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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 816 · 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.One number is 4 times another. Their difference is 93. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  4. 4.One number is 4 times another. Their difference is 63. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  7. 7.The sum of two numbers is 116 and their difference is 76. What is the smaller number?
  8. 8.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?
  9. 9.The sum of two numbers is 87 and their difference is 25. What is the larger number?
  10. 10.One number is 4 times another. Their difference is 102. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 222. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 36. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  15. 15.One number is 6 times another. Their difference is 110. What is the smaller number?
  16. 16.The sum of two numbers is 61 and their difference is 45. What is the larger number?
  17. 17.One number is 6 times another. Their difference is 90. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 30. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 218. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  22. 22.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  25. 25.One number is 4 times another. Their difference is 60. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 18. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 110. What is the largest of them?
  28. 28.The sum of two numbers is 70 and their difference is 16. What is the larger number?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 66. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  32. 32.The sum of two numbers is 117 and their difference is 35. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 105. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  40. 40.The sum of two numbers is 139 and their difference is 1. What is the larger number?

Answer key

  1. 31
  2. 67
  3. 38
  4. 21
  5. 46
  6. 22
  7. 20
  8. 37
  9. 56
  10. 34
  11. 57
  12. 13
  13. 33
  14. 38
  15. 22
  16. 53
  17. 18
  18. 15
  19. 60
  20. 56
  21. 48
  22. 82
  23. 89
  24. 9
  25. 20
  26. 9
  27. 24
  28. 43
  29. 79
  30. 23
  31. 19
  32. 41
  33. 87
  34. 81
  35. 10
  36. 49
  37. 36
  38. 19
  39. 77
  40. 70

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