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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 905 · 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.One number is 5 times another. Their difference is 92. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  3. 3.The sum of two numbers is 154 and their difference is 6. What is the larger number?
  4. 4.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 100. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  7. 7.The sum of two numbers is 37 and their difference is 1. What is the larger number?
  8. 8.The sum of 3 consecutive numbers is 174. What is the largest of them?
  9. 9.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 194. What is the largest of them?
  11. 11.The sum of two numbers is 77 and their difference is 7. What is the larger number?
  12. 12.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 32. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  15. 15.The sum of two numbers is 120 and their difference is 28. What is the smaller number?
  16. 16.The sum of two numbers is 72 and their difference is 32. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  19. 19.One number is 3 times another. Their difference is 16. What is the smaller number?
  20. 20.The sum of two numbers is 86 and their difference is 62. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 146. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 240. What is the largest of them?
  24. 24.One number is 2 times another. Their difference is 13. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 102. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  28. 28.The sum of two numbers is 71 and their difference is 47. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 186. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  34. 34.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of two numbers is 104 and their difference is 2. What is the larger number?
  37. 37.The sum of two numbers is 136 and their difference is 24. What is the larger number?
  38. 38.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 23
  2. 47
  3. 80
  4. 75
  5. 22
  6. 18
  7. 19
  8. 59
  9. 7
  10. 50
  11. 42
  12. 42
  13. 8
  14. 37
  15. 46
  16. 20
  17. 57
  18. 32
  19. 8
  20. 12
  21. 38
  22. 16
  23. 50
  24. 13
  25. 27
  26. 24
  27. 8
  28. 12
  29. 19
  30. 36
  31. 32
  32. 48
  33. 19
  34. 72
  35. 37
  36. 53
  37. 80
  38. 17
  39. 12
  40. 34

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