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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 537 · 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 sum of 5 consecutive numbers is 275. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  4. 4.One number is 6 times another. Their difference is 200. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  7. 7.The sum of 5 consecutive numbers is 140. What is the largest of them?
  8. 8.The sum of two numbers is 15 and their difference is 9. What is the smaller number?
  9. 9.One number is 4 times another. Their difference is 9. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  11. 11.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?
  12. 12.The sum of two numbers is 116 and their difference is 6. What is the larger number?
  13. 13.The sum of two numbers is 19 and their difference is 13. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 156. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  16. 16.One number is 3 times another. Their difference is 36. What is the smaller number?
  17. 17.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  18. 18.The sum of two numbers is 44 and their difference is 8. What is the smaller number?
  19. 19.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 22. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 45. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  24. 24.The sum of two numbers is 57 and their difference is 53. What is the smaller number?
  25. 25.The sum of two numbers is 157 and their difference is 19. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  28. 28.The sum of two numbers is 51 and their difference is 7. What is the larger number?
  29. 29.The sum of two numbers is 161 and their difference is 3. What is the smaller number?
  30. 30.One number is 4 times another. Their difference is 57. What is the smaller number?
  31. 31.The sum of two numbers is 25 and their difference is 9. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 206. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 54. What is the smaller number?
  34. 34.The sum of two numbers is 89 and their difference is 7. What is the larger number?
  35. 35.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  36. 36.The sum of two numbers is 44 and their difference is 6. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 144. What is the largest of them?
  40. 40.The sum of two numbers is 49 and their difference is 31. What is the larger number?

Answer key

  1. 57
  2. 15
  3. 55
  4. 40
  5. 7
  6. 18
  7. 30
  8. 3
  9. 3
  10. 84
  11. 89
  12. 61
  13. 3
  14. 53
  15. 16
  16. 18
  17. 29
  18. 18
  19. 54
  20. 11
  21. 11
  22. 15
  23. 10
  24. 2
  25. 69
  26. 12
  27. 13
  28. 29
  29. 79
  30. 19
  31. 8
  32. 53
  33. 27
  34. 48
  35. 67
  36. 19
  37. 41
  38. 21
  39. 49
  40. 40

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