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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 922 · 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 33. What is the largest of them?
  2. 2.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  3. 3.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  4. 4.The sum of two numbers is 49 and their difference is 45. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 6. What is the smaller number?
  6. 6.The sum of two numbers is 120 and their difference is 48. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 24. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 6. What is the smaller number?
  9. 9.The sum of two numbers is 24 and their difference is 18. What is the larger number?
  10. 10.The sum of two numbers is 156 and their difference is 12. What is the smaller number?
  11. 11.The sum of two numbers is 20 and their difference is 6. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 105. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 14. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 26. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 222. What is the largest of them?
  17. 17.The sum of 3 consecutive numbers is 18. What is the largest of them?
  18. 18.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?
  19. 19.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?
  20. 20.The sum of two numbers is 123 and their difference is 65. What is the smaller number?
  21. 21.The sum of two numbers is 111 and their difference is 29. What is the smaller number?
  22. 22.The sum of two numbers is 97 and their difference is 87. What is the larger number?
  23. 23.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?
  24. 24.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 214. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 87. What is the largest of them?
  30. 30.One number is 6 times another. Their difference is 165. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 202. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.The sum of 4 consecutive numbers is 86. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  35. 35.The sum of two numbers is 123 and their difference is 75. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 46. What is the largest of them?
  37. 37.One number is 6 times another. Their difference is 130. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  39. 39.One number is 4 times another. Their difference is 117. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 225. What is the largest of them?

Answer key

  1. 13
  2. 22
  3. 78
  4. 2
  5. 6
  6. 36
  7. 12
  8. 3
  9. 21
  10. 72
  11. 7
  12. 23
  13. 14
  14. 26
  15. 56
  16. 57
  17. 7
  18. 67
  19. 79
  20. 29
  21. 41
  22. 92
  23. 39
  24. 78
  25. 40
  26. 20
  27. 55
  28. 53
  29. 30
  30. 33
  31. 52
  32. 15
  33. 23
  34. 13
  35. 24
  36. 13
  37. 26
  38. 45
  39. 39
  40. 77

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