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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 848 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 3 consecutive numbers is 27. What is the largest of them?
  2. 2.One number is 2 times another. Their difference is 22. What is the smaller number?
  3. 3.The sum of two numbers is 59 and their difference is 33. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 108. What is the largest of them?
  6. 6.One number is 4 times another. Their difference is 12. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 250. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  11. 11.The sum of two numbers is 64 and their difference is 44. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  14. 14.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?
  15. 15.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?
  16. 16.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?
  17. 17.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.The sum of two numbers is 91 and their difference is 19. What is the larger number?
  19. 19.One number is 3 times another. Their difference is 28. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 39. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  22. 22.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  23. 23.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 111. What is the smaller number?
  25. 25.The sum of two numbers is 109 and their difference is 67. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  28. 28.The sum of two numbers is 143 and their difference is 25. What is the larger number?
  29. 29.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  32. 32.One number is 3 times another. Their difference is 8. What is the smaller number?
  33. 33.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?
  34. 34.One number is 2 times another. Their difference is 35. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 30. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 87. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  40. 40.The sum of two numbers is 114 and their difference is 10. What is the smaller number?

Answer key

  1. 10
  2. 22
  3. 46
  4. 38
  5. 37
  6. 4
  7. 40
  8. 52
  9. 12
  10. 55
  11. 10
  12. 57
  13. 47
  14. 89
  15. 79
  16. 18
  17. 69
  18. 55
  19. 14
  20. 39
  21. 46
  22. 58
  23. 29
  24. 37
  25. 21
  26. 47
  27. 5
  28. 84
  29. 16
  30. 78
  31. 61
  32. 4
  33. 26
  34. 35
  35. 6
  36. 75
  37. 24
  38. 30
  39. 21
  40. 52

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