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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 122 · 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 10. When the digits swap places, the number goes up by 36. What is the number?
  2. 2.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?
  3. 3.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?
  4. 4.The sum of two numbers is 83 and their difference is 5. What is the smaller number?
  5. 5.One number is 6 times another. Their difference is 145. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  7. 7.One number is 4 times another. Their difference is 39. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  9. 9.The sum of two numbers is 174 and their difference is 22. What is the larger number?
  10. 10.The sum of 5 consecutive numbers is 295. What is the largest of them?
  11. 11.One number is 2 times another. Their difference is 23. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 105. What is the smaller number?
  13. 13.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?
  14. 14.The sum of 5 consecutive numbers is 210. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 155. What is the largest of them?
  16. 16.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 4 consecutive numbers is 210. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.One number is 6 times another. Their difference is 185. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 151 and their difference is 1. What is the larger number?
  26. 26.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 168. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  29. 29.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?
  30. 30.One number is 3 times another. Their difference is 12. What is the smaller number?
  31. 31.One number is 4 times another. Their difference is 102. What is the smaller number?
  32. 32.One number is 3 times another. Their difference is 24. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 54 and their difference is 50. What is the larger number?
  37. 37.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 7. What is the smaller number?
  39. 39.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?

Answer key

  1. 37
  2. 39
  3. 19
  4. 39
  5. 29
  6. 10
  7. 13
  8. 79
  9. 98
  10. 61
  11. 23
  12. 35
  13. 89
  14. 44
  15. 33
  16. 63
  17. 53
  18. 79
  19. 54
  20. 13
  21. 37
  22. 29
  23. 44
  24. 78
  25. 76
  26. 41
  27. 57
  28. 59
  29. 35
  30. 6
  31. 34
  32. 12
  33. 29
  34. 14
  35. 67
  36. 52
  37. 17
  38. 7
  39. 80
  40. 81

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