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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 136 · 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 156. What is the smallest of them?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  4. 4.The sum of two numbers is 163 and their difference is 3. What is the larger number?
  5. 5.The sum of 4 consecutive numbers is 62. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  7. 7.One number is 2 times another. Their difference is 5. What is the smaller number?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  12. 12.The sum of two numbers is 90 and their difference is 30. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 36. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  17. 17.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?
  18. 18.One number is 6 times another. Their difference is 180. What is the smaller number?
  19. 19.One number is 6 times another. Their difference is 195. What is the smaller number?
  20. 20.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?
  21. 21.The sum of two numbers is 36 and their difference is 6. What is the larger number?
  22. 22.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 90. What is the smaller number?
  24. 24.The sum of two numbers is 110 and their difference is 66. What is the larger number?
  25. 25.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 73 and their difference is 47. What is the smaller number?
  28. 28.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?
  29. 29.The sum of two numbers is 85 and their difference is 57. What is the larger number?
  30. 30.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 32. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 240. What is the largest of them?
  36. 36.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 9. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  39. 39.One number is 2 times another. Their difference is 26. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 110. What is the largest of them?

Answer key

  1. 36
  2. 23
  3. 39
  4. 83
  5. 17
  6. 53
  7. 5
  8. 78
  9. 56
  10. 66
  11. 51
  12. 60
  13. 13
  14. 13
  15. 47
  16. 14
  17. 69
  18. 36
  19. 39
  20. 79
  21. 21
  22. 30
  23. 30
  24. 88
  25. 56
  26. 89
  27. 13
  28. 67
  29. 71
  30. 80
  31. 25
  32. 13
  33. 32
  34. 42
  35. 50
  36. 5
  37. 3
  38. 15
  39. 26
  40. 24

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