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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 193 · 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).

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  1. 1.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  2. 2.The sum of two numbers is 35 and their difference is 17. What is the smaller number?
  3. 3.The sum of two numbers is 83 and their difference is 5. What is the larger number?
  4. 4.The sum of two numbers is 66 and their difference is 50. What is the larger number?
  5. 5.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  7. 7.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  9. 9.The sum of 5 consecutive numbers is 200. What is the largest of them?
  10. 10.One number is 2 times another. Their difference is 24. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 42. What is the largest of them?
  12. 12.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  13. 13.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?
  14. 14.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  19. 19.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  23. 23.The sum of two numbers is 39 and their difference is 11. What is the larger number?
  24. 24.One number is 3 times another. Their difference is 76. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  26. 26.The sum of two numbers is 55 and their difference is 33. What is the larger number?
  27. 27.One number is 6 times another. Their difference is 130. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  29. 29.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 9. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  34. 34.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?
  35. 35.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  36. 36.One number is 6 times another. Their difference is 185. What is the smaller number?
  37. 37.The sum of two numbers is 137 and their difference is 17. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  39. 39.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?

Answer key

  1. 60
  2. 9
  3. 44
  4. 58
  5. 73
  6. 58
  7. 15
  8. 80
  9. 42
  10. 24
  11. 12
  12. 10
  13. 89
  14. 55
  15. 38
  16. 68
  17. 57
  18. 45
  19. 55
  20. 14
  21. 51
  22. 20
  23. 25
  24. 38
  25. 52
  26. 44
  27. 26
  28. 60
  29. 48
  30. 63
  31. 50
  32. 9
  33. 23
  34. 78
  35. 68
  36. 37
  37. 60
  38. 19
  39. 56
  40. 15

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