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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 33 · 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 numbers is 74. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 185. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  4. 4.The sum of two numbers is 111 and their difference is 59. What is the smaller number?
  5. 5.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  6. 6.One number is 4 times another. Their difference is 57. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 23. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  9. 9.One number is 4 times another. Their difference is 78. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 170. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 62. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 78. What is the largest of them?
  14. 14.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?
  15. 15.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  16. 16.The sum of two numbers is 17 and their difference is 15. What is the smaller number?
  17. 17.The sum of two numbers is 87 and their difference is 49. What is the larger number?
  18. 18.The sum of 5 consecutive numbers is 145. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 45. What is the largest of them?
  21. 21.The sum of two numbers is 74 and their difference is 56. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 141. What is the largest of them?
  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 odd numbers is 249. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  27. 27.The sum of two numbers is 94 and their difference is 84. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  29. 29.The sum of two numbers is 45 and their difference is 25. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 7. What is the smaller number?
  33. 33.The sum of two numbers is 84 and their difference is 10. What is the smaller number?
  34. 34.The sum of two numbers is 33 and their difference is 29. What is the larger number?
  35. 35.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  38. 38.One number is 4 times another. Their difference is 102. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 48. What is the smaller number?
  40. 40.The sum of two numbers is 45 and their difference is 9. What is the larger number?

Answer key

  1. 20
  2. 39
  3. 66
  4. 26
  5. 9
  6. 19
  7. 23
  8. 69
  9. 26
  10. 34
  11. 31
  12. 9
  13. 27
  14. 56
  15. 26
  16. 1
  17. 68
  18. 31
  19. 48
  20. 16
  21. 9
  22. 48
  23. 68
  24. 81
  25. 37
  26. 55
  27. 5
  28. 16
  29. 10
  30. 6
  31. 17
  32. 7
  33. 37
  34. 31
  35. 36
  36. 25
  37. 13
  38. 34
  39. 12
  40. 27

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