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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 141 · 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 5 times another. Their difference is 88. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 142. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 12. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 78. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 8. What is the smaller number?
  11. 11.One number is 6 times another. Their difference is 160. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.The sum of two numbers is 126 and their difference is 34. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of two numbers is 92 and their difference is 62. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  19. 19.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  22. 22.One number is 3 times another. Their difference is 18. What is the smaller number?
  23. 23.One number is 4 times another. Their difference is 57. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 78. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 72. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  31. 31.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 168. What is the largest of them?
  33. 33.The sum of two numbers is 83 and their difference is 37. What is the larger number?
  34. 34.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 280. What is the largest of them?
  37. 37.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?
  38. 38.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  39. 39.The sum of two numbers is 65 and their difference is 47. What is the larger number?
  40. 40.The sum of 3 consecutive even numbers is 132. What is the smallest of them?

Answer key

  1. 22
  2. 37
  3. 60
  4. 80
  5. 12
  6. 75
  7. 9
  8. 57
  9. 39
  10. 4
  11. 32
  12. 49
  13. 46
  14. 35
  15. 8
  16. 79
  17. 15
  18. 17
  19. 32
  20. 19
  21. 21
  22. 9
  23. 19
  24. 5
  25. 21
  26. 25
  27. 31
  28. 89
  29. 56
  30. 52
  31. 22
  32. 57
  33. 60
  34. 40
  35. 23
  36. 58
  37. 38
  38. 72
  39. 56
  40. 42

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