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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 411 · 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 72. What is the largest of them?
  2. 2.The sum of two numbers is 26 and their difference is 18. What is the larger number?
  3. 3.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  4. 4.The sum of two numbers is 69 and their difference is 23. What is the larger number?
  5. 5.The sum of two numbers is 82 and their difference is 72. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 4 consecutive numbers is 110. What is the largest of them?
  8. 8.One number is 6 times another. Their difference is 185. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 70. What is the largest of them?
  10. 10.The sum of two numbers is 64 and their difference is 48. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 26. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.One number is 5 times another. Their difference is 72. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 122. What is the largest of them?
  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 digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.One number is 4 times another. Their difference is 24. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  21. 21.The sum of two numbers is 124 and their difference is 46. What is the larger number?
  22. 22.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  23. 23.One number is 5 times another. Their difference is 20. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  26. 26.One number is 4 times another. Their difference is 54. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 27. What is the largest of them?
  28. 28.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?
  29. 29.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?
  30. 30.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 142. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  33. 33.The sum of two numbers is 50 and their difference is 10. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 18. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?

Answer key

  1. 26
  2. 22
  3. 53
  4. 46
  5. 5
  6. 79
  7. 29
  8. 37
  9. 16
  10. 8
  11. 16
  12. 8
  13. 46
  14. 18
  15. 27
  16. 32
  17. 69
  18. 15
  19. 8
  20. 28
  21. 85
  22. 24
  23. 5
  24. 7
  25. 17
  26. 18
  27. 10
  28. 68
  29. 58
  30. 64
  31. 37
  32. 16
  33. 20
  34. 36
  35. 45
  36. 6
  37. 67
  38. 22
  39. 9
  40. 57

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