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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 359 · 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 4 consecutive numbers is 86. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 12. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  5. 5.The sum of two numbers is 59 and their difference is 43. What is the smaller number?
  6. 6.One number is 2 times another. Their difference is 16. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  9. 9.The sum of two numbers is 31 and their difference is 5. What is the larger number?
  10. 10.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  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 50 and their difference is 10. What is the larger number?
  13. 13.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 105. What is the largest of them?
  16. 16.The sum of 5 consecutive numbers is 205. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  19. 19.The sum of two numbers is 120 and their difference is 14. What is the larger number?
  20. 20.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  21. 21.One number is 5 times another. Their difference is 92. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  23. 23.The sum of two numbers is 73 and their difference is 41. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 78. What is the smaller number?
  25. 25.The sum of two numbers is 58 and their difference is 46. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 102. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  28. 28.The sum of two numbers is 62 and their difference is 26. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 44. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 13. What is the smaller number?
  32. 32.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 15. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  35. 35.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  38. 38.One number is 5 times another. Their difference is 16. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  40. 40.The sum of two numbers is 126 and their difference is 18. What is the smaller number?

Answer key

  1. 23
  2. 24
  3. 6
  4. 68
  5. 8
  6. 16
  7. 58
  8. 18
  9. 18
  10. 14
  11. 89
  12. 30
  13. 26
  14. 29
  15. 36
  16. 43
  17. 69
  18. 27
  19. 67
  20. 13
  21. 23
  22. 59
  23. 16
  24. 39
  25. 6
  26. 35
  27. 79
  28. 18
  29. 56
  30. 11
  31. 13
  32. 42
  33. 15
  34. 23
  35. 10
  36. 51
  37. 49
  38. 4
  39. 18
  40. 54

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