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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 914 · 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 165. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 117. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  5. 5.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  6. 6.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 238. What is the largest of them?
  8. 8.The sum of two numbers is 43 and their difference is 1. 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 9. What is the number?
  10. 10.The sum of two numbers is 55 and their difference is 41. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 84. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 178. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 132. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  20. 20.One number is 4 times another. Their difference is 84. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 20. What is the smaller number?
  23. 23.One number is 2 times another. Their difference is 27. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  26. 26.One number is 2 times another. Their difference is 30. What is the smaller number?
  27. 27.The sum of two numbers is 93 and their difference is 69. What is the larger number?
  28. 28.The sum of two numbers is 127 and their difference is 33. What is the larger number?
  29. 29.One number is 2 times another. Their difference is 36. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  31. 31.The sum of two numbers is 19 and their difference is 17. What is the smaller number?
  32. 32.The sum of two numbers is 86 and their difference is 52. What is the larger number?
  33. 33.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 60. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 45. What is the smaller number?
  36. 36.The sum of two numbers is 77 and their difference is 35. What is the larger number?
  37. 37.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?
  38. 38.The sum of two numbers is 102 and their difference is 62. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 106. What is the largest of them?

Answer key

  1. 53
  2. 40
  3. 14
  4. 27
  5. 14
  6. 55
  7. 61
  8. 22
  9. 78
  10. 7
  11. 48
  12. 14
  13. 21
  14. 15
  15. 29
  16. 31
  17. 46
  18. 45
  19. 5
  20. 28
  21. 30
  22. 10
  23. 27
  24. 41
  25. 38
  26. 30
  27. 81
  28. 80
  29. 36
  30. 9
  31. 1
  32. 69
  33. 40
  34. 14
  35. 15
  36. 56
  37. 89
  38. 20
  39. 77
  40. 28

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