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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 251 · 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 even numbers is 114. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  4. 4.The sum of two numbers is 23 and their difference is 15. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 165. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive numbers is 168. What is the largest of them?
  10. 10.One number is 2 times another. Their difference is 15. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 110. What is the largest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  14. 14.The sum of two numbers is 36 and their difference is 2. What is the larger number?
  15. 15.The sum of two numbers is 65 and their difference is 59. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 50. What is the smaller number?
  17. 17.The sum of two numbers is 129 and their difference is 61. What is the larger number?
  18. 18.The sum of two numbers is 83 and their difference is 17. What is the larger number?
  19. 19.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?
  20. 20.The sum of 5 consecutive numbers is 250. What is the largest of them?
  21. 21.One number is 6 times another. Their difference is 190. What is the smaller number?
  22. 22.The sum of two numbers is 42 and their difference is 18. What is the larger number?
  23. 23.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  25. 25.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  27. 27.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 138. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 60. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.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?
  34. 34.The sum of two numbers is 120 and their difference is 14. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  36. 36.One number is 2 times another. Their difference is 27. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  40. 40.The sum of two numbers is 155 and their difference is 1. What is the larger number?

Answer key

  1. 36
  2. 39
  3. 40
  4. 19
  5. 56
  6. 16
  7. 41
  8. 37
  9. 57
  10. 15
  11. 29
  12. 24
  13. 39
  14. 19
  15. 3
  16. 25
  17. 95
  18. 50
  19. 56
  20. 52
  21. 38
  22. 30
  23. 68
  24. 23
  25. 33
  26. 16
  27. 37
  28. 78
  29. 47
  30. 15
  31. 37
  32. 14
  33. 79
  34. 53
  35. 58
  36. 27
  37. 38
  38. 24
  39. 54
  40. 78

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