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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 198 · 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 48. What is the largest of them?
  2. 2.The sum of two numbers is 45 and their difference is 1. What is the larger number?
  3. 3.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  4. 4.The sum of two numbers is 152 and their difference is 4. What is the larger number?
  5. 5.The sum of two numbers is 82 and their difference is 44. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 155. What is the largest of them?
  7. 7.The sum of two numbers is 54 and their difference is 50. What is the smaller number?
  8. 8.The sum of two numbers is 72 and their difference is 44. What is the larger number?
  9. 9.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?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  11. 11.The sum of two numbers is 89 and their difference is 13. What is the smaller number?
  12. 12.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  13. 13.One number is 4 times another. Their difference is 21. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  15. 15.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  16. 16.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  17. 17.The sum of two numbers is 71 and their difference is 19. What is the larger number?
  18. 18.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 36. What is the largest of them?
  21. 21.The sum of two numbers is 45 and their difference is 15. What is the larger number?
  22. 22.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 135. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 111. What is the smaller number?
  25. 25.The sum of two numbers is 50 and their difference is 6. What is the smaller number?
  26. 26.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 123. What is the largest of them?
  28. 28.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  31. 31.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 20. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  36. 36.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 90. What is the smaller number?
  40. 40.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?

Answer key

  1. 17
  2. 23
  3. 53
  4. 78
  5. 19
  6. 33
  7. 2
  8. 58
  9. 38
  10. 39
  11. 38
  12. 80
  13. 7
  14. 83
  15. 37
  16. 71
  17. 45
  18. 7
  19. 10
  20. 13
  21. 30
  22. 35
  23. 46
  24. 37
  25. 22
  26. 51
  27. 42
  28. 72
  29. 48
  30. 18
  31. 7
  32. 19
  33. 18
  34. 20
  35. 35
  36. 63
  37. 57
  38. 62
  39. 18
  40. 23

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