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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 988 · 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 249. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  3. 3.The sum of two numbers is 103 and their difference is 59. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 280. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 20. What is the smaller number?
  8. 8.One number is 6 times another. Their difference is 25. What is the smaller number?
  9. 9.One number is 5 times another. Their difference is 12. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of 3 consecutive numbers is 30. What is the largest of them?
  13. 13.The sum of 4 consecutive even numbers is 124. What is the largest of them?
  14. 14.The sum of two numbers is 119 and their difference is 3. What is the smaller number?
  15. 15.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?
  16. 16.One number is 4 times another. Their difference is 15. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 45. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 129. What is the largest of them?
  21. 21.The sum of two numbers is 46 and their difference is 12. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 57. What is the largest of them?
  23. 23.One number is 6 times another. Their difference is 105. What is the smaller number?
  24. 24.The sum of two numbers is 72 and their difference is 68. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 16. What is the smaller number?
  26. 26.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?
  27. 27.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 150. What is the largest of them?
  29. 29.The sum of 5 consecutive numbers is 115. What is the largest of them?
  30. 30.The sum of two numbers is 100 and their difference is 76. What is the smaller number?
  31. 31.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 260. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 40. What is the smaller number?
  34. 34.The sum of two numbers is 161 and their difference is 13. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  36. 36.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  37. 37.The sum of two numbers is 93 and their difference is 57. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 18. What is the smaller number?
  39. 39.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?
  40. 40.The sum of 5 consecutive numbers is 295. What is the smallest of them?

Answer key

  1. 85
  2. 23
  3. 81
  4. 58
  5. 51
  6. 31
  7. 4
  8. 5
  9. 3
  10. 17
  11. 36
  12. 11
  13. 34
  14. 58
  15. 79
  16. 5
  17. 83
  18. 12
  19. 16
  20. 44
  21. 29
  22. 20
  23. 21
  24. 2
  25. 4
  26. 89
  27. 76
  28. 32
  29. 25
  30. 12
  31. 43
  32. 68
  33. 40
  34. 74
  35. 41
  36. 69
  37. 18
  38. 6
  39. 49
  40. 57

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