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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 918 · 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 even numbers is 66. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  3. 3.The sum of two numbers is 34 and their difference is 24. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 158. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  8. 8.One number is 4 times another. Their difference is 27. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 154. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  11. 11.The sum of two numbers is 101 and their difference is 35. What is the smaller number?
  12. 12.The sum of two numbers is 126 and their difference is 20. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 23. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 60. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  20. 20.One number is 6 times another. Their difference is 70. What is the smaller number?
  21. 21.One number is 4 times another. Their difference is 45. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 70. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 140. What is the largest of them?
  24. 24.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of two numbers is 100 and their difference is 16. What is the smaller number?
  26. 26.The sum of two numbers is 67 and their difference is 43. What is the smaller number?
  27. 27.The sum of two numbers is 44 and their difference is 22. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 24. What is the largest of them?
  31. 31.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?
  32. 32.One number is 6 times another. Their difference is 160. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 51. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 87. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 146. What is the largest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 30 and their difference is 12. What is the larger number?
  40. 40.The sum of 3 consecutive even numbers is 48. What is the smallest of them?

Answer key

  1. 20
  2. 27
  3. 5
  4. 41
  5. 25
  6. 19
  7. 14
  8. 9
  9. 40
  10. 46
  11. 33
  12. 53
  13. 16
  14. 44
  15. 23
  16. 30
  17. 19
  18. 48
  19. 37
  20. 14
  21. 15
  22. 19
  23. 30
  24. 46
  25. 42
  26. 12
  27. 11
  28. 24
  29. 39
  30. 9
  31. 18
  32. 32
  33. 18
  34. 27
  35. 78
  36. 29
  37. 38
  38. 39
  39. 21
  40. 14

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