question 5 of 16

   Each row of the table follows the same rule. What number replaces the question mark?

   Number	Next	Last
   2	4	8
   3	9	27
   5	?	125

   • A10
   • B15
   • C50
   • D25
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   Answer: D. 25

   Each row shows a number, its square and its cube: 2, 4, 8 and 3, 9, 27. For 5: 5 × 5 = 25 and 25 × 5 = 125.

6. Question 6 of 16

   A 3 × 3 grid is described row by row. Row 1: 1 circle, 2 circles, 3 circles. Row 2: 2 squares, 3 squares, 4 squares. Row 3: 3 triangles, 4 triangles, ?. What belongs in the missing cell?

   • A6 triangles
   • B4 circles
   • C5 triangles
   • D5 squares
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   Answer: C. 5 triangles

   Each row keeps one shape and adds one more shape per cell. Each row also starts one higher than the row above. Row 3 runs 3, 4, 5 triangles.

7. Question 7 of 16

   In this grid, each row and each column contains the letters A, B and C once. Which letter replaces the question mark?

   Column 1	Column 2	Column 3
   A	B	C
   C	A	B
   B	?	A

   • AC
   • BA
   • CB
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   Answer: A. C

   Row 3 already has B and A, so it needs C. The middle column (B, A, ?) also needs C.

8. Question 8 of 16

   A system makes codes like this: CAT becomes CAT3, HOUSE becomes HOUSE5, and DOOR becomes DOOR4. What code does TABLE get?

   • A5TABLE
   • BTABLE5
   • CTABLE6
   • DTABLE4
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   Answer: B. TABLE5

   The number at the end is the number of letters in the word. TABLE has 5 letters, so TABLE5.

9. Question 9 of 16

   Employee IDs follow a pattern. Lee Chan, hired in 2019 in department 4, has ID CH19-4. Ana Ruiz, hired in 2021 in department 2, has ID RU21-2. What is the ID for Omar Patel, hired in 2023 in department 7?

   • AOM23-7
   • BPA7-23
   • CPA23-7
   • DPA2023-7
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   Answer: C. PA23-7

   The ID is the first two letters of the last name, the last two digits of the hiring year, a dash, and the department number.

10. Question 10 of 16

    Three of these letter groups follow the same rule. Which group does not?

    • AGIK
    • BACE
    • CLMN
    • DBDF
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    Answer: C. LMN

    In ACE, BDF and GIK, each letter skips one letter of the alphabet. LMN uses letters right next to each other.

11. Question 11 of 16

    A machine is serviced every 5 days. The first service is on a Monday. On what day of the week is the 4th service?

    • AThursday
    • BFriday
    • CSunday
    • DTuesday
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    Answer: D. Tuesday

    The 4th service is 3 gaps after the first: 3 × 5 = 15 days. 15 days is 2 weeks and 1 day, so Monday + 1 day = Tuesday.

12. Question 12 of 16

    In this grid, every row and every column adds up to the same total. What number replaces the question mark?

    Column 1	Column 2	Column 3
    8	1	6
    3	5	7
    4	9	?

    • A1
    • B6
    • C2
    • D3
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    Answer: C. 2

    Each full row adds to 15 (8 + 1 + 6). Row 3: 4 + 9 + ? = 15, so ? = 2. The last column checks: 6 + 7 + 2 = 15.

13. Question 13 of 16

    A rule turns 3 into 10, 6 into 37, and 8 into 65. What does the same rule turn 5 into?

    • A26
    • B11
    • C16
    • D25
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    Answer: A. 26

    The rule is "square the number, then add 1": 3 × 3 + 1 = 10, 6 × 6 + 1 = 37. So 5 × 5 + 1 = 26.

14. Question 14 of 16

    In the table, each result is worked out from the first two numbers with the same two steps. What number replaces the question mark?

    First	Second	Result
    9	4	10
    12	5	14
    15	8	?

    • A7
    • B23
    • C14
    • D46
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    Answer: C. 14

    Subtract the second number from the first, then double it: (9 − 4) × 2 = 10, (12 − 5) × 2 = 14. So (15 − 8) × 2 = 14.

15. Question 15 of 16

    A rule changes STOP into POTS and LIVE into EVIL. What does the same rule change DRAW into?

    • ARAWD
    • BARDW
    • CWARD
    • DWRAD
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    Answer: C. WARD

    The rule writes each word backwards. DRAW backwards is WARD.

16. Question 16 of 16

    The table shows boxes packed per day. Each worker's numbers follow their own pattern. How many boxes will Ann pack on Friday?

    Worker	Mon	Tue	Wed	Thu	Fri
    Ann	2	4	8	16	?
    Bo	5	9	13	17	21

    • A24
    • B18
    • C32
    • D20
    Show answer

    Answer: C. 32

    Ann's numbers double each day: 2, 4, 8, 16, so Friday is 32. Bo's pattern (add 4) is a different rule and does not apply to Ann.

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