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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 539 · 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 sum of 3 consecutive odd numbers is 75. What is the largest of them?
  2. 2.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  3. 3.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  6. 6.One number is 5 times another. Their difference is 152. What is the smaller number?
  7. 7.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  8. 8.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 38. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 45. What is the largest of them?
  11. 11.One number is 2 times another. Their difference is 24. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 28. What is the smaller number?
  13. 13.The sum of two numbers is 92 and their difference is 36. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 4. What is the smaller number?
  15. 15.One number is 5 times another. Their difference is 156. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 18. What is the largest of them?
  18. 18.The sum of two numbers is 46 and their difference is 8. What is the larger number?
  19. 19.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?
  20. 20.The sum of 4 consecutive numbers is 242. What is the largest of them?
  21. 21.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  22. 22.The sum of two numbers is 37 and their difference is 33. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  26. 26.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 90. What is the largest of them?
  28. 28.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  31. 31.One number is 5 times another. Their difference is 144. What is the smaller number?
  32. 32.The sum of two numbers is 66 and their difference is 12. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 174. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 150. What is the largest of them?
  40. 40.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?

Answer key

  1. 27
  2. 54
  3. 40
  4. 57
  5. 61
  6. 38
  7. 64
  8. 38
  9. 11
  10. 16
  11. 24
  12. 14
  13. 28
  14. 4
  15. 39
  16. 12
  17. 7
  18. 27
  19. 13
  20. 62
  21. 61
  22. 2
  23. 19
  24. 22
  25. 28
  26. 10
  27. 31
  28. 38
  29. 57
  30. 69
  31. 36
  32. 27
  33. 56
  34. 58
  35. 45
  36. 25
  37. 40
  38. 9
  39. 51
  40. 9

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