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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 765 · 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 two numbers is 19 and their difference is 17. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 153. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of two numbers is 48 and their difference is 2. What is the larger number?
  6. 6.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?
  7. 7.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  8. 8.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 46. What is the smaller number?
  11. 11.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?
  12. 12.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  13. 13.The sum of two numbers is 115 and their difference is 73. What is the larger number?
  14. 14.The sum of 4 consecutive numbers is 214. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  16. 16.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 125. What is the smaller number?
  19. 19.The sum of two numbers is 115 and their difference is 61. What is the smaller number?
  20. 20.The sum of two numbers is 94 and their difference is 14. What is the larger number?
  21. 21.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  23. 23.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?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 165. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  28. 28.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  30. 30.One number is 3 times another. Their difference is 64. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 58. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  35. 35.One number is 2 times another. Their difference is 5. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  39. 39.The sum of two numbers is 107 and their difference is 13. What is the smaller number?
  40. 40.The sum of two numbers is 82 and their difference is 40. What is the smaller number?

Answer key

  1. 1
  2. 52
  3. 10
  4. 89
  5. 25
  6. 69
  7. 27
  8. 57
  9. 13
  10. 23
  11. 79
  12. 19
  13. 94
  14. 55
  15. 59
  16. 48
  17. 33
  18. 25
  19. 27
  20. 54
  21. 69
  22. 12
  23. 67
  24. 78
  25. 35
  26. 46
  27. 31
  28. 34
  29. 44
  30. 32
  31. 22
  32. 16
  33. 21
  34. 20
  35. 5
  36. 73
  37. 45
  38. 8
  39. 47
  40. 21

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