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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 295 · 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 117. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 105. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 45. What is the smallest 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 120. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 108 and their difference is 16. What is the larger number?
  8. 8.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  10. 10.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 44. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  13. 13.One number is 3 times another. Their difference is 66. What is the smaller number?
  14. 14.The sum of two numbers is 118 and their difference is 10. What is the larger number?
  15. 15.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?
  16. 16.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?
  17. 17.The sum of two numbers is 75 and their difference is 45. What is the larger number?
  18. 18.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.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?
  20. 20.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  22. 22.The sum of 5 consecutive numbers is 295. What is the largest of them?
  23. 23.The sum of two numbers is 51 and their difference is 41. What is the larger number?
  24. 24.The sum of 3 consecutive numbers is 84. What is the largest of them?
  25. 25.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?
  26. 26.The sum of 4 consecutive odd numbers is 256. What is the smallest of them?
  27. 27.The sum of two numbers is 101 and their difference is 47. What is the larger number?
  28. 28.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 33. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 165. What is the smaller number?
  31. 31.One number is 6 times another. Their difference is 60. What is the smaller number?
  32. 32.The sum of two numbers is 16 and their difference is 6. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 141. What is the largest of them?
  34. 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  35. 35.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  37. 37.One number is 3 times another. Their difference is 52. What is the smaller number?
  38. 38.The sum of two numbers is 129 and their difference is 21. What is the larger number?
  39. 39.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 134. What is the smallest of them?

Answer key

  1. 37
  2. 37
  3. 14
  4. 89
  5. 22
  6. 78
  7. 62
  8. 69
  9. 57
  10. 48
  11. 22
  12. 53
  13. 33
  14. 64
  15. 47
  16. 13
  17. 60
  18. 37
  19. 28
  20. 20
  21. 50
  22. 61
  23. 46
  24. 29
  25. 67
  26. 61
  27. 74
  28. 45
  29. 33
  30. 33
  31. 12
  32. 11
  33. 48
  34. 46
  35. 70
  36. 68
  37. 26
  38. 75
  39. 65
  40. 32

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