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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 94 · 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 14. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 185. What is the largest of them?
  4. 4.One number is 2 times another. Their difference is 3. What is the smaller number?
  5. 5.The sum of two numbers is 61 and their difference is 21. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 255. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 96. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 65. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  12. 12.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  13. 13.One number is 5 times another. Their difference is 52. What is the smaller number?
  14. 14.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  15. 15.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.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?
  19. 19.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?
  20. 20.One number is 5 times another. Their difference is 36. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  23. 23.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  25. 25.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  26. 26.The sum of two numbers is 35 and their difference is 19. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  28. 28.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?
  29. 29.One number is 5 times another. Their difference is 28. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 144. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  32. 32.The sum of two numbers is 65 and their difference is 13. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 74. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 68. What is the smaller number?

Answer key

  1. 59
  2. 42
  3. 39
  4. 3
  5. 20
  6. 24
  7. 53
  8. 33
  9. 15
  10. 21
  11. 9
  12. 52
  13. 13
  14. 25
  15. 30
  16. 10
  17. 15
  18. 39
  19. 27
  20. 9
  21. 11
  22. 14
  23. 20
  24. 8
  25. 37
  26. 8
  27. 50
  28. 69
  29. 7
  30. 49
  31. 79
  32. 39
  33. 60
  34. 13
  35. 37
  36. 79
  37. 10
  38. 15
  39. 21
  40. 34

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