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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 779 · 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 310. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  3. 3.The sum of two numbers is 63 and their difference is 41. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 146. What is the largest of them?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of 5 consecutive numbers is 55. What is the largest of them?
  9. 9.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 160. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  12. 12.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 206. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  15. 15.One number is 5 times another. Their difference is 28. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  18. 18.The sum of two numbers is 111 and their difference is 81. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  20. 20.The sum of two numbers is 72 and their difference is 44. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  22. 22.The sum of two numbers is 49 and their difference is 29. What is the smaller number?
  23. 23.The sum of two numbers is 102 and their difference is 42. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  25. 25.The sum of two numbers is 123 and their difference is 69. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  27. 27.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?
  28. 28.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  30. 30.One number is 4 times another. Their difference is 63. What is the smaller number?
  31. 31.The sum of two numbers is 60 and their difference is 34. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  33. 33.The sum of two numbers is 129 and their difference is 3. What is the larger number?
  34. 34.The sum of two numbers is 72 and their difference is 56. What is the larger number?
  35. 35.The sum of 3 consecutive numbers is 27. What is the largest of them?
  36. 36.One number is 3 times another. Their difference is 16. What is the smaller number?
  37. 37.The sum of two numbers is 91 and their difference is 49. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 64
  2. 19
  3. 11
  4. 56
  5. 38
  6. 78
  7. 69
  8. 13
  9. 45
  10. 34
  11. 45
  12. 78
  13. 53
  14. 14
  15. 7
  16. 47
  17. 5
  18. 15
  19. 26
  20. 14
  21. 21
  22. 10
  23. 30
  24. 76
  25. 27
  26. 84
  27. 59
  28. 23
  29. 22
  30. 21
  31. 13
  32. 20
  33. 66
  34. 64
  35. 10
  36. 8
  37. 21
  38. 71
  39. 48
  40. 14

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