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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 82 · 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 78. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 238. What is the largest of them?
  3. 3.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  4. 4.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 175. What is the largest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 158 and their difference is 34. What is the smaller number?
  8. 8.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?
  9. 9.The sum of two numbers is 46 and their difference is 22. What is the larger number?
  10. 10.The sum of 4 consecutive numbers is 182. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 68. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 68. What is the smaller number?
  13. 13.The sum of two numbers is 53 and their difference is 49. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 104. What is the smaller number?
  15. 15.The sum of two numbers is 61 and their difference is 15. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  18. 18.The sum of two numbers is 18 and their difference is 10. What is the smaller number?
  19. 19.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  20. 20.The sum of two numbers is 113 and their difference is 79. What is the larger number?
  21. 21.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  22. 22.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  23. 23.One number is 3 times another. Their difference is 12. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  25. 25.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?
  26. 26.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?
  27. 27.The sum of 3 consecutive numbers is 105. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  29. 29.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 120 and their difference is 68. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 14. What is the smaller number?
  33. 33.The sum of two numbers is 91 and their difference is 71. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  36. 36.The sum of 3 consecutive numbers is 36. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 65. What is the largest of them?
  39. 39.The sum of two numbers is 149 and their difference is 31. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 225. What is the largest of them?

Answer key

  1. 28
  2. 61
  3. 82
  4. 17
  5. 37
  6. 39
  7. 62
  8. 36
  9. 34
  10. 47
  11. 34
  12. 17
  13. 2
  14. 26
  15. 23
  16. 19
  17. 69
  18. 4
  19. 28
  20. 96
  21. 49
  22. 66
  23. 6
  24. 38
  25. 79
  26. 67
  27. 36
  28. 54
  29. 11
  30. 23
  31. 26
  32. 7
  33. 10
  34. 73
  35. 18
  36. 13
  37. 25
  38. 15
  39. 59
  40. 77

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