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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 148 · 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 159. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 46. What is the largest of them?
  4. 4.One number is 2 times another. Their difference is 40. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  12. 12.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?
  13. 13.One number is 4 times another. Their difference is 42. What is the smaller number?
  14. 14.The sum of two numbers is 163 and their difference is 9. What is the larger number?
  15. 15.The sum of two numbers is 131 and their difference is 45. What is the smaller number?
  16. 16.The sum of two numbers is 12 and their difference is 10. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 270. What is the largest of them?
  31. 31.The sum of two numbers is 107 and their difference is 71. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  36. 36.One number is 3 times another. Their difference is 18. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  40. 40.One number is 4 times another. Their difference is 21. What is the smaller number?

Answer key

  1. 55
  2. 45
  3. 13
  4. 40
  5. 29
  6. 18
  7. 29
  8. 22
  9. 14
  10. 47
  11. 77
  12. 17
  13. 14
  14. 86
  15. 43
  16. 1
  17. 66
  18. 53
  19. 61
  20. 67
  21. 20
  22. 17
  23. 30
  24. 58
  25. 52
  26. 79
  27. 59
  28. 14
  29. 55
  30. 56
  31. 18
  32. 16
  33. 45
  34. 59
  35. 16
  36. 9
  37. 89
  38. 48
  39. 32
  40. 7

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