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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 247 · 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 54. What is the largest of them?
  2. 2.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  3. 3.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?
  4. 4.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  7. 7.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  9. 9.The sum of two numbers is 67 and their difference is 45. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of 4 consecutive numbers is 98. What is the largest of them?
  15. 15.The sum of two numbers is 32 and their difference is 6. What is the smaller number?
  16. 16.The sum of two numbers is 79 and their difference is 57. What is the larger number?
  17. 17.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  18. 18.The sum of two numbers is 149 and their difference is 3. What is the larger number?
  19. 19.The sum of 3 consecutive numbers is 51. What is the largest of them?
  20. 20.One number is 2 times another. Their difference is 8. What is the smaller number?
  21. 21.The sum of two numbers is 35 and their difference is 23. What is the larger number?
  22. 22.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  23. 23.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?
  24. 24.One number is 4 times another. Their difference is 114. What is the smaller number?
  25. 25.The sum of two numbers is 114 and their difference is 78. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 74 and their difference is 26. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 117. What is the smallest 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.One number is 3 times another. Their difference is 14. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  33. 33.The sum of two numbers is 59 and their difference is 7. What is the larger number?
  34. 34.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 16. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 117. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  39. 39.The sum of two numbers is 98 and their difference is 48. What is the larger number?
  40. 40.The sum of 5 consecutive numbers is 85. What is the largest of them?

Answer key

  1. 20
  2. 34
  3. 89
  4. 7
  5. 69
  6. 72
  7. 25
  8. 17
  9. 11
  10. 14
  11. 13
  12. 26
  13. 14
  14. 26
  15. 13
  16. 68
  17. 5
  18. 76
  19. 18
  20. 8
  21. 29
  22. 66
  23. 46
  24. 38
  25. 18
  26. 41
  27. 58
  28. 24
  29. 37
  30. 78
  31. 7
  32. 38
  33. 33
  34. 49
  35. 8
  36. 40
  37. 33
  38. 34
  39. 73
  40. 19

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