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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 114 · 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 17 and their difference is 7. What is the larger number?
  2. 2.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 18. What is the smaller number?
  4. 4.The sum of two numbers is 65 and their difference is 25. What is the larger number?
  5. 5.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?
  6. 6.The sum of two numbers is 39 and their difference is 7. What is the larger number?
  7. 7.The sum of 3 consecutive numbers is 126. What is the largest of them?
  8. 8.One number is 4 times another. Their difference is 21. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 265. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  11. 11.One number is 2 times another. Their difference is 34. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  14. 14.The sum of two numbers is 51 and their difference is 19. What is the larger number?
  15. 15.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 196. What is the smallest of them?
  17. 17.The sum of two numbers is 72 and their difference is 46. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  20. 20.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  22. 22.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 242. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  28. 28.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?
  29. 29.One number is 2 times another. Their difference is 28. What is the smaller number?
  30. 30.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?
  31. 31.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?
  32. 32.The sum of 5 consecutive numbers is 105. 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.The sum of two numbers is 67 and their difference is 47. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  37. 37.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?
  38. 38.One number is 5 times another. Their difference is 160. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  40. 40.The sum of 3 consecutive odd numbers is 147. What is the largest of them?

Answer key

  1. 12
  2. 28
  3. 9
  4. 45
  5. 16
  6. 23
  7. 43
  8. 7
  9. 55
  10. 76
  11. 34
  12. 62
  13. 59
  14. 35
  15. 13
  16. 46
  17. 13
  18. 16
  19. 14
  20. 76
  21. 31
  22. 79
  23. 33
  24. 56
  25. 62
  26. 72
  27. 55
  28. 45
  29. 28
  30. 57
  31. 49
  32. 19
  33. 21
  34. 10
  35. 47
  36. 69
  37. 38
  38. 40
  39. 27
  40. 51

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