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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 814 · 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 3 consecutive even numbers is 192. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 155. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 120. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.One number is 4 times another. Their difference is 102. What is the smaller number?
  6. 6.The sum of two numbers is 64 and their difference is 6. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.One number is 2 times another. Their difference is 19. What is the smaller number?
  9. 9.The sum of two numbers is 124 and their difference is 44. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 33. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  15. 15.The sum of two numbers is 115 and their difference is 69. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  17. 17.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  19. 19.One number is 3 times another. Their difference is 32. What is the smaller number?
  20. 20.One number is 5 times another. Their difference is 124. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of two numbers is 38 and their difference is 6. What is the smaller number?
  23. 23.The sum of two numbers is 108 and their difference is 18. What is the larger number?
  24. 24.The sum of two numbers is 35 and their difference is 27. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  28. 28.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?
  29. 29.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?
  30. 30.One number is 4 times another. Their difference is 66. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 305. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 212. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  34. 34.The sum of two numbers is 82 and their difference is 70. What is the larger number?
  35. 35.One number is 2 times another. Their difference is 40. What is the smaller number?
  36. 36.The sum of two numbers is 95 and their difference is 13. What is the larger number?
  37. 37.One number is 4 times another. Their difference is 54. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 21. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 55. What is the smallest of them?

Answer key

  1. 66
  2. 33
  3. 41
  4. 24
  5. 34
  6. 29
  7. 35
  8. 19
  9. 40
  10. 33
  11. 54
  12. 26
  13. 43
  14. 58
  15. 23
  16. 47
  17. 45
  18. 29
  19. 16
  20. 31
  21. 34
  22. 16
  23. 63
  24. 4
  25. 30
  26. 78
  27. 67
  28. 14
  29. 89
  30. 22
  31. 63
  32. 56
  33. 9
  34. 76
  35. 40
  36. 54
  37. 18
  38. 7
  39. 22
  40. 9

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