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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 847 · 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 5 consecutive numbers is 65. What is the largest of them?
  2. 2.The sum of two numbers is 33 and their difference is 27. What is the larger number?
  3. 3.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?
  4. 4.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 105. What is the largest of them?
  6. 6.The sum of two numbers is 115 and their difference is 73. What is the larger number?
  7. 7.One number is 5 times another. Their difference is 36. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 48. What is the smaller number?
  9. 9.One number is 5 times another. Their difference is 64. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 24. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 285. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 142. What is the largest of them?
  13. 13.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  16. 16.The sum of two numbers is 119 and their difference is 47. What is the larger number?
  17. 17.One number is 2 times another. Their difference is 5. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  20. 20.The sum of two numbers is 104 and their difference is 68. What is the larger number?
  21. 21.The sum of 3 consecutive numbers is 72. What is the largest of them?
  22. 22.One number is 2 times another. Their difference is 22. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 78. What is the largest of them?
  24. 24.The sum of two numbers is 128 and their difference is 34. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  27. 27.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 51. What is the largest of them?
  29. 29.The sum of two numbers is 103 and their difference is 7. What is the larger number?
  30. 30.The sum of two numbers is 148 and their difference is 48. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 305. What is the largest of them?
  32. 32.The sum of two numbers is 53 and their difference is 13. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  34. 34.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.The sum of two numbers is 139 and their difference is 43. What is the smaller number?
  36. 36.The sum of two numbers is 40 and their difference is 34. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 136. What is the largest of them?

Answer key

  1. 15
  2. 30
  3. 18
  4. 12
  5. 23
  6. 94
  7. 9
  8. 24
  9. 16
  10. 24
  11. 59
  12. 37
  13. 29
  14. 17
  15. 66
  16. 83
  17. 5
  18. 28
  19. 5
  20. 86
  21. 25
  22. 22
  23. 27
  24. 47
  25. 12
  26. 42
  27. 70
  28. 18
  29. 55
  30. 50
  31. 63
  32. 20
  33. 16
  34. 57
  35. 48
  36. 3
  37. 44
  38. 10
  39. 16
  40. 37

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