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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 36 · 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 numbers is 18. What is the largest of them?
  2. 2.The sum of two numbers is 184 and their difference is 8. What is the larger number?
  3. 3.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  5. 5.One number is 4 times another. Their difference is 66. What is the smaller number?
  6. 6.One number is 5 times another. Their difference is 124. What is the smaller number?
  7. 7.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?
  8. 8.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?
  9. 9.One number is 4 times another. Their difference is 60. What is the smaller number?
  10. 10.The sum of two numbers is 53 and their difference is 13. What is the larger number?
  11. 11.One number is 3 times another. Their difference is 44. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 78. What is the largest of them?
  13. 13.The sum of two numbers is 143 and their difference is 11. What is the larger number?
  14. 14.The sum of 4 consecutive numbers is 50. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 110. What is the largest of them?
  16. 16.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  17. 17.The sum of two numbers is 14 and their difference is 6. What is the larger number?
  18. 18.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  19. 19.The sum of two numbers is 143 and their difference is 33. What is the larger number?
  20. 20.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  21. 21.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  22. 22.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?
  23. 23.One number is 6 times another. Their difference is 195. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  25. 25.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 183. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 3 consecutive odd numbers is 93. 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 63. What is the number?
  31. 31.The sum of two numbers is 137 and their difference is 53. What is the larger number?
  32. 32.The sum of 4 consecutive numbers is 230. What is the largest of them?
  33. 33.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?
  34. 34.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?
  35. 35.The sum of two numbers is 29 and their difference is 27. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 108. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  38. 38.One number is 5 times another. Their difference is 140. What is the smaller number?
  39. 39.The sum of two numbers is 39 and their difference is 23. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?

Answer key

  1. 7
  2. 96
  3. 51
  4. 50
  5. 22
  6. 31
  7. 36
  8. 19
  9. 20
  10. 33
  11. 22
  12. 27
  13. 77
  14. 14
  15. 24
  16. 17
  17. 10
  18. 8
  19. 88
  20. 60
  21. 11
  22. 67
  23. 39
  24. 11
  25. 80
  26. 62
  27. 81
  28. 12
  29. 29
  30. 29
  31. 95
  32. 59
  33. 89
  34. 59
  35. 1
  36. 37
  37. 16
  38. 35
  39. 8
  40. 28

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