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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 616 · 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 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?
  2. 2.The sum of 5 consecutive numbers is 300. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 42. What is the largest of them?
  6. 6.The sum of two numbers is 75 and their difference is 7. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  10. 10.The sum of two numbers is 29 and their difference is 21. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  12. 12.The sum of two numbers is 139 and their difference is 9. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 72. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  15. 15.The sum of two numbers is 55 and their difference is 21. What is the smaller number?
  16. 16.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?
  17. 17.One number is 2 times another. Their difference is 38. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 135. What is the largest of them?
  19. 19.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  21. 21.The sum of two numbers is 143 and their difference is 25. What is the larger number?
  22. 22.The sum of 4 consecutive numbers is 130. What is the largest of them?
  23. 23.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 123. What is the largest of them?
  25. 25.The sum of 4 consecutive numbers is 26. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  29. 29.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?
  30. 30.One number is 2 times another. Their difference is 7. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  32. 32.One number is 4 times another. Their difference is 60. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 50. What is the largest of them?
  35. 35.The sum of two numbers is 147 and their difference is 51. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 168. What is the largest of them?

Answer key

  1. 25
  2. 62
  3. 60
  4. 27
  5. 12
  6. 34
  7. 67
  8. 19
  9. 29
  10. 4
  11. 57
  12. 65
  13. 24
  14. 21
  15. 17
  16. 24
  17. 38
  18. 46
  19. 20
  20. 26
  21. 84
  22. 34
  23. 48
  24. 42
  25. 8
  26. 18
  27. 35
  28. 17
  29. 35
  30. 7
  31. 37
  32. 20
  33. 41
  34. 14
  35. 48
  36. 43
  37. 29
  38. 70
  39. 6
  40. 57

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