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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 784 · 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 4 consecutive even numbers is 68. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  5. 5.The sum of two numbers is 90 and their difference is 50. What is the larger number?
  6. 6.The sum of 3 consecutive numbers is 24. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 128. What is the smaller number?
  9. 9.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?
  10. 10.One number is 3 times another. Their difference is 72. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 36. What is the smaller number?
  14. 14.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?
  15. 15.The sum of two numbers is 89 and their difference is 87. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 26. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  18. 18.One number is 5 times another. Their difference is 160. What is the smaller number?
  19. 19.The sum of two numbers is 104 and their difference is 2. What is the larger number?
  20. 20.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?
  21. 21.The sum of two numbers is 60 and their difference is 28. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  23. 23.The sum of two numbers is 160 and their difference is 16. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 6. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  26. 26.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?
  27. 27.One number is 5 times another. Their difference is 16. What is the smaller number?
  28. 28.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  29. 29.One number is 3 times another. Their difference is 78. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 120. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  32. 32.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  33. 33.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  36. 36.One number is 5 times another. Their difference is 156. What is the smaller number?
  37. 37.The sum of two numbers is 108 and their difference is 58. What is the larger number?
  38. 38.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?
  39. 39.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  40. 40.The sum of two numbers is 146 and their difference is 28. What is the larger number?

Answer key

  1. 14
  2. 15
  3. 81
  4. 46
  5. 70
  6. 9
  7. 87
  8. 32
  9. 56
  10. 36
  11. 84
  12. 18
  13. 12
  14. 36
  15. 1
  16. 26
  17. 14
  18. 40
  19. 53
  20. 58
  21. 16
  22. 34
  23. 72
  24. 6
  25. 6
  26. 78
  27. 4
  28. 54
  29. 39
  30. 41
  31. 53
  32. 37
  33. 79
  34. 18
  35. 41
  36. 39
  37. 83
  38. 89
  39. 64
  40. 87

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