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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 39 · 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 80. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.The sum of two numbers is 79 and their difference is 67. What is the larger number?
  6. 6.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  7. 7.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  8. 8.The sum of two numbers is 74 and their difference is 46. What is the larger number?
  9. 9.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  11. 11.The sum of two numbers is 104 and their difference is 90. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 171. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 155. What is the largest of them?
  15. 15.One number is 3 times another. Their difference is 66. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 5 consecutive numbers is 105. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  20. 20.The sum of two numbers is 97 and their difference is 65. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  23. 23.The sum of two numbers is 117 and their difference is 53. What is the larger number?
  24. 24.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 40. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 39. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive numbers is 42. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 57. What is the largest of them?
  34. 34.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 105. What is the largest of them?
  40. 40.The sum of two numbers is 29 and their difference is 13. What is the larger number?

Answer key

  1. 18
  2. 58
  3. 45
  4. 36
  5. 73
  6. 47
  7. 74
  8. 60
  9. 26
  10. 41
  11. 7
  12. 47
  13. 58
  14. 33
  15. 33
  16. 35
  17. 23
  18. 45
  19. 23
  20. 16
  21. 10
  22. 16
  23. 85
  24. 60
  25. 50
  26. 10
  27. 51
  28. 39
  29. 67
  30. 75
  31. 67
  32. 15
  33. 20
  34. 13
  35. 29
  36. 58
  37. 24
  38. 11
  39. 36
  40. 21

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