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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 886 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  2. 2.One number is 5 times another. Their difference is 88. What is the smaller number?
  3. 3.The sum of two numbers is 25 and their difference is 3. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 33. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  9. 9.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  12. 12.One number is 6 times another. Their difference is 125. What is the smaller number?
  13. 13.The sum of two numbers is 84 and their difference is 68. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 225. What is the largest of them?
  15. 15.The sum of two numbers is 188 and their difference is 8. What is the smaller number?
  16. 16.The sum of two numbers is 35 and their difference is 19. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  18. 18.The sum of two numbers is 148 and their difference is 42. What is the smaller number?
  19. 19.The sum of two numbers is 88 and their difference is 28. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 5. What is the smaller number?
  21. 21.The sum of two numbers is 14 and their difference is 8. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  23. 23.One number is 5 times another. Their difference is 120. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 80. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  30. 30.The sum of two numbers is 73 and their difference is 11. What is the smaller number?
  31. 31.The sum of two numbers is 40 and their difference is 18. What is the larger number?
  32. 32.The sum of 5 consecutive numbers is 100. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  34. 34.The sum of two numbers is 35 and their difference is 1. What is the smaller number?
  35. 35.The sum of two numbers is 85 and their difference is 35. What is the larger number?
  36. 36.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  39. 39.One number is 4 times another. Their difference is 51. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 226. What is the largest of them?

Answer key

  1. 63
  2. 22
  3. 11
  4. 41
  5. 12
  6. 75
  7. 12
  8. 89
  9. 39
  10. 40
  11. 37
  12. 25
  13. 8
  14. 47
  15. 90
  16. 8
  17. 59
  18. 53
  19. 30
  20. 5
  21. 3
  22. 58
  23. 30
  24. 18
  25. 43
  26. 49
  27. 67
  28. 71
  29. 38
  30. 31
  31. 29
  32. 22
  33. 33
  34. 17
  35. 60
  36. 20
  37. 41
  38. 36
  39. 17
  40. 58

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