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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 696 · 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 3 consecutive numbers is 180. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  3. 3.The sum of two numbers is 39 and their difference is 19. What is the smaller number?
  4. 4.The sum of two numbers is 113 and their difference is 43. What is the smaller number?
  5. 5.The sum of two numbers is 100 and their difference is 62. What is the larger number?
  6. 6.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  7. 7.The sum of two numbers is 110 and their difference is 24. What is the smaller number?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of two numbers is 16 and their difference is 14. What is the smaller number?
  11. 11.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  15. 15.One number is 2 times another. Their difference is 20. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  17. 17.The sum of two numbers is 25 and their difference is 1. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  19. 19.One number is 6 times another. Their difference is 135. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  22. 22.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  23. 23.The sum of two numbers is 89 and their difference is 51. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 170. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 50. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  28. 28.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?
  29. 29.The sum of two numbers is 51 and their difference is 43. What is the larger number?
  30. 30.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?
  31. 31.The sum of two numbers is 97 and their difference is 63. What is the smaller number?
  32. 32.The sum of two numbers is 132 and their difference is 12. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 95. What is the smaller number?
  35. 35.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?
  36. 36.The sum of two numbers is 70 and their difference is 4. What is the larger number?
  37. 37.One number is 6 times another. Their difference is 105. What is the smaller number?
  38. 38.The sum of two numbers is 109 and their difference is 65. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 200. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 88. What is the largest of them?

Answer key

  1. 59
  2. 84
  3. 10
  4. 35
  5. 81
  6. 81
  7. 43
  8. 89
  9. 29
  10. 1
  11. 34
  12. 25
  13. 16
  14. 50
  15. 20
  16. 21
  17. 12
  18. 8
  19. 27
  20. 67
  21. 82
  22. 26
  23. 19
  24. 44
  25. 59
  26. 12
  27. 17
  28. 47
  29. 47
  30. 58
  31. 17
  32. 60
  33. 48
  34. 19
  35. 24
  36. 37
  37. 21
  38. 22
  39. 40
  40. 25

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