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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 304 · 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 57. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  3. 3.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  4. 4.The sum of two numbers is 102 and their difference is 68. What is the larger number?
  5. 5.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  6. 6.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  8. 8.The sum of two numbers is 52 and their difference is 40. What is the larger number?
  9. 9.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.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?
  11. 11.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  12. 12.The sum of two numbers is 125 and their difference is 57. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  17. 17.One number is 6 times another. Their difference is 45. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of two numbers is 58 and their difference is 12. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 63. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  23. 23.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?
  24. 24.One number is 5 times another. Their difference is 144. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 18. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  29. 29.The sum of two numbers is 69 and their difference is 51. What is the smaller number?
  30. 30.One number is 4 times another. Their difference is 18. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 120. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 93. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  37. 37.One number is 2 times another. Their difference is 39. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 180. What is the largest of them?
  39. 39.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 42. What is the smaller number?

Answer key

  1. 17
  2. 81
  3. 45
  4. 85
  5. 37
  6. 64
  7. 31
  8. 46
  9. 69
  10. 56
  11. 48
  12. 34
  13. 59
  14. 61
  15. 27
  16. 15
  17. 9
  18. 46
  19. 23
  20. 8
  21. 21
  22. 25
  23. 78
  24. 36
  25. 58
  26. 7
  27. 36
  28. 71
  29. 9
  30. 6
  31. 27
  32. 26
  33. 23
  34. 32
  35. 35
  36. 41
  37. 39
  38. 61
  39. 26
  40. 21

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