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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 103 · 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 digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  2. 2.One number is 4 times another. Their difference is 15. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  4. 4.One number is 3 times another. Their difference is 46. What is the smaller number?
  5. 5.The sum of two numbers is 48 and their difference is 30. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 12. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  13. 13.The sum of two numbers is 108 and their difference is 52. What is the larger number?
  14. 14.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?
  15. 15.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 27. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  21. 21.The sum of two numbers is 118 and their difference is 36. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  26. 26.One number is 5 times another. Their difference is 128. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 66. What is the largest of them?
  28. 28.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  29. 29.One number is 4 times another. Their difference is 96. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 290. What is the largest of them?
  31. 31.One number is 4 times another. Their difference is 36. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 39. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  37. 37.The sum of two numbers is 23 and their difference is 13. What is the larger number?
  38. 38.The sum of 4 consecutive numbers is 214. What is the largest of them?
  39. 39.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  40. 40.The sum of 3 consecutive numbers is 102. What is the largest of them?

Answer key

  1. 19
  2. 5
  3. 27
  4. 23
  5. 9
  6. 68
  7. 16
  8. 6
  9. 16
  10. 58
  11. 73
  12. 37
  13. 80
  14. 67
  15. 66
  16. 27
  17. 57
  18. 37
  19. 42
  20. 46
  21. 77
  22. 6
  23. 37
  24. 24
  25. 38
  26. 32
  27. 18
  28. 76
  29. 32
  30. 60
  31. 12
  32. 33
  33. 13
  34. 9
  35. 27
  36. 8
  37. 18
  38. 55
  39. 47
  40. 35

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