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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 83 · 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 4 consecutive odd numbers is 64. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 162. What is the largest of them?
  3. 3.The sum of two numbers is 92 and their difference is 28. What is the larger number?
  4. 4.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.One number is 4 times another. Their difference is 84. What is the smaller number?
  6. 6.One number is 5 times another. Their difference is 24. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 87. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 120. What is the largest of them?
  10. 10.The sum of two numbers is 86 and their difference is 84. What is the larger number?
  11. 11.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  12. 12.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 33. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  15. 15.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?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 54. What is the smaller number?
  18. 18.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?
  19. 19.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?
  20. 20.The sum of two numbers is 68 and their difference is 2. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  22. 22.The sum of two numbers is 93 and their difference is 85. What is the larger number?
  23. 23.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?
  24. 24.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  25. 25.One number is 2 times another. Their difference is 11. What is the smaller number?
  26. 26.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?
  27. 27.The sum of two numbers is 44 and their difference is 42. What is the larger number?
  28. 28.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?
  29. 29.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  30. 30.The sum of two numbers is 58 and their difference is 34. What is the larger number?
  31. 31.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  32. 32.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?
  33. 33.One number is 5 times another. Their difference is 12. What is the smaller number?
  34. 34.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?
  35. 35.The sum of two numbers is 163 and their difference is 9. What is the larger number?
  36. 36.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  37. 37.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 165. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  40. 40.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?

Answer key

  1. 13
  2. 55
  3. 60
  4. 24
  5. 28
  6. 6
  7. 29
  8. 17
  9. 41
  10. 85
  11. 18
  12. 82
  13. 12
  14. 14
  15. 45
  16. 67
  17. 27
  18. 39
  19. 79
  20. 33
  21. 19
  22. 89
  23. 89
  24. 56
  25. 11
  26. 47
  27. 43
  28. 34
  29. 59
  30. 46
  31. 46
  32. 37
  33. 3
  34. 12
  35. 86
  36. 61
  37. 59
  38. 56
  39. 27
  40. 68

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