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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 348 · 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 odd numbers is 57. What is the largest of them?
  2. 2.The sum of two numbers is 153 and their difference is 27. What is the larger number?
  3. 3.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  4. 4.One number is 5 times another. Their difference is 72. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  6. 6.One number is 6 times another. Their difference is 85. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  8. 8.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 142. What is the largest of them?
  11. 11.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?
  12. 12.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?
  13. 13.One number is 4 times another. Their difference is 81. What is the smaller number?
  14. 14.One number is 6 times another. Their difference is 45. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 5. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  17. 17.One number is 4 times another. Their difference is 57. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  21. 21.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of two numbers is 15 and their difference is 5. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 138. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  26. 26.The sum of two numbers is 34 and their difference is 8. What is the larger number?
  27. 27.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?
  28. 28.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 226. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  32. 32.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?
  33. 33.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?
  34. 34.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  35. 35.The sum of two numbers is 69 and their difference is 7. What is the larger number?
  36. 36.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?
  37. 37.The sum of two numbers is 108 and their difference is 38. What is the smaller number?
  38. 38.The sum of 4 consecutive numbers is 198. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 87. What is the smallest of them?

Answer key

  1. 21
  2. 90
  3. 71
  4. 18
  5. 22
  6. 17
  7. 69
  8. 68
  9. 31
  10. 37
  11. 59
  12. 12
  13. 27
  14. 9
  15. 5
  16. 26
  17. 19
  18. 26
  19. 8
  20. 43
  21. 56
  22. 5
  23. 36
  24. 25
  25. 20
  26. 21
  27. 13
  28. 11
  29. 79
  30. 58
  31. 35
  32. 89
  33. 27
  34. 41
  35. 38
  36. 45
  37. 35
  38. 51
  39. 7
  40. 28

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