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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 403 · 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 digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  2. 2.The sum of 5 consecutive numbers is 305. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 144. What is the smaller number?
  4. 4.One number is 4 times another. Their difference is 60. What is the smaller number?
  5. 5.The sum of two numbers is 26 and their difference is 14. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 190. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 105. What is the largest of them?
  9. 9.One number is 3 times another. Their difference is 60. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 140. What is the smaller number?
  11. 11.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?
  12. 12.The sum of two numbers is 38 and their difference is 36. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 62. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  15. 15.One number is 6 times another. Their difference is 45. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 40. What is the smaller number?
  17. 17.One number is 2 times another. Their difference is 6. What is the smaller number?
  18. 18.The sum of two numbers is 85 and their difference is 13. What is the smaller number?
  19. 19.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?
  20. 20.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  21. 21.The sum of two numbers is 78 and their difference is 4. What is the larger number?
  22. 22.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  26. 26.The sum of two numbers is 19 and their difference is 1. What is the larger number?
  27. 27.The sum of two numbers is 53 and their difference is 9. What is the larger number?
  28. 28.The sum of 3 consecutive numbers is 156. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 4 consecutive numbers is 30. What is the largest of them?
  34. 34.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  35. 35.The sum of two numbers is 70 and their difference is 36. What is the larger number?
  36. 36.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 33. What is the smaller number?
  38. 38.The sum of two numbers is 39 and their difference is 23. What is the larger number?
  39. 39.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  40. 40.The sum of two numbers is 13 and their difference is 9. What is the larger number?

Answer key

  1. 49
  2. 63
  3. 36
  4. 20
  5. 6
  6. 45
  7. 49
  8. 23
  9. 30
  10. 28
  11. 78
  12. 1
  13. 31
  14. 78
  15. 9
  16. 20
  17. 6
  18. 36
  19. 68
  20. 79
  21. 41
  22. 83
  23. 38
  24. 57
  25. 33
  26. 10
  27. 31
  28. 53
  29. 75
  30. 11
  31. 44
  32. 35
  33. 9
  34. 54
  35. 53
  36. 50
  37. 11
  38. 31
  39. 40
  40. 11

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