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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 684 · 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 28. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  3. 3.The sum of two numbers is 119 and their difference is 13. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 174. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 150. What is the largest of them?
  13. 13.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?
  14. 14.The sum of two numbers is 44 and their difference is 4. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  17. 17.One number is 3 times another. Their difference is 30. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  19. 19.One number is 3 times another. Their difference is 48. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  21. 21.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 156. What is the smaller number?
  23. 23.The sum of two numbers is 26 and their difference is 16. What is the larger number?
  24. 24.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  25. 25.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  26. 26.One number is 6 times another. Their difference is 25. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  29. 29.The sum of two numbers is 42 and their difference is 22. What is the larger number?
  30. 30.One number is 6 times another. Their difference is 100. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 300. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 162. 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 18. What is the number?
  34. 34.The sum of 4 consecutive numbers is 190. What is the largest of them?
  35. 35.The sum of two numbers is 77 and their difference is 59. What is the larger number?
  36. 36.The sum of two numbers is 156 and their difference is 6. What is the smaller number?
  37. 37.The sum of two numbers is 121 and their difference is 51. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 52. What is the largest of them?

Answer key

  1. 14
  2. 11
  3. 53
  4. 64
  5. 37
  6. 73
  7. 37
  8. 67
  9. 17
  10. 48
  11. 59
  12. 32
  13. 79
  14. 20
  15. 89
  16. 49
  17. 15
  18. 29
  19. 24
  20. 18
  21. 71
  22. 39
  23. 21
  24. 32
  25. 44
  26. 5
  27. 78
  28. 14
  29. 32
  30. 20
  31. 62
  32. 53
  33. 35
  34. 49
  35. 68
  36. 75
  37. 35
  38. 28
  39. 59
  40. 16

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