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

1. 第1题，共16题

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

   • ARed
   • BGreen
   • CBlue
   显示答案

   答案: 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. 第2题，共16题

   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
   显示答案

   答案: 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. 第3题，共16题

   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
   显示答案

   答案: 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. 第4题，共16题

   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
   显示答案

   答案: 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. 第5题，共16题

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

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

   • A10
   • B15
   • C50
   • D25
   显示答案

   答案: 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. 第6题，共16题

   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
   显示答案

   答案: 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. 第7题，共16题

   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
   显示答案

   答案: A. C

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

8. 第8题，共16题

   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
   显示答案

   答案: B. TABLE5

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

9. 第9题，共16题

   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
   显示答案

   答案: 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. 第10题，共16题

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

    • AGIK
    • BACE
    • CLMN
    • DBDF
    显示答案

    答案: C. LMN

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

11. 第11题，共16题

    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
    显示答案

    答案: 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. 第12题，共16题

    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
    显示答案

    答案: 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. 第13题，共16题

    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
    显示答案

    答案: 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. 第14题，共16题

    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
    显示答案

    答案: 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. 第15题，共16题

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

    • ARAWD
    • BARDW
    • CWARD
    • DWRAD
    显示答案

    答案: C. WARD

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

16. 第16题，共16题

    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
    显示答案

    答案: 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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