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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 583 · 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 34. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  3. 3.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  4. 4.One number is 3 times another. Their difference is 56. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  6. 6.One number is 5 times another. Their difference is 16. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 180. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  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 4 consecutive odd numbers is 72. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  15. 15.The sum of two numbers is 73 and their difference is 39. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of two numbers is 73 and their difference is 35. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 230. What is the largest of them?
  20. 20.One number is 5 times another. Their difference is 32. What is the smaller number?
  21. 21.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?
  22. 22.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?
  23. 23.One number is 4 times another. Their difference is 57. What is the smaller number?
  24. 24.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?
  25. 25.One number is 6 times another. Their difference is 115. What is the smaller number?
  26. 26.One number is 3 times another. Their difference is 8. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 82. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  29. 29.The sum of two numbers is 41 and their difference is 11. What is the larger number?
  30. 30.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?
  31. 31.The sum of two numbers is 18 and their difference is 16. What is the larger number?
  32. 32.The sum of 5 consecutive numbers is 165. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 240. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  39. 39.The sum of two numbers is 99 and their difference is 57. What is the larger number?
  40. 40.The sum of 5 consecutive numbers is 80. What is the smallest of them?

Answer key

  1. 34
  2. 35
  3. 45
  4. 28
  5. 50
  6. 4
  7. 66
  8. 32
  9. 33
  10. 61
  11. 23
  12. 67
  13. 15
  14. 14
  15. 17
  16. 49
  17. 27
  18. 19
  19. 59
  20. 8
  21. 39
  22. 56
  23. 19
  24. 19
  25. 23
  26. 4
  27. 22
  28. 18
  29. 26
  30. 78
  31. 17
  32. 35
  33. 70
  34. 58
  35. 79
  36. 41
  37. 50
  38. 29
  39. 78
  40. 14

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