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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 742 · 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 two numbers is 59 and their difference is 31. What is the larger number?
  2. 2.One number is 4 times another. Their difference is 39. What is the smaller number?
  3. 3.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  4. 4.The sum of two numbers is 35 and their difference is 3. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 138. What is the largest of them?
  6. 6.The sum of two numbers is 103 and their difference is 47. What is the larger number?
  7. 7.One number is 3 times another. Their difference is 28. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  9. 9.The sum of two numbers is 163 and their difference is 31. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 21. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  13. 13.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 170. What is the smaller number?
  17. 17.The sum of two numbers is 139 and their difference is 35. What is the larger number?
  18. 18.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 100. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 60. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  22. 22.One number is 5 times another. Their difference is 44. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The sum of two numbers is 79 and their difference is 39. What is the larger number?
  25. 25.The sum of two numbers is 105 and their difference is 71. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  28. 28.The sum of 4 consecutive numbers is 38. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  31. 31.The sum of two numbers is 79 and their difference is 31. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 60. What is the smaller number?
  33. 33.One number is 4 times another. Their difference is 120. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 174. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  37. 37.The sum of two numbers is 90 and their difference is 66. What is the larger number?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 100. What is the largest of them?

Answer key

  1. 45
  2. 13
  3. 47
  4. 16
  5. 36
  6. 75
  7. 14
  8. 37
  9. 66
  10. 7
  11. 58
  12. 57
  13. 39
  14. 43
  15. 48
  16. 34
  17. 87
  18. 61
  19. 25
  20. 14
  21. 77
  22. 11
  23. 13
  24. 59
  25. 17
  26. 49
  27. 19
  28. 11
  29. 46
  30. 69
  31. 24
  32. 12
  33. 40
  34. 59
  35. 15
  36. 39
  37. 78
  38. 89
  39. 20
  40. 22

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