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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 691 · 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.One number is 3 times another. Their difference is 72. What is the smaller number?
  2. 2.The sum of 5 consecutive numbers is 150. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 185. What is the smaller number?
  4. 4.The sum of two numbers is 51 and their difference is 33. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 205. What is the largest of them?
  6. 6.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  7. 7.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of two numbers is 38 and their difference is 28. What is the larger number?
  9. 9.The sum of two numbers is 59 and their difference is 1. What is the larger number?
  10. 10.The sum of two numbers is 143 and their difference is 29. What is the smaller number?
  11. 11.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  15. 15.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?
  16. 16.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?
  17. 17.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  18. 18.The sum of two numbers is 111 and their difference is 83. What is the larger number?
  19. 19.The sum of 5 consecutive numbers is 135. What is the largest of them?
  20. 20.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?
  21. 21.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?
  22. 22.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?
  23. 23.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?
  24. 24.The sum of two numbers is 148 and their difference is 6. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 255. What is the largest of them?
  26. 26.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  31. 31.The sum of two numbers is 70 and their difference is 8. What is the larger number?
  32. 32.The sum of two numbers is 36 and their difference is 24. What is the smaller number?
  33. 33.The sum of two numbers is 112 and their difference is 38. What is the larger number?
  34. 34.The sum of two numbers is 48 and their difference is 26. What is the larger number?
  35. 35.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  38. 38.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  39. 39.The sum of two numbers is 142 and their difference is 2. What is the larger number?
  40. 40.The sum of 3 consecutive numbers is 156. What is the largest of them?

Answer key

  1. 36
  2. 32
  3. 37
  4. 9
  5. 43
  6. 52
  7. 56
  8. 33
  9. 30
  10. 57
  11. 7
  12. 65
  13. 44
  14. 45
  15. 78
  16. 29
  17. 59
  18. 97
  19. 29
  20. 79
  21. 28
  22. 27
  23. 38
  24. 71
  25. 53
  26. 30
  27. 23
  28. 75
  29. 14
  30. 81
  31. 39
  32. 6
  33. 75
  34. 37
  35. 29
  36. 20
  37. 26
  38. 13
  39. 72
  40. 53

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