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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 201 · 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).

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  1. 1.The sum of 4 consecutive numbers is 186. 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 18. What is the number?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of two numbers is 170 and their difference is 24. What is the larger number?
  6. 6.The sum of 4 consecutive numbers is 162. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 117. What is the largest of them?
  8. 8.The sum of two numbers is 120 and their difference is 16. What is the larger number?
  9. 9.The sum of two numbers is 85 and their difference is 13. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 78. What is the largest of them?
  11. 11.The sum of 3 consecutive numbers is 42. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 150. What is the smallest 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 two numbers is 29 and their difference is 7. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 238. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 175. What is the largest of them?
  19. 19.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  20. 20.One number is 5 times another. Their difference is 72. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 95. What is the smaller number?
  25. 25.The sum of two numbers is 97 and their difference is 45. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 246. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  28. 28.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 16. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  31. 31.The sum of two numbers is 58 and their difference is 14. What is the larger number?
  32. 32.One number is 6 times another. Their difference is 100. What is the smaller number?
  33. 33.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  34. 34.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 51. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 34. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 20. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 50. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 232. What is the largest of them?

Answer key

  1. 48
  2. 24
  3. 89
  4. 67
  5. 97
  6. 42
  7. 40
  8. 68
  9. 36
  10. 27
  11. 15
  12. 49
  13. 28
  14. 78
  15. 18
  16. 61
  17. 21
  18. 37
  19. 50
  20. 18
  21. 79
  22. 57
  23. 12
  24. 19
  25. 26
  26. 84
  27. 29
  28. 20
  29. 8
  30. 57
  31. 36
  32. 20
  33. 58
  34. 51
  35. 17
  36. 26
  37. 10
  38. 10
  39. 12
  40. 61

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