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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 277 · 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 two numbers is 24 and their difference is 10. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 39. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.The sum of two numbers is 107 and their difference is 19. What is the larger number?
  6. 6.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  7. 7.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  8. 8.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.The sum of 5 consecutive numbers is 105. What is the largest of them?
  10. 10.One number is 5 times another. Their difference is 112. What is the smaller number?
  11. 11.The sum of two numbers is 79 and their difference is 43. What is the larger number?
  12. 12.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  13. 13.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?
  14. 14.One number is 6 times another. Their difference is 90. What is the smaller number?
  15. 15.One number is 4 times another. Their difference is 81. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  17. 17.The sum of two numbers is 46 and their difference is 26. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 32. What is the smaller number?
  19. 19.The sum of two numbers is 21 and their difference is 7. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  21. 21.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?
  22. 22.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  23. 23.One number is 5 times another. Their difference is 84. What is the smaller number?
  24. 24.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?
  25. 25.One number is 6 times another. Their difference is 15. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 42. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  28. 28.The sum of two numbers is 105 and their difference is 29. What is the smaller number?
  29. 29.One number is 6 times another. Their difference is 70. What is the smaller number?
  30. 30.The sum of two numbers is 90 and their difference is 30. What is the larger number?
  31. 31.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 28. What is the smaller number?
  33. 33.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?
  34. 34.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?
  35. 35.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  36. 36.The sum of two numbers is 92 and their difference is 62. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  39. 39.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?

Answer key

  1. 7
  2. 14
  3. 6
  4. 48
  5. 63
  6. 14
  7. 52
  8. 25
  9. 23
  10. 28
  11. 61
  12. 41
  13. 79
  14. 18
  15. 27
  16. 57
  17. 10
  18. 32
  19. 7
  20. 71
  21. 89
  22. 24
  23. 21
  24. 26
  25. 3
  26. 14
  27. 19
  28. 38
  29. 14
  30. 60
  31. 41
  32. 7
  33. 56
  34. 28
  35. 34
  36. 15
  37. 33
  38. 16
  39. 41
  40. 43

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