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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 984 · 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).

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  1. 1.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.The sum of two numbers is 61 and their difference is 21. What is the larger number?
  3. 3.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  4. 4.The sum of two numbers is 33 and their difference is 31. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 136. What is the smaller number?
  9. 9.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?
  10. 10.One number is 3 times another. Their difference is 72. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.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?
  13. 13.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  14. 14.The sum of two numbers is 27 and their difference is 5. What is the larger number?
  15. 15.One number is 2 times another. Their difference is 24. What is the smaller number?
  16. 16.The sum of two numbers is 88 and their difference is 14. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  18. 18.One number is 5 times another. Their difference is 76. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 60. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 225. What is the largest of them?
  22. 22.The sum of two numbers is 34 and their difference is 2. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 165. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  25. 25.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 305. What is the largest of them?
  27. 27.The sum of two numbers is 105 and their difference is 59. What is the larger number?
  28. 28.The sum of two numbers is 159 and their difference is 11. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  30. 30.The sum of two numbers is 84 and their difference is 64. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 13. What is the smaller number?
  34. 34.The sum of two numbers is 54 and their difference is 28. What is the larger number?
  35. 35.The sum of two numbers is 85 and their difference is 81. What is the larger number?
  36. 36.The sum of 4 consecutive numbers is 54. What is the largest of them?
  37. 37.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 160. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 153. What is the largest of them?

Answer key

  1. 78
  2. 41
  3. 77
  4. 1
  5. 12
  6. 52
  7. 38
  8. 34
  9. 89
  10. 36
  11. 46
  12. 29
  13. 22
  14. 16
  15. 24
  16. 37
  17. 80
  18. 19
  19. 46
  20. 14
  21. 47
  22. 16
  23. 33
  24. 46
  25. 35
  26. 63
  27. 82
  28. 74
  29. 72
  30. 10
  31. 9
  32. 48
  33. 13
  34. 41
  35. 83
  36. 15
  37. 79
  38. 25
  39. 34
  40. 53

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