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Number Series Math for Bank Jobs and Admission Test in Bangladesh

Series Math for Bank Jobs and University Admission Test in Bangladesh

Series math is an essential topic for competitive exams in Bangladesh, including bank jobs, government jobs, MNC recruitment, and university admission tests (BBA, MBA, etc.). Mastering number series helps improve logical reasoning, pattern recognition, and numerical problem-solving skills, which are critical for success.

In this guide, we provide 25 common series math questions with step-by-step solutions to help you prepare effectively. Whether you’re aiming for a banking career or seeking admission to a top university, this comprehensive resource will sharpen your problem-solving abilities and boost your confidence.

25 Important Series Math Questions Banks

1. Find the missing number: 3, 8, 15, 24, 35, ?

2. What comes next in the sequence? 3, 9, 27, 81, ?

3. Identify the missing term: 5, 10, 20, ?, 80, 160

4. What is the next term? 1, 1, 2, 3, ?, 8, 13

5. Find the missing number: 100, 50, 25, ?, 6.25

6. Identify the pattern: 8, 27, 64, ?, 216

7. What comes next? 2, 3, 5, 7, ?, 13

8. Find the missing number: 4, 9, ?, 25, 36, 49

9. Identify the next term: 1, 4, 9, ?, 25, 36

10. Find the missing number: 11, 22, 33, ?, 55, 66

11. Identify the pattern: 121, 144, ?, 196, 225

12. Find the missing term: 7, 14, 28, ?, 112, 224

13. What comes next? 81, 64, ?, 36, 25, 16

14. Identify the missing term: 13, 26, ?, 104, 208

15. Find the missing number: 243, 81, ?, 9, 3

16. Identify the pattern: 1000, 100, ?, 1, 0.1

17. Find the missing term: 2, 5, ?, 17, 26, 37

18. What comes next? 6, 11, 20, ?, 75, 137

19. Identify the missing term: 1024, 512, 256, ?, 64

20. Find the missing number: 15, 31, 63, ?, 255, 511

21. What comes next? 0, 3, 8, ?, 24, 35

22. Identify the pattern: 17, 19, 23, ?, 31, 41

23. Find the missing term: 320, 160, ?, 40, 20

24. What comes next? 9, 18, 36, ?, 144, 288

25. Identify the missing number: 5, 10, 17, 26, ?, 50

Detailed Solutions

Here is a detailed solution for each sequence question:

1. Find the missing number:

3, 8, 15, 24, 35, ?

Pattern Analysis:

Each number follows the formula n(n+2), where n starts from 1:

  • 1 × 3 = 3
  • 2 × 4 = 8
  • 3 × 5 = 15
  • 4 × 6 = 24
  • 5 × 7 = 35
  • 6 × 8 = 48

Answer: 48

2. What comes next?

3, 9, 27, 81, ?

  • The pattern follows: Multiply by 3
    • 3 × 3 = 9
    • 9 × 3 = 27
    • 27 × 3 = 81
    • 81 × 3 = 243

Answer: 243

3. Identify the missing term:

5, 10, 20, ?, 80, 160

  • The pattern follows: Multiply by 2
    • 5 × 2 = 10
    • 10 × 2 = 20
    • 20 × 2 = 40
    • 40 × 2 = 80
    • 80 × 2 = 160

Answer: 40

4. What is the next term?

1, 1, 2, 3, ?, 8, 13

  • This follows the Fibonacci sequence: Next term is the sum of the previous two
    • 1 + 1 = 2
    • 1 + 2 = 3
    • 2 + 3 = 5
    • 3 + 5 = 8
    • 5 + 8 = 13

Answer: 5

5. Find the missing number:

100, 50, 25, ?, 6.25

  • The pattern follows: Divide by 2
    • 100 ÷ 2 = 50
    • 50 ÷ 2 = 25
    • 25 ÷ 2 = 12.5
    • 12.5 ÷ 2 = 6.25

Answer: 12.5

6. Identify the pattern:

8, 27, 64, ?, 216

  • These are cube numbers:
    • 23=82^3 = 8
    • 33=273^3 = 27
    • 43=644^3 = 64
    • 53=1255^3 = 125
    • 63=2166^3 = 216

Answer: 125

7. What comes next?

2, 3, 5, 7, ?, 13

  • This is a prime number sequence:
    • Next prime after 7 is 11

Answer: 11

8. Find the missing number:

4, 9, ?, 25, 36, 49

  • These are square numbers:
    • 22=42^2 = 4
    • 32=93^2 = 9
    • 42=164^2 = 16
    • 52=255^2 = 25
    • 62=366^2 = 36
    • 72=497^2 = 49

Answer: 16

9. Identify the next term:

1, 4, 9, ?, 25, 36

  • These are square numbers:
    • 12=11^2 = 1
    • 22=42^2 = 4
    • 32=93^2 = 9
    • 42=164^2 = 16
    • 52=255^2 = 25
    • 62=366^2 = 36

