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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 412 · 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 89 and their difference is 45. What is the smaller number?
  2. 2.The sum of two numbers is 68 and their difference is 32. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  4. 4.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  6. 6.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 170. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 78. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 30. What is the largest of them?
  11. 11.The sum of two numbers is 59 and their difference is 31. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  13. 13.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  14. 14.The sum of two numbers is 125 and their difference is 71. What is the larger number?
  15. 15.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 3 consecutive numbers is 135. What is the largest of them?
  18. 18.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  19. 19.The sum of two numbers is 46 and their difference is 12. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of two numbers is 95 and their difference is 27. What is the smaller number?
  23. 23.One number is 5 times another. Their difference is 60. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  27. 27.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?
  28. 28.One number is 6 times another. Their difference is 90. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  30. 30.The sum of two numbers is 131 and their difference is 1. What is the larger number?
  31. 31.The sum of 4 consecutive numbers is 126. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  33. 33.The sum of two numbers is 153 and their difference is 43. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  35. 35.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?
  36. 36.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?
  37. 37.The sum of two numbers is 120 and their difference is 62. What is the smaller number?
  38. 38.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?
  39. 39.The sum of two numbers is 21 and their difference is 3. What is the larger number?
  40. 40.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?

Answer key

  1. 22
  2. 18
  3. 8
  4. 19
  5. 23
  6. 23
  7. 44
  8. 36
  9. 27
  10. 11
  11. 14
  12. 83
  13. 42
  14. 98
  15. 53
  16. 69
  17. 46
  18. 27
  19. 17
  20. 11
  21. 67
  22. 34
  23. 15
  24. 68
  25. 69
  26. 43
  27. 12
  28. 18
  29. 13
  30. 66
  31. 33
  32. 12
  33. 98
  34. 63
  35. 13
  36. 57
  37. 29
  38. 79
  39. 12
  40. 39

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