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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 901 · 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 201. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 35. What is the largest of them?
  4. 4.The sum of two numbers is 48 and their difference is 14. What is the smaller number?
  5. 5.One number is 6 times another. Their difference is 200. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 34. What is the smaller number?
  9. 9.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?
  10. 10.One number is 3 times another. Their difference is 22. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  12. 12.One number is 6 times another. Their difference is 185. What is the smaller number?
  13. 13.The sum of two numbers is 87 and their difference is 59. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  15. 15.One number is 2 times another. Their difference is 20. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 270. What is the largest of them?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  19. 19.One number is 4 times another. Their difference is 51. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 16. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 115. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 200. What is the largest of them?
  24. 24.One number is 3 times another. Their difference is 38. What is the smaller number?
  25. 25.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?
  26. 26.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?
  27. 27.The sum of two numbers is 24 and their difference is 2. What is the smaller number?
  28. 28.The sum of two numbers is 92 and their difference is 56. What is the larger number?
  29. 29.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?
  30. 30.The sum of two numbers is 97 and their difference is 19. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 98 and their difference is 4. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 210. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 36. What is the largest of them?

Answer key

  1. 69
  2. 77
  3. 9
  4. 17
  5. 40
  6. 13
  7. 23
  8. 17
  9. 59
  10. 11
  11. 13
  12. 37
  13. 14
  14. 40
  15. 20
  16. 56
  17. 67
  18. 59
  19. 17
  20. 8
  21. 76
  22. 25
  23. 42
  24. 19
  25. 15
  26. 18
  27. 11
  28. 74
  29. 69
  30. 39
  31. 18
  32. 13
  33. 44
  34. 73
  35. 37
  36. 47
  37. 17
  38. 89
  39. 44
  40. 13

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