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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 773 · 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 5. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.One number is 4 times another. Their difference is 117. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The sum of two numbers is 42 and their difference is 36. What is the smaller number?
  5. 5.The sum of two numbers is 152 and their difference is 46. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 10. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 14. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  9. 9.One number is 2 times another. Their difference is 39. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 19. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 5 consecutive numbers is 210. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 140. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 60. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 54. What is the largest of them?
  17. 17.One number is 3 times another. Their difference is 32. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 102. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 150. What is the largest of them?
  21. 21.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  22. 22.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  23. 23.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 100. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 285. What is the largest of them?
  26. 26.The sum of two numbers is 27 and their difference is 19. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 66. What is the largest of them?
  29. 29.The sum of two numbers is 43 and their difference is 23. What is the larger number?
  30. 30.The sum of 3 consecutive numbers is 183. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive numbers is 78. What is the largest of them?
  33. 33.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?
  34. 34.One number is 3 times another. Their difference is 54. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 48. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  37. 37.One number is 6 times another. Their difference is 40. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  40. 40.The sum of two numbers is 50 and their difference is 4. What is the smaller number?

Answer key

  1. 14
  2. 39
  3. 67
  4. 3
  5. 53
  6. 5
  7. 7
  8. 23
  9. 39
  10. 19
  11. 68
  12. 12
  13. 44
  14. 32
  15. 30
  16. 19
  17. 16
  18. 22
  19. 35
  20. 51
  21. 17
  22. 16
  23. 25
  24. 20
  25. 59
  26. 4
  27. 79
  28. 23
  29. 33
  30. 62
  31. 89
  32. 27
  33. 79
  34. 27
  35. 24
  36. 27
  37. 8
  38. 49
  39. 10
  40. 23

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