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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 43 · 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 5 consecutive numbers is 235. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 218. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  5. 5.The sum of two numbers is 64 and their difference is 42. What is the larger number?
  6. 6.The sum of two numbers is 180 and their difference is 4. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 51. What is the largest of them?
  8. 8.One number is 4 times another. Their difference is 45. What is the smaller number?
  9. 9.The sum of two numbers is 137 and their difference is 5. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 63. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  12. 12.The sum of two numbers is 93 and their difference is 69. What is the smaller number?
  13. 13.The sum of two numbers is 145 and their difference is 25. What is the larger number?
  14. 14.One number is 3 times another. Their difference is 26. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 78. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  18. 18.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  19. 19.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?
  20. 20.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  21. 21.The sum of two numbers is 71 and their difference is 31. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 110. What is the smaller number?
  24. 24.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?
  25. 25.The sum of two numbers is 48 and their difference is 2. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 70. What is the smaller number?
  30. 30.The sum of two numbers is 92 and their difference is 52. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 5. What is the smaller number?
  34. 34.The sum of two numbers is 60 and their difference is 8. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  36. 36.The sum of two numbers is 16 and their difference is 12. What is the larger number?
  37. 37.The sum of two numbers is 19 and their difference is 11. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 6. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 36. What is the largest of them?

Answer key

  1. 45
  2. 56
  3. 83
  4. 18
  5. 53
  6. 88
  7. 18
  8. 15
  9. 71
  10. 22
  11. 56
  12. 12
  13. 85
  14. 13
  15. 39
  16. 40
  17. 87
  18. 38
  19. 13
  20. 42
  21. 20
  22. 49
  23. 22
  24. 79
  25. 23
  26. 17
  27. 34
  28. 69
  29. 35
  30. 20
  31. 77
  32. 25
  33. 5
  34. 26
  35. 59
  36. 14
  37. 4
  38. 45
  39. 6
  40. 14

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