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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 61 · 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 4 times another. Their difference is 87. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  3. 3.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 180. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 135. What is the largest of them?
  6. 6.The sum of two numbers is 49 and their difference is 19. What is the smaller number?
  7. 7.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?
  8. 8.The sum of two numbers is 49 and their difference is 35. What is the smaller number?
  9. 9.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The sum of two numbers is 68 and their difference is 60. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  12. 12.One number is 6 times another. Their difference is 55. What is the smaller number?
  13. 13.The sum of two numbers is 173 and their difference is 15. What is the larger number?
  14. 14.One number is 2 times another. Their difference is 11. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  16. 16.The sum of two numbers is 119 and their difference is 39. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 30. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  21. 21.One number is 5 times another. Their difference is 48. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 75. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 135. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 81. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  29. 29.One number is 5 times another. Their difference is 108. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 310. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 275. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  33. 33.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 124 and their difference is 12. What is the larger number?
  37. 37.One number is 5 times another. Their difference is 112. What is the smaller number?
  38. 38.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?
  39. 39.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 38. What is the smallest of them?

Answer key

  1. 29
  2. 53
  3. 23
  4. 61
  5. 29
  6. 15
  7. 79
  8. 7
  9. 23
  10. 4
  11. 12
  12. 11
  13. 94
  14. 11
  15. 59
  16. 40
  17. 15
  18. 69
  19. 68
  20. 10
  21. 12
  22. 56
  23. 15
  24. 7
  25. 46
  26. 65
  27. 28
  28. 56
  29. 27
  30. 64
  31. 57
  32. 39
  33. 55
  34. 12
  35. 39
  36. 68
  37. 28
  38. 45
  39. 77
  40. 8

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