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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 67 · 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 15 and their difference is 11. What is the larger number?
  2. 2.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  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 3 consecutive odd numbers is 153. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  6. 6.One number is 6 times another. Their difference is 170. What is the smaller number?
  7. 7.One number is 6 times another. Their difference is 165. What is the smaller number?
  8. 8.The sum of two numbers is 49 and their difference is 41. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 12. 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 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?
  13. 13.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  16. 16.The sum of two numbers is 74 and their difference is 20. What is the larger number?
  17. 17.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?
  18. 18.The sum of two numbers is 55 and their difference is 43. What is the smaller number?
  19. 19.The sum of two numbers is 95 and their difference is 51. What is the smaller number?
  20. 20.The sum of two numbers is 128 and their difference is 30. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 159. What is the largest of them?
  24. 24.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?
  25. 25.One number is 3 times another. Their difference is 20. What is the smaller number?
  26. 26.The sum of two numbers is 106 and their difference is 60. What is the smaller number?
  27. 27.One number is 6 times another. Their difference is 85. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 226. What is the largest of them?
  30. 30.The sum of two numbers is 40 and their difference is 26. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 4 consecutive numbers is 110. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  36. 36.The sum of two numbers is 34 and their difference is 30. What is the larger number?
  37. 37.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  39. 39.One number is 4 times another. Their difference is 9. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?

Answer key

  1. 13
  2. 55
  3. 67
  4. 49
  5. 38
  6. 34
  7. 33
  8. 4
  9. 9
  10. 3
  11. 78
  12. 89
  13. 17
  14. 72
  15. 51
  16. 47
  17. 14
  18. 6
  19. 22
  20. 49
  21. 84
  22. 19
  23. 54
  24. 13
  25. 10
  26. 23
  27. 17
  28. 9
  29. 58
  30. 7
  31. 69
  32. 26
  33. 45
  34. 9
  35. 12
  36. 32
  37. 5
  38. 75
  39. 3
  40. 21

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