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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 849 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 3 consecutive numbers is 18. What is the largest of them?
  2. 2.The sum of two numbers is 36 and their difference is 18. What is the smaller number?
  3. 3.One number is 4 times another. Their difference is 93. What is the smaller number?
  4. 4.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?
  5. 5.One number is 4 times another. Their difference is 111. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  10. 10.One number is 6 times another. Their difference is 185. What is the smaller number?
  11. 11.The sum of two numbers is 113 and their difference is 47. What is the larger number?
  12. 12.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  13. 13.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 51. 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.One number is 3 times another. Their difference is 10. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  22. 22.The sum of two numbers is 141 and their difference is 47. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 95. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  25. 25.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  26. 26.The sum of two numbers is 114 and their difference is 4. What is the smaller number?
  27. 27.The sum of two numbers is 59 and their difference is 21. What is the larger number?
  28. 28.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  29. 29.The sum of two numbers is 30 and their difference is 8. What is the smaller number?
  30. 30.The sum of two numbers is 82 and their difference is 2. What is the smaller number?
  31. 31.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.The sum of two numbers is 66 and their difference is 6. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  35. 35.One number is 6 times another. Their difference is 105. What is the smaller number?
  36. 36.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?
  37. 37.The sum of two numbers is 117 and their difference is 29. What is the smaller number?
  38. 38.One number is 2 times another. Their difference is 6. What is the smaller number?
  39. 39.The sum of two numbers is 28 and their difference is 2. What is the smaller number?
  40. 40.One number is 4 times another. Their difference is 72. What is the smaller number?

Answer key

  1. 7
  2. 9
  3. 31
  4. 25
  5. 37
  6. 47
  7. 38
  8. 38
  9. 87
  10. 37
  11. 80
  12. 32
  13. 79
  14. 63
  15. 16
  16. 79
  17. 5
  18. 12
  19. 50
  20. 19
  21. 52
  22. 47
  23. 21
  24. 54
  25. 85
  26. 55
  27. 40
  28. 35
  29. 11
  30. 40
  31. 17
  32. 46
  33. 30
  34. 84
  35. 21
  36. 89
  37. 44
  38. 6
  39. 13
  40. 24

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