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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 532 · 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 odd numbers is 72. What is the smallest of them?
  2. 2.The sum of two numbers is 53 and their difference is 3. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  5. 5.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?
  6. 6.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?
  7. 7.The sum of two numbers is 59 and their difference is 39. What is the smaller number?
  8. 8.The sum of two numbers is 65 and their difference is 25. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 175. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 72. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 180. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 190. What is the smallest of them?
  16. 16.One number is 3 times another. Their difference is 68. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 165. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 132. What is the largest of them?
  19. 19.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?
  20. 20.One number is 2 times another. Their difference is 17. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 153. What is the largest of them?
  22. 22.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?
  23. 23.The sum of two numbers is 69 and their difference is 11. What is the smaller number?
  24. 24.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  25. 25.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?
  26. 26.One number is 4 times another. Their difference is 33. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  28. 28.The sum of two numbers is 61 and their difference is 19. What is the larger number?
  29. 29.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.One number is 5 times another. Their difference is 20. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 200. What is the largest of them?
  32. 32.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  36. 36.The sum of two numbers is 139 and their difference is 39. What is the larger number?
  37. 37.The sum of 3 consecutive even numbers is 234. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  40. 40.The sum of two numbers is 111 and their difference is 1. What is the larger number?

Answer key

  1. 15
  2. 25
  3. 12
  4. 34
  5. 48
  6. 13
  7. 10
  8. 20
  9. 37
  10. 26
  11. 77
  12. 73
  13. 61
  14. 78
  15. 36
  16. 34
  17. 33
  18. 45
  19. 89
  20. 17
  21. 52
  22. 34
  23. 29
  24. 15
  25. 79
  26. 11
  27. 50
  28. 40
  29. 26
  30. 5
  31. 42
  32. 40
  33. 16
  34. 49
  35. 36
  36. 89
  37. 76
  38. 82
  39. 59
  40. 56

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