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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 107 · 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 4 consecutive even numbers is 284. What is the smallest of them?
  2. 2.The sum of two numbers is 45 and their difference is 37. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 6. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  5. 5.One number is 5 times another. Their difference is 100. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 115. What is the largest of them?
  7. 7.The sum of two numbers is 77 and their difference is 17. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 14. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  12. 12.One number is 2 times another. Their difference is 27. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  14. 14.The sum of two numbers is 39 and their difference is 31. What is the larger number?
  15. 15.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?
  16. 16.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  17. 17.The sum of two numbers is 130 and their difference is 24. What is the larger number?
  18. 18.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  19. 19.The sum of two numbers is 158 and their difference is 14. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  21. 21.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 48. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 156. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  26. 26.One number is 3 times another. Their difference is 30. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  28. 28.One number is 5 times another. Their difference is 144. What is the smaller number?
  29. 29.The sum of two numbers is 84 and their difference is 30. What is the smaller number?
  30. 30.The sum of two numbers is 33 and their difference is 7. What is the smaller number?
  31. 31.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?
  32. 32.One number is 2 times another. Their difference is 29. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of two numbers is 18 and their difference is 12. What is the smaller number?
  35. 35.The sum of two numbers is 61 and their difference is 47. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  39. 39.The sum of 3 consecutive numbers is 48. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?

Answer key

  1. 68
  2. 4
  3. 6
  4. 51
  5. 25
  6. 25
  7. 30
  8. 15
  9. 16
  10. 14
  11. 75
  12. 27
  13. 20
  14. 35
  15. 37
  16. 37
  17. 77
  18. 22
  19. 72
  20. 32
  21. 16
  22. 55
  23. 12
  24. 39
  25. 50
  26. 15
  27. 15
  28. 36
  29. 27
  30. 13
  31. 79
  32. 29
  33. 23
  34. 3
  35. 54
  36. 28
  37. 59
  38. 63
  39. 17
  40. 17

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