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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 239 · 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 146 and their difference is 16. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 84. What is the smaller number?
  4. 4.The sum of two numbers is 12 and their difference is 10. What is the larger number?
  5. 5.One number is 6 times another. Their difference is 170. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 31 and their difference is 11. What is the smaller number?
  9. 9.The sum of two numbers is 173 and their difference is 9. What is the larger number?
  10. 10.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?
  11. 11.The sum of 5 consecutive numbers is 195. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 177. What is the largest of them?
  13. 13.The sum of 5 consecutive numbers is 180. What is the largest of them?
  14. 14.The sum of two numbers is 14 and their difference is 10. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 220. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  17. 17.The sum of two numbers is 112 and their difference is 66. What is the larger number?
  18. 18.The sum of two numbers is 49 and their difference is 13. What is the smaller number?
  19. 19.The sum of two numbers is 53 and their difference is 13. What is the smaller number?
  20. 20.One number is 2 times another. Their difference is 20. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 21. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  23. 23.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  24. 24.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?
  25. 25.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?
  26. 26.The sum of two numbers is 45 and their difference is 35. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 60. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 194. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 150. What is the largest of them?
  31. 31.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?
  32. 32.One number is 2 times another. Their difference is 29. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  36. 36.One number is 3 times another. Their difference is 54. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  38. 38.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  39. 39.The sum of two numbers is 20 and their difference is 6. What is the smaller number?
  40. 40.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?

Answer key

  1. 65
  2. 55
  3. 21
  4. 11
  5. 34
  6. 42
  7. 28
  8. 10
  9. 91
  10. 27
  11. 41
  12. 60
  13. 38
  14. 2
  15. 46
  16. 23
  17. 89
  18. 18
  19. 20
  20. 20
  21. 21
  22. 29
  23. 32
  24. 26
  25. 13
  26. 5
  27. 14
  28. 12
  29. 50
  30. 51
  31. 46
  32. 29
  33. 36
  34. 19
  35. 44
  36. 27
  37. 79
  38. 78
  39. 7
  40. 12

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