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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 191 · 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 159. What is the largest of them?
  2. 2.One number is 2 times another. Their difference is 32. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 34. What is the largest of them?
  4. 4.The sum of two numbers is 143 and their difference is 1. What is the smaller number?
  5. 5.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?
  6. 6.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?
  7. 7.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  8. 8.One number is 6 times another. Their difference is 155. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 90. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 50. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  12. 12.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  13. 13.One number is 2 times another. Their difference is 30. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  15. 15.The sum of two numbers is 52 and their difference is 6. What is the smaller number?
  16. 16.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?
  17. 17.The sum of two numbers is 69 and their difference is 13. What is the larger number?
  18. 18.The sum of two numbers is 101 and their difference is 63. What is the smaller number?
  19. 19.One number is 3 times another. Their difference is 8. What is the smaller number?
  20. 20.The sum of two numbers is 105 and their difference is 75. What is the smaller number?
  21. 21.One number is 3 times another. Their difference is 62. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 160. What is the smaller number?
  24. 24.The sum of two numbers is 125 and their difference is 13. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 65. What is the largest of them?
  29. 29.One number is 2 times another. Their difference is 8. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 145. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 180. What is the largest of them?
  32. 32.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?
  33. 33.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  34. 34.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?
  35. 35.One number is 4 times another. Their difference is 42. What is the smaller number?
  36. 36.The sum of two numbers is 149 and their difference is 5. What is the larger number?
  37. 37.The sum of 3 consecutive numbers is 57. What is the largest of them?
  38. 38.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  39. 39.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  40. 40.One number is 2 times another. Their difference is 25. What is the smaller number?

Answer key

  1. 55
  2. 32
  3. 10
  4. 71
  5. 57
  6. 78
  7. 39
  8. 31
  9. 18
  10. 14
  11. 19
  12. 71
  13. 30
  14. 27
  15. 23
  16. 38
  17. 41
  18. 19
  19. 4
  20. 15
  21. 31
  22. 79
  23. 40
  24. 56
  25. 46
  26. 79
  27. 26
  28. 15
  29. 8
  30. 29
  31. 61
  32. 12
  33. 44
  34. 19
  35. 14
  36. 77
  37. 20
  38. 42
  39. 23
  40. 25

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