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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 257 · 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 4 consecutive even numbers is 84. What is the largest of them?
  2. 2.The sum of two numbers is 28 and their difference is 4. 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 27. What is the number?
  4. 4.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of 5 consecutive numbers is 125. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 28. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 62. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  13. 13.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  17. 17.The sum of two numbers is 22 and their difference is 18. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  19. 19.One number is 3 times another. Their difference is 74. What is the smaller number?
  20. 20.The sum of two numbers is 53 and their difference is 11. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  22. 22.One number is 5 times another. Their difference is 108. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 60. What is the largest of them?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 82 and their difference is 52. What is the larger number?
  28. 28.The sum of two numbers is 112 and their difference is 76. What is the larger number?
  29. 29.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  31. 31.The sum of two numbers is 16 and their difference is 10. What is the larger number?
  32. 32.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  34. 34.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?
  35. 35.One number is 2 times another. Their difference is 40. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 75. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 21. What is the largest of them?

Answer key

  1. 24
  2. 12
  3. 58
  4. 59
  5. 70
  6. 89
  7. 27
  8. 53
  9. 81
  10. 28
  11. 17
  12. 48
  13. 53
  14. 58
  15. 70
  16. 56
  17. 2
  18. 56
  19. 37
  20. 21
  21. 34
  22. 27
  23. 14
  24. 78
  25. 20
  26. 79
  27. 67
  28. 94
  29. 25
  30. 25
  31. 13
  32. 42
  33. 8
  34. 69
  35. 40
  36. 25
  37. 54
  38. 52
  39. 35
  40. 8

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