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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 22 · 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 5 consecutive numbers is 225. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 3 consecutive numbers is 90. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 145. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 36. What is the smaller number?
  9. 9.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  12. 12.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 39. 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 4 consecutive odd numbers is 96. What is the smallest of them?
  16. 16.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?
  17. 17.One number is 3 times another. Their difference is 10. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 9. What is the smaller number?
  19. 19.One number is 6 times another. Their difference is 50. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 52. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 78. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 24. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 30. What is the smaller number?
  25. 25.One number is 2 times another. Their difference is 13. What is the smaller number?
  26. 26.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?
  27. 27.One number is 6 times another. Their difference is 135. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  29. 29.The sum of two numbers is 17 and their difference is 13. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 123. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 182. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  36. 36.The sum of 4 consecutive odd numbers is 280. What is the smallest of them?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of two numbers is 89 and their difference is 87. What is the larger number?
  40. 40.The sum of 3 consecutive even numbers is 222. What is the smallest of them?

Answer key

  1. 47
  2. 15
  3. 31
  4. 23
  5. 78
  6. 28
  7. 31
  8. 9
  9. 84
  10. 57
  11. 29
  12. 31
  13. 14
  14. 78
  15. 21
  16. 56
  17. 5
  18. 3
  19. 10
  20. 26
  21. 63
  22. 39
  23. 12
  24. 15
  25. 13
  26. 67
  27. 27
  28. 59
  29. 2
  30. 89
  31. 46
  32. 39
  33. 42
  34. 47
  35. 17
  36. 67
  37. 47
  38. 39
  39. 88
  40. 72

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