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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 189 · 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 odd numbers is 40. What is the largest of them?
  2. 2.The sum of two numbers is 142 and their difference is 26. What is the smaller number?
  3. 3.The sum of two numbers is 59 and their difference is 13. What is the larger number?
  4. 4.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?
  5. 5.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  6. 6.One number is 2 times another. Their difference is 8. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 230. What is the largest of them?
  8. 8.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  9. 9.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 180. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 102. What is the largest of them?
  13. 13.One number is 3 times another. Their difference is 78. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  17. 17.The sum of two numbers is 147 and their difference is 51. What is the smaller number?
  18. 18.The sum of two numbers is 107 and their difference is 77. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 78 and their difference is 12. What is the larger number?
  21. 21.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.The sum of 5 consecutive numbers is 45. What is the largest of them?
  24. 24.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of two numbers is 32 and their difference is 24. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 75. What is the largest of them?
  27. 27.The sum of two numbers is 156 and their difference is 10. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 170. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  31. 31.The sum of two numbers is 24 and their difference is 20. What is the larger number?
  32. 32.The sum of 5 consecutive numbers is 190. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  35. 35.One number is 6 times another. Their difference is 135. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 75. What is the largest of them?
  37. 37.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?
  38. 38.One number is 6 times another. Their difference is 45. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?

Answer key

  1. 13
  2. 58
  3. 36
  4. 89
  5. 65
  6. 8
  7. 48
  8. 59
  9. 16
  10. 53
  11. 61
  12. 35
  13. 39
  14. 38
  15. 69
  16. 43
  17. 48
  18. 15
  19. 16
  20. 45
  21. 12
  22. 49
  23. 11
  24. 68
  25. 28
  26. 26
  27. 73
  28. 34
  29. 47
  30. 60
  31. 22
  32. 40
  33. 45
  34. 36
  35. 27
  36. 17
  37. 39
  38. 9
  39. 24
  40. 27

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