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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 273 · 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 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?
  2. 2.The sum of two numbers is 56 and their difference is 12. What is the larger number?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  5. 5.The sum of 3 consecutive numbers is 108. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 230. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 198. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 120. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  13. 13.The sum of two numbers is 132 and their difference is 4. What is the larger number?
  14. 14.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?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  17. 17.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  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 3 consecutive numbers is 72. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 5 consecutive numbers is 290. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of two numbers is 155 and their difference is 41. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 18. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 42. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of two numbers is 62 and their difference is 56. What is the larger number?
  31. 31.The sum of two numbers is 81 and their difference is 9. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  35. 35.The sum of two numbers is 146 and their difference is 46. What is the larger number?
  36. 36.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 21. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 180. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 66. What is the smallest of them?

Answer key

  1. 36
  2. 34
  3. 78
  4. 29
  5. 37
  6. 48
  7. 18
  8. 51
  9. 41
  10. 26
  11. 27
  12. 29
  13. 68
  14. 19
  15. 67
  16. 9
  17. 20
  18. 57
  19. 56
  20. 23
  21. 9
  22. 79
  23. 60
  24. 43
  25. 59
  26. 57
  27. 6
  28. 15
  29. 35
  30. 59
  31. 36
  32. 8
  33. 25
  34. 24
  35. 96
  36. 35
  37. 41
  38. 7
  39. 38
  40. 21

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