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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 752 · 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 81. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  3. 3.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 5 consecutive numbers is 125. What is the largest of them?
  6. 6.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  7. 7.The sum of two numbers is 38 and their difference is 14. What is the larger number?
  8. 8.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  10. 10.One number is 6 times another. Their difference is 115. What is the smaller number?
  11. 11.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?
  12. 12.One number is 2 times another. Their difference is 35. What is the smaller number?
  13. 13.The sum of two numbers is 30 and their difference is 28. What is the larger number?
  14. 14.The sum of two numbers is 20 and their difference is 16. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  16. 16.The sum of two numbers is 99 and their difference is 41. What is the larger number?
  17. 17.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  18. 18.The sum of two numbers is 75 and their difference is 9. What is the smaller number?
  19. 19.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?
  20. 20.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?
  21. 21.The sum of 4 consecutive numbers is 234. What is the largest of them?
  22. 22.One number is 2 times another. Their difference is 8. What is the smaller number?
  23. 23.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?
  24. 24.The sum of two numbers is 35 and their difference is 21. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 144. What is the largest of them?
  27. 27.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  29. 29.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  30. 30.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?
  31. 31.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  32. 32.The sum of two numbers is 21 and their difference is 7. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 57. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 145. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 195. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  39. 39.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  40. 40.The sum of 3 consecutive odd numbers is 57. What is the largest of them?

Answer key

  1. 25
  2. 15
  3. 30
  4. 89
  5. 27
  6. 78
  7. 26
  8. 8
  9. 32
  10. 23
  11. 45
  12. 35
  13. 29
  14. 2
  15. 53
  16. 70
  17. 60
  18. 33
  19. 78
  20. 56
  21. 60
  22. 8
  23. 28
  24. 7
  25. 11
  26. 49
  27. 80
  28. 17
  29. 77
  30. 39
  31. 35
  32. 7
  33. 13
  34. 19
  35. 29
  36. 41
  37. 6
  38. 85
  39. 37
  40. 21

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