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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 41 · 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 30. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.One number is 3 times another. Their difference is 10. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  8. 8.The sum of two numbers is 20 and their difference is 8. What is the smaller number?
  9. 9.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?
  10. 10.The sum of two numbers is 137 and their difference is 11. What is the smaller number?
  11. 11.The sum of two numbers is 109 and their difference is 65. What is the larger number?
  12. 12.The sum of two numbers is 26 and their difference is 16. What is the smaller number?
  13. 13.The sum of two numbers is 45 and their difference is 35. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 65. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  18. 18.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?
  19. 19.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.The sum of 3 consecutive numbers is 102. What is the largest of them?
  21. 21.One number is 6 times another. Their difference is 45. What is the smaller number?
  22. 22.The sum of two numbers is 57 and their difference is 11. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 144. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  26. 26.The sum of two numbers is 93 and their difference is 85. What is the larger number?
  27. 27.The sum of 3 consecutive numbers is 132. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 250. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  30. 30.One number is 2 times another. Their difference is 18. What is the smaller number?
  31. 31.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?
  32. 32.One number is 5 times another. Their difference is 44. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 111. What is the largest of them?
  34. 34.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  37. 37.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 6. What is the smaller number?
  39. 39.One number is 2 times another. Their difference is 40. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 111. What is the smaller number?

Answer key

  1. 9
  2. 29
  3. 12
  4. 13
  5. 5
  6. 59
  7. 68
  8. 6
  9. 78
  10. 63
  11. 87
  12. 5
  13. 40
  14. 15
  15. 29
  16. 89
  17. 65
  18. 79
  19. 25
  20. 35
  21. 9
  22. 23
  23. 49
  24. 57
  25. 60
  26. 89
  27. 45
  28. 52
  29. 28
  30. 18
  31. 29
  32. 11
  33. 38
  34. 67
  35. 38
  36. 74
  37. 26
  38. 3
  39. 40
  40. 37

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