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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 538 · 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 320. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 280. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 42. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  5. 5.One number is 2 times another. Their difference is 7. What is the smaller number?
  6. 6.One number is 4 times another. Their difference is 72. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of 3 consecutive numbers is 159. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of 4 consecutive numbers is 86. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 183. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  15. 15.The sum of two numbers is 144 and their difference is 22. What is the larger number?
  16. 16.One number is 6 times another. Their difference is 160. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  19. 19.The sum of two numbers is 106 and their difference is 32. What is the larger number?
  20. 20.One number is 5 times another. Their difference is 152. What is the smaller number?
  21. 21.The sum of two numbers is 116 and their difference is 20. What is the larger number?
  22. 22.One number is 6 times another. Their difference is 90. What is the smaller number?
  23. 23.The sum of two numbers is 125 and their difference is 39. What is the smaller number?
  24. 24.The sum of two numbers is 120 and their difference is 26. What is the smaller number?
  25. 25.The sum of two numbers is 39 and their difference is 29. What is the larger number?
  26. 26.The sum of 4 consecutive numbers is 78. What is the largest of them?
  27. 27.One number is 3 times another. Their difference is 60. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  29. 29.The sum of two numbers is 109 and their difference is 71. What is the smaller number?
  30. 30.The sum of two numbers is 139 and their difference is 57. What is the smaller number?
  31. 31.The sum of two numbers is 26 and their difference is 2. What is the larger number?
  32. 32.One number is 4 times another. Their difference is 63. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  36. 36.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  37. 37.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  38. 38.One number is 4 times another. Their difference is 120. What is the smaller number?
  39. 39.The sum of two numbers is 25 and their difference is 23. What is the smaller number?
  40. 40.The sum of two numbers is 84 and their difference is 32. What is the smaller number?

Answer key

  1. 83
  2. 58
  3. 14
  4. 69
  5. 7
  6. 24
  7. 12
  8. 54
  9. 14
  10. 57
  11. 23
  12. 37
  13. 62
  14. 15
  15. 83
  16. 32
  17. 68
  18. 32
  19. 69
  20. 38
  21. 68
  22. 18
  23. 43
  24. 47
  25. 34
  26. 21
  27. 30
  28. 51
  29. 19
  30. 41
  31. 14
  32. 21
  33. 46
  34. 45
  35. 18
  36. 55
  37. 39
  38. 40
  39. 1
  40. 26

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