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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 391 · 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 236. What is the smallest of them?
  2. 2.The sum of 3 consecutive numbers is 42. What is the largest of them?
  3. 3.The sum of two numbers is 44 and their difference is 12. What is the larger number?
  4. 4.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  6. 6.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 64 and their difference is 6. What is the larger number?
  12. 12.The sum of two numbers is 85 and their difference is 15. What is the larger number?
  13. 13.One number is 2 times another. Their difference is 9. What is the smaller number?
  14. 14.The sum of two numbers is 92 and their difference is 2. What is the larger number?
  15. 15.The sum of two numbers is 31 and their difference is 21. What is the larger number?
  16. 16.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?
  17. 17.The sum of 4 consecutive numbers is 78. What is the largest of them?
  18. 18.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?
  19. 19.One number is 6 times another. Their difference is 130. What is the smaller number?
  20. 20.One number is 6 times another. Their difference is 55. What is the smaller number?
  21. 21.The sum of two numbers is 89 and their difference is 19. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 175. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 60. What is the smallest 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 27. What is the number?
  25. 25.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 24. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 240. What is the largest of them?
  30. 30.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 88. What is the smaller number?
  32. 32.The sum of two numbers is 28 and their difference is 2. What is the larger number?
  33. 33.One number is 3 times another. Their difference is 44. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  35. 35.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  36. 36.One number is 4 times another. Their difference is 99. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 54. What is the largest of them?
  38. 38.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.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?
  40. 40.The sum of 4 consecutive even numbers is 324. What is the largest of them?

Answer key

  1. 56
  2. 15
  3. 28
  4. 31
  5. 24
  6. 15
  7. 48
  8. 33
  9. 21
  10. 47
  11. 35
  12. 50
  13. 9
  14. 47
  15. 26
  16. 26
  17. 21
  18. 78
  19. 26
  20. 11
  21. 35
  22. 35
  23. 19
  24. 69
  25. 70
  26. 79
  27. 24
  28. 15
  29. 50
  30. 36
  31. 22
  32. 15
  33. 22
  34. 19
  35. 34
  36. 33
  37. 15
  38. 12
  39. 79
  40. 84

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