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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 489 · 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 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?
  2. 2.One number is 2 times another. Their difference is 26. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 42. 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.One number is 3 times another. Their difference is 52. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 145. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  13. 13.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?
  14. 14.One number is 3 times another. Their difference is 26. What is the smaller number?
  15. 15.One number is 6 times another. Their difference is 100. What is the smaller number?
  16. 16.The sum of two numbers is 101 and their difference is 89. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 120. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 46. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  22. 22.One number is 2 times another. Their difference is 15. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  24. 24.The sum of two numbers is 85 and their difference is 63. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  28. 28.The sum of two numbers is 40 and their difference is 24. What is the larger number?
  29. 29.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?
  30. 30.The sum of 5 consecutive numbers is 230. What is the largest of them?
  31. 31.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  32. 32.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 54. What is the largest of them?
  34. 34.The sum of two numbers is 158 and their difference is 26. What is the larger number?
  35. 35.The sum of two numbers is 17 and their difference is 5. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  37. 37.The sum of two numbers is 81 and their difference is 61. What is the larger number?
  38. 38.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 50. What is the largest of them?
  40. 40.The sum of two numbers is 177 and their difference is 7. What is the larger number?

Answer key

  1. 79
  2. 26
  3. 16
  4. 89
  5. 26
  6. 19
  7. 29
  8. 56
  9. 19
  10. 16
  11. 28
  12. 25
  13. 37
  14. 13
  15. 20
  16. 6
  17. 26
  18. 53
  19. 13
  20. 46
  21. 22
  22. 15
  23. 68
  24. 11
  25. 26
  26. 15
  27. 13
  28. 32
  29. 59
  30. 48
  31. 24
  32. 16
  33. 19
  34. 92
  35. 6
  36. 47
  37. 71
  38. 58
  39. 12
  40. 92

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