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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 132 · 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 two numbers is 23 and their difference is 15. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 5. What is the smaller number?
  3. 3.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  4. 4.The sum of 4 consecutive even numbers is 148. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 190. What is the smaller number?
  6. 6.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?
  7. 7.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 46. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  11. 11.One number is 4 times another. Their difference is 21. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  13. 13.One number is 6 times another. Their difference is 35. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 19. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 69 and their difference is 47. What is the larger number?
  20. 20.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  22. 22.The sum of two numbers is 85 and their difference is 77. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  24. 24.One number is 5 times another. Their difference is 108. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  28. 28.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 8. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 36. What is the largest of them?
  31. 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  32. 32.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  33. 33.The sum of 4 consecutive numbers is 238. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  35. 35.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?
  36. 36.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  37. 37.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  38. 38.The sum of two numbers is 140 and their difference is 8. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 100. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?

Answer key

  1. 4
  2. 5
  3. 60
  4. 34
  5. 38
  6. 13
  7. 22
  8. 35
  9. 13
  10. 6
  11. 7
  12. 9
  13. 7
  14. 19
  15. 36
  16. 64
  17. 16
  18. 25
  19. 58
  20. 35
  21. 15
  22. 4
  23. 68
  24. 27
  25. 84
  26. 26
  27. 43
  28. 73
  29. 8
  30. 13
  31. 27
  32. 59
  33. 61
  34. 61
  35. 17
  36. 26
  37. 12
  38. 66
  39. 22
  40. 63

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