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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 290 · 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 51. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 7. 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 11. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.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?
  6. 6.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?
  7. 7.The sum of two numbers is 73 and their difference is 41. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 226. What is the largest of them?
  9. 9.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  10. 10.The sum of two numbers is 58 and their difference is 30. What is the smaller number?
  11. 11.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?
  12. 12.One number is 3 times another. Their difference is 20. What is the smaller number?
  13. 13.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 250. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  17. 17.One number is 6 times another. Their difference is 40. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  20. 20.The sum of two numbers is 92 and their difference is 10. What is the larger number?
  21. 21.One number is 2 times another. Their difference is 29. What is the smaller number?
  22. 22.The sum of two numbers is 123 and their difference is 51. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  24. 24.The sum of two numbers is 109 and their difference is 11. What is the smaller number?
  25. 25.The sum of two numbers is 22 and their difference is 20. What is the larger number?
  26. 26.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  27. 27.One number is 4 times another. Their difference is 96. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 3. What is the smaller number?
  29. 29.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  30. 30.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?
  31. 31.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  32. 32.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  36. 36.The sum of two numbers is 140 and their difference is 58. What is the larger number?
  37. 37.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?
  38. 38.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?
  39. 39.One number is 4 times another. Their difference is 111. What is the smaller number?
  40. 40.One number is 2 times another. Their difference is 9. What is the smaller number?

Answer key

  1. 19
  2. 10
  3. 34
  4. 47
  5. 59
  6. 15
  7. 16
  8. 58
  9. 39
  10. 14
  11. 78
  12. 10
  13. 80
  14. 52
  15. 49
  16. 38
  17. 8
  18. 28
  19. 41
  20. 51
  21. 29
  22. 36
  23. 59
  24. 49
  25. 21
  26. 48
  27. 32
  28. 3
  29. 7
  30. 13
  31. 68
  32. 63
  33. 21
  34. 41
  35. 30
  36. 99
  37. 29
  38. 12
  39. 37
  40. 9

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