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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 979 · 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).

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  1. 1.One number is 2 times another. Their difference is 19. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  3. 3.One number is 6 times another. Their difference is 55. What is the smaller number?
  4. 4.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?
  5. 5.The sum of two numbers is 30 and their difference is 10. What is the larger number?
  6. 6.The sum of 3 consecutive numbers is 18. What is the largest of them?
  7. 7.The sum of 4 consecutive numbers is 114. What is the largest 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 9. What is the number?
  9. 9.One number is 6 times another. Their difference is 75. What is the smaller number?
  10. 10.The sum of two numbers is 77 and their difference is 39. What is the larger number?
  11. 11.The sum of 3 consecutive numbers is 87. What is the largest of them?
  12. 12.The sum of two numbers is 25 and their difference is 15. What is the larger number?
  13. 13.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  14. 14.The sum of two numbers is 148 and their difference is 28. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 6. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  20. 20.The sum of two numbers is 111 and their difference is 15. What is the smaller number?
  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 two numbers is 169 and their difference is 1. What is the smaller number?
  23. 23.The sum of two numbers is 62 and their difference is 58. What is the smaller number?
  24. 24.The sum of two numbers is 104 and their difference is 16. What is the larger number?
  25. 25.The sum of two numbers is 57 and their difference is 47. What is the smaller number?
  26. 26.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?
  27. 27.The sum of two numbers is 84 and their difference is 18. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 54. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 238. What is the largest of them?
  32. 32.One number is 3 times another. Their difference is 24. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  36. 36.One number is 2 times another. Their difference is 39. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  39. 39.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 165. What is the largest of them?

Answer key

  1. 19
  2. 23
  3. 11
  4. 25
  5. 20
  6. 7
  7. 30
  8. 34
  9. 15
  10. 58
  11. 30
  12. 20
  13. 17
  14. 60
  15. 6
  16. 66
  17. 83
  18. 13
  19. 27
  20. 48
  21. 89
  22. 84
  23. 2
  24. 60
  25. 5
  26. 59
  27. 33
  28. 63
  29. 19
  30. 8
  31. 61
  32. 12
  33. 34
  34. 34
  35. 19
  36. 39
  37. 52
  38. 35
  39. 53
  40. 56

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