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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 482 · 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 6 times another. Their difference is 85. What is the smaller number?
  2. 2.The sum of two numbers is 18 and their difference is 16. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 231. What is the largest of them?
  6. 6.The sum of two numbers is 34 and their difference is 6. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 12. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 206. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 81. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 95. What is the largest of them?
  13. 13.The sum of two numbers is 60 and their difference is 42. What is the smaller number?
  14. 14.One number is 3 times another. Their difference is 36. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  16. 16.The sum of two numbers is 66 and their difference is 62. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  18. 18.The sum of two numbers is 104 and their difference is 20. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  20. 20.One number is 4 times another. Their difference is 36. What is the smaller number?
  21. 21.One number is 2 times another. Their difference is 23. What is the smaller number?
  22. 22.The sum of two numbers is 81 and their difference is 23. What is the smaller number?
  23. 23.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  24. 24.One number is 6 times another. Their difference is 130. What is the smaller number?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  29. 29.The sum of two numbers is 60 and their difference is 58. What is the smaller number?
  30. 30.The sum of two numbers is 41 and their difference is 21. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 3 consecutive numbers is 42. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  34. 34.The sum of two numbers is 19 and their difference is 3. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 99. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 140. What is the largest of them?
  37. 37.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  38. 38.The sum of two numbers is 102 and their difference is 24. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  40. 40.One number is 5 times another. Their difference is 140. What is the smaller number?

Answer key

  1. 17
  2. 1
  3. 35
  4. 30
  5. 79
  6. 14
  7. 12
  8. 53
  9. 28
  10. 47
  11. 71
  12. 21
  13. 9
  14. 18
  15. 18
  16. 2
  17. 43
  18. 42
  19. 18
  20. 12
  21. 23
  22. 29
  23. 85
  24. 26
  25. 59
  26. 48
  27. 89
  28. 58
  29. 1
  30. 10
  31. 69
  32. 15
  33. 56
  34. 8
  35. 34
  36. 30
  37. 30
  38. 39
  39. 55
  40. 35

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