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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 86 · 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 74. What is the smaller number?
  2. 2.The sum of two numbers is 13 and their difference is 11. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 7. What is the smaller number?
  4. 4.One number is 5 times another. Their difference is 108. What is the smaller number?
  5. 5.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?
  6. 6.The sum of 4 consecutive numbers is 54. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  8. 8.One number is 4 times another. Their difference is 54. What is the smaller number?
  9. 9.The sum of two numbers is 80 and their difference is 74. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 178. What is the largest of them?
  12. 12.The sum of two numbers is 153 and their difference is 7. What is the larger number?
  13. 13.The sum of two numbers is 22 and their difference is 2. What is the smaller number?
  14. 14.The sum of two numbers is 149 and their difference is 47. What is the larger number?
  15. 15.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 4 consecutive numbers is 194. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  19. 19.The sum of two numbers is 116 and their difference is 50. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 54. What is the largest of them?
  21. 21.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  22. 22.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  24. 24.One number is 5 times another. Their difference is 12. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 102. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 300. What is the smallest of them?
  27. 27.The sum of two numbers is 94 and their difference is 80. What is the larger number?
  28. 28.One number is 2 times another. Their difference is 13. What is the smaller number?
  29. 29.One number is 3 times another. Their difference is 52. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  31. 31.The sum of two numbers is 32 and their difference is 16. What is the smaller number?
  32. 32.The sum of two numbers is 80 and their difference is 50. What is the larger number?
  33. 33.The sum of two numbers is 143 and their difference is 13. What is the smaller number?
  34. 34.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?
  35. 35.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  38. 38.The sum of two numbers is 89 and their difference is 41. What is the smaller number?
  39. 39.The sum of two numbers is 73 and their difference is 37. What is the larger number?
  40. 40.The sum of two numbers is 49 and their difference is 33. What is the smaller number?

Answer key

  1. 37
  2. 1
  3. 7
  4. 27
  5. 67
  6. 15
  7. 14
  8. 18
  9. 3
  10. 51
  11. 46
  12. 80
  13. 10
  14. 98
  15. 28
  16. 89
  17. 50
  18. 49
  19. 33
  20. 19
  21. 35
  22. 19
  23. 19
  24. 3
  25. 27
  26. 58
  27. 87
  28. 13
  29. 26
  30. 43
  31. 8
  32. 65
  33. 65
  34. 24
  35. 14
  36. 25
  37. 41
  38. 24
  39. 55
  40. 8

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