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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 461 · 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 4 consecutive numbers is 86. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 60. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  5. 5.The sum of two numbers is 80 and their difference is 14. What is the larger number?
  6. 6.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 110. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 132. What is the largest of them?
  9. 9.One number is 3 times another. Their difference is 78. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  12. 12.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.One number is 5 times another. Their difference is 56. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  15. 15.The sum of two numbers is 33 and their difference is 23. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  17. 17.One number is 2 times another. Their difference is 21. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 170. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  21. 21.The sum of two numbers is 19 and their difference is 1. What is the larger number?
  22. 22.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  23. 23.One number is 2 times another. Their difference is 7. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 100. What is the largest of them?
  25. 25.The sum of 4 consecutive numbers is 242. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  27. 27.The sum of two numbers is 67 and their difference is 15. What is the larger number?
  28. 28.One number is 3 times another. Their difference is 48. What is the smaller number?
  29. 29.One number is 6 times another. Their difference is 190. What is the smaller number?
  30. 30.The sum of two numbers is 145 and their difference is 29. What is the larger number?
  31. 31.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?
  32. 32.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  34. 34.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 34. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  37. 37.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  39. 39.The sum of two numbers is 94 and their difference is 58. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 34. What is the largest of them?

Answer key

  1. 23
  2. 14
  3. 51
  4. 39
  5. 47
  6. 49
  7. 29
  8. 45
  9. 39
  10. 60
  11. 50
  12. 69
  13. 14
  14. 45
  15. 5
  16. 28
  17. 21
  18. 44
  19. 55
  20. 72
  21. 10
  22. 57
  23. 7
  24. 22
  25. 62
  26. 25
  27. 41
  28. 24
  29. 38
  30. 87
  31. 89
  32. 75
  33. 39
  34. 24
  35. 34
  36. 20
  37. 51
  38. 77
  39. 76
  40. 10

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