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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 763 · 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 66 and their difference is 44. What is the larger number?
  2. 2.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  3. 3.The sum of two numbers is 81 and their difference is 53. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 18. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 58. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  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 two numbers is 121 and their difference is 57. What is the larger number?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of 3 consecutive numbers is 147. What is the largest of them?
  14. 14.The sum of two numbers is 51 and their difference is 13. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 30. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  22. 22.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?
  23. 23.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?
  24. 24.The sum of two numbers is 168 and their difference is 24. What is the larger number?
  25. 25.The sum of two numbers is 129 and their difference is 69. What is the smaller number?
  26. 26.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?
  27. 27.One number is 2 times another. Their difference is 14. What is the smaller number?
  28. 28.One number is 3 times another. Their difference is 76. What is the smaller number?
  29. 29.The sum of two numbers is 28 and their difference is 20. What is the larger number?
  30. 30.One number is 6 times another. Their difference is 140. What is the smaller number?
  31. 31.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?
  32. 32.One number is 4 times another. Their difference is 117. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  39. 39.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?
  40. 40.One number is 6 times another. Their difference is 105. What is the smaller number?

Answer key

  1. 55
  2. 49
  3. 14
  4. 9
  5. 5
  6. 29
  7. 35
  8. 59
  9. 57
  10. 89
  11. 78
  12. 67
  13. 50
  14. 19
  15. 23
  16. 9
  17. 19
  18. 38
  19. 37
  20. 69
  21. 50
  22. 59
  23. 79
  24. 96
  25. 30
  26. 46
  27. 14
  28. 38
  29. 24
  30. 28
  31. 34
  32. 39
  33. 17
  34. 63
  35. 22
  36. 89
  37. 75
  38. 24
  39. 39
  40. 21

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