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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 93 · 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 odd numbers is 45. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  3. 3.The sum of two numbers is 38 and their difference is 4. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  5. 5.One number is 5 times another. Their difference is 60. What is the smaller number?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 78. What is the smaller number?
  11. 11.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?
  12. 12.One number is 5 times another. Their difference is 88. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 177. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  17. 17.The sum of two numbers is 36 and their difference is 14. What is the larger number?
  18. 18.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  19. 19.The sum of two numbers is 107 and their difference is 25. What is the smaller number?
  20. 20.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?
  21. 21.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  22. 22.The sum of 3 consecutive even numbers is 108. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 84. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  26. 26.One number is 3 times another. Their difference is 48. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 3. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  32. 32.The sum of 3 consecutive numbers is 174. What is the largest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 94 and their difference is 88. What is the larger number?
  35. 35.The sum of 4 consecutive numbers is 178. What is the largest of them?
  36. 36.The sum of two numbers is 59 and their difference is 53. What is the larger number?
  37. 37.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 17
  2. 20
  3. 17
  4. 33
  5. 15
  6. 26
  7. 89
  8. 64
  9. 25
  10. 39
  11. 18
  12. 22
  13. 76
  14. 60
  15. 9
  16. 30
  17. 25
  18. 20
  19. 41
  20. 67
  21. 13
  22. 38
  23. 21
  24. 17
  25. 6
  26. 24
  27. 3
  28. 36
  29. 14
  30. 38
  31. 19
  32. 59
  33. 14
  34. 91
  35. 46
  36. 56
  37. 9
  38. 78
  39. 74
  40. 56

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