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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 780 · 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 5 times another. Their difference is 156. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 70. What is the largest of them?
  3. 3.One number is 6 times another. Their difference is 150. What is the smaller number?
  4. 4.The sum of two numbers is 34 and their difference is 8. What is the larger number?
  5. 5.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  6. 6.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?
  7. 7.The sum of two numbers is 90 and their difference is 2. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  9. 9.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  11. 11.The sum of two numbers is 122 and their difference is 74. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  13. 13.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  15. 15.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
  16. 16.The sum of two numbers is 58 and their difference is 44. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  18. 18.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  19. 19.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  20. 20.One number is 5 times another. Their difference is 152. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 180. What is the smallest of them?
  23. 23.The sum of two numbers is 94 and their difference is 66. What is the smaller number?
  24. 24.One number is 5 times another. Their difference is 148. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  26. 26.The sum of two numbers is 158 and their difference is 10. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  28. 28.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 54. What is the largest of them?
  30. 30.The sum of two numbers is 15 and their difference is 11. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 4 consecutive numbers is 62. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  34. 34.The sum of two numbers is 164 and their difference is 30. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 108. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  37. 37.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 117 and their difference is 61. What is the larger number?
  40. 40.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?

Answer key

  1. 39
  2. 19
  3. 30
  4. 21
  5. 16
  6. 26
  7. 44
  8. 12
  9. 65
  10. 36
  11. 24
  12. 19
  13. 53
  14. 16
  15. 2
  16. 7
  17. 29
  18. 60
  19. 41
  20. 38
  21. 10
  22. 42
  23. 14
  24. 37
  25. 80
  26. 74
  27. 14
  28. 58
  29. 15
  30. 2
  31. 89
  32. 17
  33. 25
  34. 67
  35. 37
  36. 31
  37. 21
  38. 47
  39. 89
  40. 69

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