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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 865 · 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 3 times another. Their difference is 70. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 26. What is the largest of them?
  3. 3.The sum of two numbers is 62 and their difference is 52. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  5. 5.The sum of two numbers is 92 and their difference is 8. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 42. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 230. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  9. 9.One number is 4 times another. Their difference is 27. What is the smaller number?
  10. 10.The sum of two numbers is 26 and their difference is 16. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  12. 12.The sum of two numbers is 141 and their difference is 7. What is the smaller number?
  13. 13.The sum of two numbers is 146 and their difference is 10. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  15. 15.The sum of two numbers is 33 and their difference is 15. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  17. 17.One number is 5 times another. Their difference is 160. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 38. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 66. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  22. 22.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 65. What is the largest of them?
  26. 26.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  29. 29.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?
  30. 30.One number is 4 times another. Their difference is 45. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 3 consecutive numbers is 159. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 57. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 37. What is the smaller number?

Answer key

  1. 35
  2. 8
  3. 5
  4. 44
  5. 42
  6. 12
  7. 48
  8. 21
  9. 9
  10. 5
  11. 9
  12. 67
  13. 68
  14. 69
  15. 24
  16. 43
  17. 40
  18. 19
  19. 18
  20. 14
  21. 19
  22. 35
  23. 76
  24. 47
  25. 15
  26. 28
  27. 37
  28. 38
  29. 25
  30. 15
  31. 29
  32. 14
  33. 26
  34. 54
  35. 20
  36. 23
  37. 77
  38. 69
  39. 27
  40. 37

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