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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 401 · 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 11. When the digits swap places, the number goes up by 63. What is the number?
  2. 2.The sum of two numbers is 25 and their difference is 1. What is the larger number?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.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?
  6. 6.The sum of two numbers is 186 and their difference is 6. What is the smaller number?
  7. 7.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?
  8. 8.One number is 4 times another. Their difference is 57. What is the smaller number?
  9. 9.One number is 2 times another. Their difference is 12. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 8. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 18. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  16. 16.One number is 4 times another. Their difference is 81. What is the smaller number?
  17. 17.The sum of two numbers is 155 and their difference is 35. What is the larger number?
  18. 18.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  19. 19.The sum of two numbers is 62 and their difference is 8. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 102. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 125 and their difference is 69. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 51. What is the largest of them?
  27. 27.The sum of two numbers is 19 and their difference is 3. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 117. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  35. 35.The sum of two numbers is 135 and their difference is 35. What is the smaller number?
  36. 36.The sum of two numbers is 26 and their difference is 14. What is the larger number?
  37. 37.The sum of two numbers is 66 and their difference is 32. What is the larger number?
  38. 38.One number is 4 times another. Their difference is 39. What is the smaller number?
  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 odd numbers is 225. What is the smallest of them?

Answer key

  1. 29
  2. 13
  3. 67
  4. 37
  5. 89
  6. 90
  7. 69
  8. 19
  9. 12
  10. 8
  11. 40
  12. 28
  13. 15
  14. 6
  15. 55
  16. 27
  17. 95
  18. 10
  19. 27
  20. 38
  21. 13
  22. 35
  23. 55
  24. 19
  25. 28
  26. 18
  27. 8
  28. 37
  29. 40
  30. 40
  31. 58
  32. 70
  33. 33
  34. 46
  35. 50
  36. 20
  37. 49
  38. 13
  39. 47
  40. 73

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