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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 386 · 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.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  5. 5.The sum of two numbers is 94 and their difference is 12. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 8. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 90. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  9. 9.The sum of two numbers is 113 and their difference is 59. What is the larger number?
  10. 10.The sum of two numbers is 90 and their difference is 32. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  13. 13.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?
  14. 14.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  15. 15.One number is 2 times another. Their difference is 24. What is the smaller number?
  16. 16.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 186. What is the largest of them?
  18. 18.The sum of two numbers is 136 and their difference is 32. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  23. 23.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  24. 24.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  25. 25.One number is 4 times another. Their difference is 108. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 240. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  28. 28.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  29. 29.The sum of two numbers is 84 and their difference is 10. What is the larger number?
  30. 30.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  34. 34.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  37. 37.One number is 3 times another. Their difference is 70. What is the smaller number?
  38. 38.The sum of two numbers is 75 and their difference is 41. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  40. 40.One number is 2 times another. Their difference is 27. What is the smaller number?

Answer key

  1. 47
  2. 89
  3. 31
  4. 81
  5. 41
  6. 4
  7. 24
  8. 9
  9. 86
  10. 29
  11. 71
  12. 24
  13. 19
  14. 49
  15. 24
  16. 44
  17. 48
  18. 52
  19. 36
  20. 57
  21. 49
  22. 52
  23. 23
  24. 12
  25. 36
  26. 50
  27. 57
  28. 6
  29. 47
  30. 76
  31. 30
  32. 79
  33. 73
  34. 58
  35. 78
  36. 48
  37. 35
  38. 17
  39. 80
  40. 27

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