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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 396 · 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 87 and their difference is 23. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 48. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  4. 4.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  5. 5.One number is 6 times another. Their difference is 175. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 183. What is the largest of them?
  7. 7.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?
  8. 8.One number is 3 times another. Their difference is 80. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  11. 11.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 260. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  14. 14.One number is 2 times another. Their difference is 10. What is the smaller number?
  15. 15.The sum of two numbers is 170 and their difference is 8. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  17. 17.The sum of two numbers is 57 and their difference is 19. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 68. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 138. What is the largest of them?
  20. 20.The sum of two numbers is 92 and their difference is 16. What is the larger number?
  21. 21.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?
  22. 22.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  25. 25.The sum of two numbers is 27 and their difference is 3. What is the larger number?
  26. 26.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  27. 27.The sum of two numbers is 109 and their difference is 53. What is the larger number?
  28. 28.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 21. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  32. 32.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 82. What is the largest of them?
  37. 37.The sum of two numbers is 93 and their difference is 47. What is the larger number?
  38. 38.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?
  39. 39.The sum of two numbers is 71 and their difference is 21. What is the smaller number?
  40. 40.The sum of two numbers is 19 and their difference is 9. What is the smaller number?

Answer key

  1. 32
  2. 24
  3. 42
  4. 36
  5. 35
  6. 62
  7. 14
  8. 40
  9. 9
  10. 59
  11. 22
  12. 54
  13. 13
  14. 10
  15. 81
  16. 59
  17. 19
  18. 34
  19. 36
  20. 54
  21. 79
  22. 51
  23. 24
  24. 29
  25. 15
  26. 47
  27. 81
  28. 37
  29. 8
  30. 26
  31. 59
  32. 66
  33. 17
  34. 41
  35. 53
  36. 22
  37. 70
  38. 59
  39. 25
  40. 5

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