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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 626 · 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 4 consecutive odd numbers is 56. What is the largest of them?
  2. 2.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?
  3. 3.The sum of two numbers is 30 and their difference is 4. What is the larger number?
  4. 4.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 65. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 74. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 30. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  11. 11.One number is 4 times another. Their difference is 42. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  13. 13.The sum of two numbers is 22 and their difference is 12. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 166. What is the largest of them?
  16. 16.The sum of two numbers is 134 and their difference is 48. What is the larger number?
  17. 17.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.The sum of 4 consecutive numbers is 190. What is the largest of them?
  21. 21.The sum of two numbers is 27 and their difference is 7. What is the smaller number?
  22. 22.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?
  23. 23.The sum of two numbers is 72 and their difference is 4. What is the larger number?
  24. 24.The sum of two numbers is 108 and their difference is 74. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 46. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 220. What is the largest of them?
  30. 30.The sum of two numbers is 94 and their difference is 10. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 50. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  35. 35.The sum of two numbers is 91 and their difference is 79. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  37. 37.The sum of two numbers is 36 and their difference is 22. What is the smaller number?
  38. 38.The sum of two numbers is 42 and their difference is 2. What is the smaller number?
  39. 39.The sum of two numbers is 20 and their difference is 10. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 300. What is the smallest of them?

Answer key

  1. 17
  2. 89
  3. 17
  4. 74
  5. 13
  6. 20
  7. 38
  8. 30
  9. 8
  10. 28
  11. 14
  12. 22
  13. 5
  14. 34
  15. 43
  16. 91
  17. 14
  18. 51
  19. 36
  20. 49
  21. 10
  22. 37
  23. 38
  24. 17
  25. 13
  26. 35
  27. 39
  28. 74
  29. 46
  30. 42
  31. 44
  32. 13
  33. 12
  34. 53
  35. 85
  36. 10
  37. 7
  38. 20
  39. 5
  40. 58

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