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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 629 · 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 73 and their difference is 61. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  3. 3.The sum of two numbers is 54 and their difference is 42. What is the larger number?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 45. What is the largest of them?
  6. 6.The sum of two numbers is 35 and their difference is 23. What is the larger number?
  7. 7.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  9. 9.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.One number is 2 times another. Their difference is 19. What is the smaller number?
  11. 11.The sum of two numbers is 191 and their difference is 7. What is the larger number?
  12. 12.One number is 5 times another. Their difference is 12. What is the smaller number?
  13. 13.One number is 5 times another. Their difference is 112. What is the smaller number?
  14. 14.The sum of two numbers is 147 and their difference is 31. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  20. 20.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  21. 21.The sum of two numbers is 58 and their difference is 56. What is the larger number?
  22. 22.The sum of two numbers is 60 and their difference is 30. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 170. What is the largest of them?
  24. 24.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  25. 25.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  26. 26.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  27. 27.The sum of 3 consecutive numbers is 150. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  32. 32.The sum of two numbers is 17 and their difference is 9. What is the larger number?
  33. 33.The sum of 5 consecutive numbers is 205. What is the largest of them?
  34. 34.One number is 2 times another. Their difference is 10. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 93. What is the largest of them?
  37. 37.One number is 2 times another. Their difference is 28. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  39. 39.The sum of two numbers is 96 and their difference is 50. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 100. What is the largest of them?

Answer key

  1. 6
  2. 48
  3. 48
  4. 23
  5. 16
  6. 29
  7. 27
  8. 60
  9. 58
  10. 19
  11. 99
  12. 3
  13. 28
  14. 58
  15. 67
  16. 40
  17. 89
  18. 78
  19. 47
  20. 49
  21. 57
  22. 15
  23. 44
  24. 27
  25. 60
  26. 26
  27. 51
  28. 83
  29. 23
  30. 49
  31. 51
  32. 13
  33. 43
  34. 10
  35. 23
  36. 33
  37. 28
  38. 48
  39. 73
  40. 28

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