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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 139 · 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 48. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  3. 3.The sum of two numbers is 86 and their difference is 16. What is the larger number?
  4. 4.One number is 5 times another. Their difference is 136. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 63. What is the largest of them?
  7. 7.The sum of two numbers is 129 and their difference is 29. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  9. 9.One number is 6 times another. Their difference is 90. What is the smaller number?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 162. What is the largest of them?
  13. 13.The sum of 5 consecutive numbers is 290. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 51. What is the largest of them?
  15. 15.One number is 2 times another. Their difference is 27. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 24. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  18. 18.The sum of two numbers is 65 and their difference is 29. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 150. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.The sum of two numbers is 50 and their difference is 12. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  24. 24.The sum of two numbers is 101 and their difference is 67. What is the larger number?
  25. 25.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  26. 26.The sum of two numbers is 175 and their difference is 5. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 108. What is the largest of them?
  28. 28.The sum of two numbers is 87 and their difference is 49. What is the larger number?
  29. 29.The sum of two numbers is 67 and their difference is 41. What is the larger number?
  30. 30.The sum of two numbers is 62 and their difference is 16. What is the larger number?
  31. 31.One number is 3 times another. Their difference is 28. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 34. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 52. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 45. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 195. What is the largest of them?
  39. 39.One number is 4 times another. Their difference is 96. What is the smaller number?
  40. 40.The sum of two numbers is 71 and their difference is 27. What is the larger number?

Answer key

  1. 15
  2. 18
  3. 51
  4. 34
  5. 17
  6. 22
  7. 50
  8. 36
  9. 18
  10. 36
  11. 36
  12. 42
  13. 60
  14. 18
  15. 27
  16. 12
  17. 14
  18. 18
  19. 32
  20. 56
  21. 19
  22. 38
  23. 21
  24. 84
  25. 25
  26. 85
  27. 37
  28. 68
  29. 54
  30. 39
  31. 14
  32. 77
  33. 17
  34. 26
  35. 9
  36. 54
  37. 42
  38. 41
  39. 32
  40. 49

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