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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 162 · 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 78. What is the largest of them?
  2. 2.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?
  3. 3.The sum of two numbers is 85 and their difference is 13. What is the larger number?
  4. 4.The sum of two numbers is 182 and their difference is 8. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 96. What is the smaller number?
  6. 6.The sum of two numbers is 29 and their difference is 1. What is the larger number?
  7. 7.One number is 5 times another. Their difference is 52. What is the smaller number?
  8. 8.The sum of two numbers is 126 and their difference is 4. What is the smaller number?
  9. 9.The sum of two numbers is 144 and their difference is 10. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 150. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  14. 14.One number is 2 times another. Their difference is 13. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 142. What is the largest of them?
  16. 16.The sum of 4 consecutive odd numbers is 312. What is the smallest 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 two numbers is 30 and their difference is 28. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.The sum of two numbers is 97 and their difference is 71. What is the larger number?
  21. 21.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  22. 22.One number is 4 times another. Their difference is 99. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 159. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 215. What is the largest of them?
  25. 25.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  27. 27.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?
  28. 28.One number is 3 times another. Their difference is 68. What is the smaller number?
  29. 29.The sum of two numbers is 45 and their difference is 43. What is the smaller number?
  30. 30.The sum of two numbers is 22 and their difference is 8. What is the smaller number?
  31. 31.The sum of two numbers is 129 and their difference is 7. What is the larger number?
  32. 32.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  34. 34.One number is 3 times another. Their difference is 18. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 185. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 111. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 99. What is the largest of them?
  38. 38.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  39. 39.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  40. 40.The sum of 4 consecutive even numbers is 236. What is the smallest of them?

Answer key

  1. 27
  2. 78
  3. 49
  4. 87
  5. 24
  6. 15
  7. 13
  8. 61
  9. 67
  10. 32
  11. 61
  12. 17
  13. 50
  14. 13
  15. 37
  16. 75
  17. 35
  18. 1
  19. 49
  20. 84
  21. 22
  22. 33
  23. 54
  24. 45
  25. 80
  26. 8
  27. 29
  28. 34
  29. 1
  30. 7
  31. 68
  32. 72
  33. 21
  34. 9
  35. 37
  36. 38
  37. 34
  38. 77
  39. 59
  40. 56

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