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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 531 · 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 165. What is the largest of them?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.One number is 2 times another. Their difference is 14. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 45. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 185. What is the largest of them?
  7. 7.The sum of two numbers is 115 and their difference is 59. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  9. 9.One number is 3 times another. Their difference is 38. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 123. What is the largest of them?
  11. 11.The sum of two numbers is 62 and their difference is 16. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  17. 17.One number is 4 times another. Their difference is 69. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 30. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 135. What is the largest of them?
  26. 26.The sum of two numbers is 149 and their difference is 5. What is the larger number?
  27. 27.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  30. 30.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?
  31. 31.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.The sum of two numbers is 49 and their difference is 25. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 180. What is the largest of them?
  34. 34.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?
  35. 35.One number is 5 times another. Their difference is 156. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 129. What is the largest of them?
  37. 37.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  39. 39.The sum of two numbers is 100 and their difference is 38. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 158. What is the largest of them?

Answer key

  1. 57
  2. 68
  3. 47
  4. 14
  5. 11
  6. 39
  7. 28
  8. 12
  9. 19
  10. 42
  11. 23
  12. 49
  13. 22
  14. 10
  15. 64
  16. 75
  17. 23
  18. 57
  19. 10
  20. 79
  21. 28
  22. 11
  23. 49
  24. 67
  25. 46
  26. 77
  27. 25
  28. 60
  29. 41
  30. 46
  31. 17
  32. 12
  33. 61
  34. 56
  35. 39
  36. 44
  37. 30
  38. 45
  39. 31
  40. 41

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