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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 310 · 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 odd numbers is 51. What is the largest of them?
  2. 2.One number is 2 times another. Their difference is 13. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 38. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  5. 5.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  8. 8.The sum of two numbers is 108 and their difference is 62. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  14. 14.The sum of two numbers is 55 and their difference is 19. What is the larger number?
  15. 15.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?
  16. 16.The sum of 3 consecutive odd numbers is 33. What is the largest 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.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?
  19. 19.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?
  20. 20.The sum of two numbers is 24 and their difference is 18. What is the smaller number?
  21. 21.One number is 6 times another. Their difference is 55. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 58. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  25. 25.One number is 4 times another. Their difference is 51. What is the smaller number?
  26. 26.The sum of 3 consecutive numbers is 45. What is the largest of them?
  27. 27.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 34. What is the largest of them?
  29. 29.One number is 2 times another. Their difference is 3. What is the smaller number?
  30. 30.The sum of two numbers is 68 and their difference is 10. What is the larger number?
  31. 31.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.One number is 2 times another. Their difference is 6. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  36. 36.One number is 2 times another. Their difference is 37. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 48. What is the smaller number?
  38. 38.The sum of two numbers is 137 and their difference is 43. What is the larger number?
  39. 39.The sum of two numbers is 34 and their difference is 28. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 260. What is the smallest of them?

Answer key

  1. 19
  2. 13
  3. 38
  4. 23
  5. 2
  6. 57
  7. 36
  8. 23
  9. 17
  10. 11
  11. 34
  12. 14
  13. 10
  14. 37
  15. 89
  16. 13
  17. 69
  18. 35
  19. 56
  20. 3
  21. 11
  22. 29
  23. 20
  24. 76
  25. 17
  26. 16
  27. 32
  28. 10
  29. 3
  30. 39
  31. 9
  32. 68
  33. 6
  34. 36
  35. 48
  36. 37
  37. 16
  38. 90
  39. 3
  40. 62

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