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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 800 · 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 numbers is 126. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  3. 3.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  6. 6.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  7. 7.The sum of two numbers is 37 and their difference is 25. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  11. 11.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  12. 12.The sum of two numbers is 56 and their difference is 46. What is the larger number?
  13. 13.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?
  14. 14.The sum of 3 consecutive numbers is 72. What is the largest of them?
  15. 15.The sum of two numbers is 94 and their difference is 56. What is the smaller number?
  16. 16.The sum of two numbers is 46 and their difference is 34. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 32. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 20. What is the smaller number?
  20. 20.The sum of two numbers is 49 and their difference is 9. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 174. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 165. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  25. 25.The sum of two numbers is 135 and their difference is 27. What is the smaller number?
  26. 26.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  30. 30.The sum of two numbers is 34 and their difference is 30. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 93. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  34. 34.One number is 5 times another. Their difference is 56. What is the smaller number?
  35. 35.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  37. 37.One number is 5 times another. Their difference is 40. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 37. What is the smaller number?
  40. 40.The sum of two numbers is 83 and their difference is 57. What is the larger number?

Answer key

  1. 43
  2. 59
  3. 31
  4. 35
  5. 68
  6. 60
  7. 6
  8. 58
  9. 17
  10. 42
  11. 30
  12. 51
  13. 67
  14. 25
  15. 19
  16. 6
  17. 8
  18. 50
  19. 10
  20. 20
  21. 36
  22. 59
  23. 35
  24. 42
  25. 54
  26. 41
  27. 7
  28. 35
  29. 13
  30. 2
  31. 32
  32. 83
  33. 34
  34. 14
  35. 22
  36. 26
  37. 10
  38. 34
  39. 37
  40. 70

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