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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 722 · 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 141. What is the smallest of them?
  2. 2.One number is 3 times another. Their difference is 10. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  4. 4.The sum of two numbers is 112 and their difference is 44. What is the larger number?
  5. 5.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  6. 6.One number is 2 times another. Their difference is 27. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.One number is 2 times another. Their difference is 19. What is the smaller number?
  9. 9.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  10. 10.The sum of two numbers is 84 and their difference is 16. What is the larger number?
  11. 11.One number is 4 times another. Their difference is 102. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  13. 13.One number is 6 times another. Their difference is 130. What is the smaller number?
  14. 14.The sum of two numbers is 27 and their difference is 3. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 32. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 102. What is the largest of them?
  20. 20.The sum of two numbers is 126 and their difference is 30. What is the larger number?
  21. 21.The sum of two numbers is 81 and their difference is 27. What is the smaller number?
  22. 22.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 150. What is the smaller number?
  24. 24.The sum of two numbers is 116 and their difference is 28. What is the smaller number?
  25. 25.The sum of two numbers is 26 and their difference is 16. What is the larger number?
  26. 26.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?
  27. 27.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  29. 29.One number is 4 times another. Their difference is 105. What is the smaller number?
  30. 30.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  31. 31.The sum of two numbers is 93 and their difference is 71. What is the larger number?
  32. 32.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?
  33. 33.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.The sum of 3 consecutive numbers is 78. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  39. 39.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 180. What is the smallest of them?

Answer key

  1. 45
  2. 5
  3. 40
  4. 78
  5. 61
  6. 27
  7. 46
  8. 19
  9. 24
  10. 50
  11. 34
  12. 12
  13. 26
  14. 12
  15. 73
  16. 32
  17. 36
  18. 79
  19. 27
  20. 78
  21. 27
  22. 80
  23. 30
  24. 44
  25. 21
  26. 47
  27. 56
  28. 31
  29. 35
  30. 50
  31. 82
  32. 79
  33. 48
  34. 38
  35. 27
  36. 37
  37. 44
  38. 45
  39. 48
  40. 42

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