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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 231 · 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 198. What is the smallest of them?
  2. 2.One number is 3 times another. Their difference is 34. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 225. What is the largest of them?
  4. 4.The sum of two numbers is 55 and their difference is 1. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  6. 6.The sum of two numbers is 89 and their difference is 55. What is the smaller number?
  7. 7.The sum of two numbers is 56 and their difference is 14. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  10. 10.One number is 6 times another. Their difference is 45. 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 two numbers is 50 and their difference is 38. What is the larger number?
  13. 13.One number is 3 times another. Their difference is 46. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 34. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  16. 16.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  17. 17.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.The sum of 3 consecutive numbers is 180. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 245. What is the largest of them?
  20. 20.One number is 3 times another. Their difference is 36. What is the smaller number?
  21. 21.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?
  22. 22.The sum of two numbers is 23 and their difference is 19. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 270. What is the largest of them?
  24. 24.The sum of two numbers is 124 and their difference is 10. What is the larger number?
  25. 25.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?
  26. 26.One number is 5 times another. Their difference is 40. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  28. 28.One number is 5 times another. Their difference is 68. What is the smaller number?
  29. 29.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?
  30. 30.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive numbers is 135. What is the largest of them?
  34. 34.One number is 2 times another. Their difference is 18. What is the smaller number?
  35. 35.One number is 4 times another. Their difference is 93. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 78. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.The sum of two numbers is 170 and their difference is 2. What is the smaller number?
  40. 40.The sum of 3 consecutive numbers is 69. What is the smallest of them?

Answer key

  1. 64
  2. 17
  3. 47
  4. 27
  5. 82
  6. 17
  7. 21
  8. 49
  9. 35
  10. 9
  11. 79
  12. 44
  13. 23
  14. 34
  15. 30
  16. 20
  17. 35
  18. 61
  19. 51
  20. 18
  21. 56
  22. 2
  23. 56
  24. 67
  25. 89
  26. 10
  27. 39
  28. 17
  29. 78
  30. 68
  31. 54
  32. 38
  33. 46
  34. 18
  35. 31
  36. 47
  37. 26
  38. 47
  39. 84
  40. 22

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