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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 105 · 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 two numbers is 24 and their difference is 6. What is the smaller number?
  2. 2.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?
  3. 3.The sum of two numbers is 166 and their difference is 8. What is the larger number?
  4. 4.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  5. 5.The sum of two numbers is 45 and their difference is 25. What is the larger number?
  6. 6.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  11. 11.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 111. What is the smaller number?
  13. 13.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  14. 14.One number is 6 times another. Their difference is 45. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  16. 16.The sum of two numbers is 17 and their difference is 5. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 159. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  20. 20.The sum of two numbers is 89 and their difference is 37. What is the larger number?
  21. 21.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  22. 22.One number is 6 times another. Their difference is 125. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 78. What is the largest of them?
  25. 25.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 45. What is the largest of them?
  27. 27.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  28. 28.The sum of two numbers is 43 and their difference is 17. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  30. 30.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 21. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 129. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  34. 34.The sum of two numbers is 42 and their difference is 6. What is the smaller number?
  35. 35.The sum of two numbers is 137 and their difference is 39. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  37. 37.One number is 6 times another. Their difference is 120. What is the smaller number?
  38. 38.The sum of two numbers is 63 and their difference is 21. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 60. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 75. What is the largest of them?

Answer key

  1. 9
  2. 78
  3. 87
  4. 29
  5. 35
  6. 67
  7. 13
  8. 56
  9. 14
  10. 30
  11. 70
  12. 37
  13. 23
  14. 9
  15. 7
  16. 6
  17. 42
  18. 54
  19. 66
  20. 63
  21. 51
  22. 25
  23. 48
  24. 21
  25. 42
  26. 11
  27. 17
  28. 13
  29. 34
  30. 18
  31. 7
  32. 44
  33. 31
  34. 18
  35. 88
  36. 11
  37. 24
  38. 21
  39. 12
  40. 27

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