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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 510 · 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 125. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 39. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 146. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  5. 5.One number is 2 times another. Their difference is 17. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  7. 7.The sum of two numbers is 23 and their difference is 15. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  9. 9.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 10. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  13. 13.The sum of two numbers is 122 and their difference is 42. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  16. 16.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  18. 18.One number is 4 times another. Their difference is 15. What is the smaller number?
  19. 19.The sum of two numbers is 154 and their difference is 18. What is the larger number?
  20. 20.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 214. What is the largest of them?
  27. 27.One number is 4 times another. Their difference is 54. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 245. What is the largest of them?
  29. 29.The sum of two numbers is 139 and their difference is 7. What is the smaller number?
  30. 30.The sum of two numbers is 135 and their difference is 19. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  32. 32.The sum of two numbers is 84 and their difference is 18. What is the larger number?
  33. 33.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.The sum of 3 consecutive numbers is 21. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 78. What is the largest of them?
  39. 39.The sum of two numbers is 41 and their difference is 5. What is the larger number?
  40. 40.The sum of two numbers is 64 and their difference is 8. What is the larger number?

Answer key

  1. 27
  2. 14
  3. 38
  4. 51
  5. 17
  6. 53
  7. 4
  8. 26
  9. 23
  10. 10
  11. 63
  12. 25
  13. 40
  14. 59
  15. 26
  16. 10
  17. 27
  18. 5
  19. 86
  20. 25
  21. 13
  22. 76
  23. 79
  24. 15
  25. 7
  26. 55
  27. 18
  28. 51
  29. 66
  30. 58
  31. 59
  32. 51
  33. 69
  34. 8
  35. 13
  36. 10
  37. 39
  38. 27
  39. 23
  40. 36

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