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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 554 · 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 129. What is the smallest 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 139 and their difference is 27. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.One number is 3 times another. Their difference is 76. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 153. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 50. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 180. What is the largest of them?
  10. 10.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?
  11. 11.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of two numbers is 66 and their difference is 30. What is the smaller number?
  14. 14.One number is 6 times another. Their difference is 165. What is the smaller number?
  15. 15.The sum of two numbers is 55 and their difference is 47. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 81. What is the largest of them?
  17. 17.One number is 2 times another. Their difference is 17. What is the smaller number?
  18. 18.The sum of two numbers is 16 and their difference is 8. What is the larger number?
  19. 19.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  20. 20.The sum of 4 consecutive numbers is 38. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 136. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 130. What is the largest of them?
  23. 23.The sum of two numbers is 44 and their difference is 14. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 30. What is the smaller number?
  25. 25.The sum of two numbers is 107 and their difference is 43. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 93. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 4 consecutive numbers is 54. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 124. What is the smaller number?
  31. 31.The sum of two numbers is 43 and their difference is 11. What is the larger number?
  32. 32.One number is 6 times another. Their difference is 140. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  34. 34.The sum of two numbers is 141 and their difference is 1. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 42. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  38. 38.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  39. 39.The sum of 3 consecutive numbers is 120. What is the largest of them?
  40. 40.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?

Answer key

  1. 41
  2. 89
  3. 56
  4. 78
  5. 38
  6. 52
  7. 20
  8. 25
  9. 61
  10. 13
  11. 43
  12. 38
  13. 18
  14. 33
  15. 4
  16. 28
  17. 17
  18. 12
  19. 59
  20. 11
  21. 34
  22. 34
  23. 15
  24. 15
  25. 32
  26. 31
  27. 28
  28. 68
  29. 15
  30. 31
  31. 27
  32. 28
  33. 19
  34. 70
  35. 12
  36. 12
  37. 61
  38. 20
  39. 41
  40. 28

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