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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 97 · 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 52 and their difference is 16. What is the smaller number?
  2. 2.The sum of two numbers is 37 and their difference is 3. What is the larger number?
  3. 3.The sum of 3 consecutive numbers is 81. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 158. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  8. 8.The sum of two numbers is 92 and their difference is 88. What is the smaller number?
  9. 9.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  10. 10.One number is 6 times another. Their difference is 60. What is the smaller number?
  11. 11.The sum of two numbers is 108 and their difference is 8. What is the larger number?
  12. 12.One number is 2 times another. Their difference is 19. What is the smaller number?
  13. 13.The sum of two numbers is 122 and their difference is 10. What is the larger number?
  14. 14.One number is 2 times another. Their difference is 38. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  19. 19.The sum of two numbers is 61 and their difference is 7. What is the larger number?
  20. 20.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.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?
  22. 22.The sum of 5 consecutive numbers is 80. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  25. 25.The sum of two numbers is 32 and their difference is 4. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  27. 27.The sum of two numbers is 24 and their difference is 20. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 102. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  30. 30.The sum of two numbers is 83 and their difference is 61. What is the larger number?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  32. 32.One number is 5 times another. Their difference is 88. What is the smaller number?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 154. What is the largest of them?
  35. 35.One number is 4 times another. Their difference is 63. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 36. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 159. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 72. What is the largest of them?
  40. 40.One number is 5 times another. Their difference is 16. What is the smaller number?

Answer key

  1. 18
  2. 20
  3. 28
  4. 41
  5. 19
  6. 60
  7. 51
  8. 2
  9. 59
  10. 12
  11. 58
  12. 19
  13. 66
  14. 38
  15. 12
  16. 38
  17. 47
  18. 5
  19. 34
  20. 69
  21. 27
  22. 18
  23. 44
  24. 54
  25. 14
  26. 32
  27. 2
  28. 27
  29. 64
  30. 72
  31. 19
  32. 22
  33. 23
  34. 40
  35. 21
  36. 18
  37. 54
  38. 23
  39. 25
  40. 4

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