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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 736 · 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 even numbers is 90. What is the smallest of them?
  2. 2.The sum of two numbers is 103 and their difference is 23. What is the larger number?
  3. 3.The sum of two numbers is 85 and their difference is 5. What is the larger number?
  4. 4.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  6. 6.The sum of two numbers is 27 and their difference is 5. What is the larger number?
  7. 7.The sum of two numbers is 85 and their difference is 1. What is the larger number?
  8. 8.The sum of two numbers is 159 and their difference is 31. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 31 and their difference is 25. What is the smaller number?
  12. 12.One number is 6 times another. Their difference is 15. What is the smaller number?
  13. 13.The sum of two numbers is 114 and their difference is 44. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  16. 16.The sum of two numbers is 27 and their difference is 15. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 48 and their difference is 6. What is the larger number?
  20. 20.The sum of two numbers is 107 and their difference is 17. What is the larger number?
  21. 21.The sum of two numbers is 109 and their difference is 57. What is the larger number?
  22. 22.One number is 3 times another. Their difference is 44. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 18. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 62. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  27. 27.The sum of two numbers is 44 and their difference is 28. What is the larger number?
  28. 28.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  29. 29.The sum of two numbers is 158 and their difference is 16. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  32. 32.The sum of two numbers is 188 and their difference is 8. What is the larger number?
  33. 33.One number is 5 times another. Their difference is 116. What is the smaller number?
  34. 34.The sum of two numbers is 121 and their difference is 25. What is the smaller number?
  35. 35.The sum of two numbers is 85 and their difference is 23. What is the larger number?
  36. 36.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  37. 37.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?
  38. 38.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?
  39. 39.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?
  40. 40.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?

Answer key

  1. 28
  2. 63
  3. 45
  4. 51
  5. 10
  6. 16
  7. 43
  8. 64
  9. 35
  10. 89
  11. 3
  12. 3
  13. 35
  14. 12
  15. 48
  16. 6
  17. 36
  18. 35
  19. 27
  20. 62
  21. 83
  22. 22
  23. 6
  24. 5
  25. 17
  26. 17
  27. 36
  28. 36
  29. 71
  30. 49
  31. 43
  32. 98
  33. 29
  34. 48
  35. 54
  36. 71
  37. 16
  38. 68
  39. 69
  40. 17

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