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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 633 · 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 numbers is 36. What is the largest of them?
  2. 2.One number is 6 times another. Their difference is 180. What is the smaller number?
  3. 3.One number is 6 times another. Their difference is 125. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 144. What is the largest of them?
  5. 5.The sum of two numbers is 49 and their difference is 19. What is the larger number?
  6. 6.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?
  7. 7.The sum of two numbers is 29 and their difference is 5. What is the smaller number?
  8. 8.The sum of two numbers is 48 and their difference is 14. What is the larger number?
  9. 9.The sum of two numbers is 16 and their difference is 10. What is the larger number?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  11. 11.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?
  12. 12.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  13. 13.The sum of two numbers is 39 and their difference is 33. What is the larger number?
  14. 14.The sum of two numbers is 35 and their difference is 11. What is the larger number?
  15. 15.The sum of two numbers is 22 and their difference is 4. What is the larger number?
  16. 16.The sum of two numbers is 112 and their difference is 46. What is the larger number?
  17. 17.One number is 2 times another. Their difference is 18. What is the smaller number?
  18. 18.The sum of two numbers is 34 and their difference is 30. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 33. What is the largest of them?
  21. 21.The sum of two numbers is 87 and their difference is 21. What is the smaller number?
  22. 22.The sum of two numbers is 151 and their difference is 5. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 3 consecutive numbers is 120. What is the largest of them?
  25. 25.The sum of two numbers is 85 and their difference is 43. What is the larger number?
  26. 26.The sum of 4 consecutive numbers is 222. What is the largest of them?
  27. 27.The sum of two numbers is 55 and their difference is 3. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 102. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  33. 33.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?
  34. 34.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.One number is 6 times another. Their difference is 65. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  37. 37.One number is 5 times another. Their difference is 60. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 115. What is the largest of them?
  39. 39.The sum of two numbers is 81 and their difference is 79. What is the larger number?
  40. 40.The sum of 4 consecutive odd numbers is 168. What is the largest of them?

Answer key

  1. 13
  2. 36
  3. 25
  4. 49
  5. 34
  6. 56
  7. 12
  8. 31
  9. 13
  10. 39
  11. 23
  12. 70
  13. 36
  14. 23
  15. 13
  16. 79
  17. 18
  18. 2
  19. 20
  20. 12
  21. 33
  22. 73
  23. 49
  24. 41
  25. 64
  26. 57
  27. 26
  28. 61
  29. 27
  30. 39
  31. 21
  32. 79
  33. 89
  34. 16
  35. 13
  36. 53
  37. 15
  38. 25
  39. 80
  40. 45

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