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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 963 · 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 108. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of two numbers is 69 and their difference is 7. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 115. What is the smaller number?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  8. 8.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  10. 10.One number is 4 times another. Their difference is 15. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  13. 13.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?
  14. 14.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  15. 15.One number is 5 times another. Their difference is 44. What is the smaller number?
  16. 16.The sum of two numbers is 73 and their difference is 55. What is the larger number?
  17. 17.One number is 2 times another. Their difference is 28. What is the smaller number?
  18. 18.The sum of two numbers is 115 and their difference is 17. What is the larger number?
  19. 19.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?
  20. 20.The sum of two numbers is 91 and their difference is 55. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  22. 22.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  24. 24.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  25. 25.The sum of two numbers is 139 and their difference is 5. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  27. 27.The sum of two numbers is 87 and their difference is 15. What is the larger number?
  28. 28.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  30. 30.The sum of two numbers is 40 and their difference is 6. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 30. What is the smaller number?
  32. 32.The sum of two numbers is 58 and their difference is 54. What is the larger number?
  33. 33.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 138. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 177. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 240. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 58. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 153. What is the smallest of them?

Answer key

  1. 34
  2. 34
  3. 31
  4. 38
  5. 23
  6. 67
  7. 58
  8. 7
  9. 75
  10. 5
  11. 39
  12. 82
  13. 19
  14. 53
  15. 11
  16. 64
  17. 28
  18. 66
  19. 15
  20. 18
  21. 27
  22. 15
  23. 27
  24. 15
  25. 67
  26. 87
  27. 51
  28. 13
  29. 53
  30. 17
  31. 15
  32. 56
  33. 67
  34. 36
  35. 60
  36. 52
  37. 50
  38. 43
  39. 16
  40. 50

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