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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 163 · 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 odd numbers is 81. What is the largest of them?
  2. 2.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  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 sum of 3 consecutive numbers is 159. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  7. 7.The sum of two numbers is 125 and their difference is 41. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 8. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 24. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 120. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 62. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 39. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.The sum of two numbers is 19 and their difference is 11. What is the larger number?
  19. 19.One number is 6 times another. Their difference is 65. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  21. 21.The sum of two numbers is 56 and their difference is 32. What is the larger number?
  22. 22.One number is 4 times another. Their difference is 108. What is the smaller number?
  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 two numbers is 54 and their difference is 32. What is the smaller number?
  25. 25.The sum of two numbers is 150 and their difference is 16. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 30. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 178. What is the largest of them?
  28. 28.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  29. 29.The sum of two numbers is 54 and their difference is 24. What is the larger number?
  30. 30.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  32. 32.The sum of two numbers is 61 and their difference is 37. What is the smaller number?
  33. 33.The sum of two numbers is 47 and their difference is 7. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  35. 35.The sum of two numbers is 30 and their difference is 18. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 76. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 180. What is the largest of them?

Answer key

  1. 29
  2. 16
  3. 78
  4. 52
  5. 45
  6. 7
  7. 42
  8. 4
  9. 26
  10. 29
  11. 12
  12. 78
  13. 54
  14. 26
  15. 17
  16. 13
  17. 49
  18. 15
  19. 13
  20. 18
  21. 44
  22. 36
  23. 68
  24. 11
  25. 67
  26. 11
  27. 46
  28. 39
  29. 39
  30. 41
  31. 38
  32. 12
  33. 27
  34. 30
  35. 6
  36. 21
  37. 39
  38. 38
  39. 24
  40. 61

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