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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 881 · 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.One number is 2 times another. Their difference is 3. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  3. 3.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  4. 4.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?
  5. 5.One number is 5 times another. Their difference is 76. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 190. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 160. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 90. What is the largest of them?
  11. 11.The sum of 4 consecutive odd numbers is 216. What is the smallest of them?
  12. 12.One number is 5 times another. Their difference is 148. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 96. What is the largest of them?
  14. 14.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?
  15. 15.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?
  16. 16.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?
  17. 17.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  19. 19.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?
  20. 20.One number is 3 times another. Their difference is 76. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  22. 22.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  23. 23.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?
  24. 24.The sum of two numbers is 74 and their difference is 20. What is the larger number?
  25. 25.The sum of two numbers is 26 and their difference is 12. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 75. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  28. 28.One number is 3 times another. Their difference is 32. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 32. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 51. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 62. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 142. What is the largest of them?
  37. 37.The sum of 4 consecutive numbers is 146. What is the largest of them?
  38. 38.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  39. 39.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 185. What is the largest of them?

Answer key

  1. 3
  2. 10
  3. 80
  4. 79
  5. 19
  6. 49
  7. 34
  8. 19
  9. 11
  10. 24
  11. 51
  12. 37
  13. 33
  14. 89
  15. 56
  16. 68
  17. 22
  18. 51
  19. 29
  20. 38
  21. 71
  22. 10
  23. 78
  24. 47
  25. 7
  26. 25
  27. 17
  28. 16
  29. 16
  30. 8
  31. 42
  32. 74
  33. 17
  34. 17
  35. 39
  36. 37
  37. 38
  38. 56
  39. 22
  40. 39

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