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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 393 · 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 6 times another. Their difference is 190. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  4. 4.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  8. 8.One number is 3 times another. Their difference is 8. What is the smaller number?
  9. 9.The sum of two numbers is 67 and their difference is 13. What is the smaller number?
  10. 10.One number is 5 times another. Their difference is 140. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  12. 12.The sum of two numbers is 81 and their difference is 41. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  14. 14.One number is 2 times another. Their difference is 3. What is the smaller number?
  15. 15.The sum of two numbers is 65 and their difference is 57. What is the smaller number?
  16. 16.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?
  17. 17.The sum of two numbers is 127 and their difference is 57. What is the larger number?
  18. 18.The sum of 3 consecutive numbers is 72. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 135. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 95. What is the largest of them?
  22. 22.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 86. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  27. 27.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?
  28. 28.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  29. 29.One number is 2 times another. Their difference is 34. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  33. 33.The sum of two numbers is 50 and their difference is 12. What is the larger number?
  34. 34.The sum of 3 consecutive numbers is 66. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 87. What is the smaller number?
  37. 37.The sum of two numbers is 34 and their difference is 4. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 185. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 30. What is the largest of them?

Answer key

  1. 38
  2. 57
  3. 13
  4. 40
  5. 14
  6. 37
  7. 35
  8. 4
  9. 27
  10. 35
  11. 41
  12. 20
  13. 18
  14. 3
  15. 4
  16. 79
  17. 92
  18. 25
  19. 21
  20. 46
  21. 21
  22. 18
  23. 38
  24. 23
  25. 54
  26. 26
  27. 56
  28. 16
  29. 34
  30. 5
  31. 61
  32. 45
  33. 31
  34. 23
  35. 57
  36. 29
  37. 15
  38. 77
  39. 39
  40. 9

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