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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 192 · 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 75. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  8. 8.One number is 5 times another. Their difference is 128. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  10. 10.The sum of two numbers is 73 and their difference is 37. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 54. What is the largest of them?
  12. 12.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  16. 16.One number is 6 times another. Their difference is 145. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 220. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 40. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  23. 23.The sum of two numbers is 44 and their difference is 2. What is the larger number?
  24. 24.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 34. What is the largest of them?
  26. 26.One number is 3 times another. Their difference is 36. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  28. 28.One number is 6 times another. Their difference is 15. What is the smaller number?
  29. 29.One number is 5 times another. Their difference is 96. What is the smaller number?
  30. 30.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  32. 32.The sum of two numbers is 19 and their difference is 5. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  34. 34.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  35. 35.The sum of two numbers is 122 and their difference is 46. What is the smaller number?
  36. 36.The sum of two numbers is 94 and their difference is 14. What is the larger number?
  37. 37.One number is 6 times another. Their difference is 165. What is the smaller number?
  38. 38.One number is 3 times another. Their difference is 16. What is the smaller number?
  39. 39.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 156. What is the largest of them?

Answer key

  1. 17
  2. 89
  3. 18
  4. 67
  5. 9
  6. 14
  7. 29
  8. 32
  9. 45
  10. 18
  11. 15
  12. 14
  13. 61
  14. 39
  15. 54
  16. 29
  17. 6
  18. 34
  19. 61
  20. 46
  21. 10
  22. 85
  23. 23
  24. 39
  25. 10
  26. 18
  27. 28
  28. 3
  29. 24
  30. 53
  31. 17
  32. 7
  33. 26
  34. 76
  35. 38
  36. 54
  37. 33
  38. 8
  39. 52
  40. 53

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