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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 592 · 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 62 and their difference is 48. What is the larger number?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 129 and their difference is 55. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  11. 11.One number is 4 times another. Their difference is 105. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  13. 13.The sum of two numbers is 125 and their difference is 67. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 202. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 18. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 245. What is the largest of them?
  18. 18.One number is 5 times another. Their difference is 100. What is the smaller number?
  19. 19.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?
  20. 20.The sum of two numbers is 130 and their difference is 6. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  22. 22.One number is 6 times another. Their difference is 190. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  26. 26.The sum of two numbers is 165 and their difference is 31. What is the smaller number?
  27. 27.The sum of two numbers is 14 and their difference is 8. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 40. What is the smaller number?
  31. 31.The sum of two numbers is 101 and their difference is 43. What is the larger number?
  32. 32.The sum of 3 consecutive numbers is 63. What is the largest of them?
  33. 33.One number is 6 times another. Their difference is 120. What is the smaller number?
  34. 34.The sum of two numbers is 82 and their difference is 4. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  37. 37.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.The sum of 5 consecutive numbers is 65. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?

Answer key

  1. 55
  2. 68
  3. 36
  4. 16
  5. 21
  6. 79
  7. 37
  8. 45
  9. 7
  10. 37
  11. 35
  12. 23
  13. 29
  14. 52
  15. 58
  16. 6
  17. 51
  18. 25
  19. 89
  20. 62
  21. 30
  22. 38
  23. 78
  24. 46
  25. 19
  26. 67
  27. 3
  28. 32
  29. 40
  30. 10
  31. 72
  32. 22
  33. 24
  34. 39
  35. 17
  36. 54
  37. 40
  38. 16
  39. 15
  40. 25

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