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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 266 · 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 even numbers is 204. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 180. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive odd numbers is 320. What is the smallest of them?
  6. 6.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  7. 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.One number is 2 times another. Their difference is 14. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  10. 10.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?
  11. 11.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?
  12. 12.One number is 5 times another. Their difference is 56. What is the smaller number?
  13. 13.The sum of two numbers is 59 and their difference is 19. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  17. 17.One number is 6 times another. Their difference is 190. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 14. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 145. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 20. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 88. 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 numbers is 69. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 206. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 255. What is the largest of them?
  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 4 consecutive numbers is 62. What is the smallest of them?
  30. 30.One number is 4 times another. Their difference is 21. What is the smaller number?
  31. 31.One number is 5 times another. Their difference is 72. What is the smaller number?
  32. 32.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?
  33. 33.The sum of 4 consecutive numbers is 66. What is the largest of them?
  34. 34.One number is 6 times another. Their difference is 60. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 99. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 81. What is the largest of them?
  39. 39.One number is 2 times another. Their difference is 23. What is the smaller number?
  40. 40.The sum of two numbers is 130 and their difference is 44. What is the larger number?

Answer key

  1. 54
  2. 47
  3. 61
  4. 56
  5. 77
  6. 62
  7. 45
  8. 14
  9. 48
  10. 68
  11. 26
  12. 14
  13. 20
  14. 67
  15. 37
  16. 48
  17. 38
  18. 7
  19. 31
  20. 49
  21. 56
  22. 4
  23. 19
  24. 69
  25. 22
  26. 53
  27. 53
  28. 59
  29. 14
  30. 7
  31. 18
  32. 39
  33. 18
  34. 12
  35. 57
  36. 63
  37. 34
  38. 28
  39. 23
  40. 87

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