Answer: 16

10. Find the missing number:

11, 22, 33, ?, 55, 66

  • The pattern follows: Add 11
    • 11 + 11 = 22
    • 22 + 11 = 33
    • 33 + 11 = 44
    • 44 + 11 = 55
    • 55 + 11 = 66

Answer: 44

11. Identify the pattern:

121, 144, ?, 196, 225

  • These are square numbers:
    • 112=12111^2 = 121
    • 122=14412^2 = 144
    • 132=16913^2 = 169
    • 142=19614^2 = 196
    • 152=22515^2 = 225

Answer: 169

12. Find the missing term:

7, 14, 28, ?, 112, 224

  • The pattern follows: Multiply by 2
    • 7 × 2 = 14
    • 14 × 2 = 28
    • 28 × 2 = 56
    • 56 × 2 = 112
    • 112 × 2 = 224

Answer: 56

13. What comes next?

81, 64, ?, 36, 25, 16

  • These are square numbers in decreasing order:
    • 92=819^2 = 81
    • 82=648^2 = 64
    • 72=497^2 = 49
    • 62=366^2 = 36
    • 52=255^2 = 25
    • 42=164^2 = 16

Answer: 49

14. Identify the missing term:

13, 26, ?, 104, 208

  • The pattern follows: Multiply by 2
    • 13 × 2 = 26
    • 26 × 2 = 52
    • 52 × 2 = 104
    • 104 × 2 = 208

Answer: 52

15. Find the missing number:

243, 81, ?, 9, 3

  • The pattern follows: Divide by 3
    • 243 ÷ 3 = 81
    • 81 ÷ 3 = 27
    • 27 ÷ 3 = 9
    • 9 ÷ 3 = 3

Answer: 27

16. Identify the pattern:

1000, 100, ?, 1, 0.1

  • The pattern follows: Divide by 10
    • 1000 ÷ 10 = 100
    • 100 ÷ 10 = 10
    • 10 ÷ 10 = 1
    • 1 ÷ 10 = 0.1

Answer: 10

17. Find the missing term:

2, 5, ?, 17, 26, 37

  • The pattern follows: Add consecutive prime numbers
    • 2 + 3 = 5
    • 5 + 5 = 10
    • 10 + 7 = 17
    • 17 + 9 = 26
    • 26 + 11 = 37

Answer: 10

18. What comes next?

6, 11, 20, ?, 75, 137

  • The pattern follows: Add consecutive prime numbers multiplied by 2
    • 6 + (5 × 1) = 11
    • 11 + (9 × 1) = 20
    • 20 + (13 × 2) = 46
    • 46 + (29 × 1) = 75
    • 75 + (31 × 2) = 137

Answer: 46

19. Identify the missing term:

1024, 512, 256, ?, 64

  • The pattern follows: Divide by 2
    • 1024 ÷ 2 = 512
    • 512 ÷ 2 = 256
    • 256 ÷ 2 = 128
    • 128 ÷ 2 = 64

Answer: 128

20. Find the missing number:

15, 31, 63, ?, 255, 511

  • The pattern follows: Multiply by 2 and add 1
    • (15 × 2) + 1 = 31
    • (31 × 2) + 1 = 63
    • (63 × 2) + 1 = 127
    • (127 × 2) + 1 = 255
    • (255 × 2) + 1 = 511

Answer: 127

21. What comes next?

0, 3, 8, ?, 24, 35

  • The pattern follows: n² – 1
    • 12−1=01^2 – 1 = 0
    • 22−1=32^2 – 1 = 3
    • 32−1=83^2 – 1 = 8
    • 42−1=154^2 – 1 = 15
    • 52−1=245^2 – 1 = 24
    • 62−1=356^2 – 1 = 35

Answer: 15

22. Identify the pattern:

17, 19, 23, ?, 31, 41

  • This sequence consists of prime numbers
    • 17, 19, 23, 29, 31, 41

Answer: 29

23. Find the missing term:

320, 160, ?, 40, 20

  • The pattern follows: Divide by 2
    • 320 ÷ 2 = 160
    • 160 ÷ 2 = 80
    • 80 ÷ 2 = 40
    • 40 ÷ 2 = 20

Answer: 80

24. What comes next?

9, 18, 36, ?, 144, 288

  • The pattern follows: Multiply by 2
    • 9 × 2 = 18
    • 18 × 2 = 36
    • 36 × 2 = 72
    • 72 × 2 = 144
    • 144 × 2 = 288

Answer: 72

25. Identify the missing number:

5, 10, 17, 26, ?, 50

  • The pattern follows: Add consecutive odd numbers
    • 5 + 5 = 10
    • 10 + 7 = 17
    • 17 + 9 = 26
    • 26 + 11 = 37
    • 37 + 13 = 50

Answer: 37

Mastering series math is essential for bank jobs, government exams, MNC recruitment, and university admission tests in Bangladesh. By understanding number patterns and logical sequences, you can significantly improve your problem-solving skills.

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