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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 884 · 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 two numbers is 63 and their difference is 59. What is the larger number?
  2. 2.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 87. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  7. 7.One number is 3 times another. Their difference is 60. What is the smaller number?
  8. 8.The sum of two numbers is 109 and their difference is 19. What is the larger number?
  9. 9.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  12. 12.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?
  13. 13.One number is 4 times another. Their difference is 108. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 144. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  16. 16.One number is 3 times another. Their difference is 24. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  18. 18.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  19. 19.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 36. What is the smaller number?
  22. 22.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 29. What is the smaller number?
  27. 27.The sum of two numbers is 154 and their difference is 10. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  29. 29.The sum of two numbers is 101 and their difference is 85. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 162. What is the largest of them?
  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 odd numbers is 152. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  34. 34.The sum of two numbers is 49 and their difference is 47. What is the larger number?
  35. 35.The sum of two numbers is 31 and their difference is 5. What is the larger number?
  36. 36.One number is 2 times another. Their difference is 9. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  38. 38.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  39. 39.The sum of two numbers is 145 and their difference is 23. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 92. What is the smallest of them?

Answer key

  1. 61
  2. 10
  3. 29
  4. 68
  5. 42
  6. 49
  7. 30
  8. 64
  9. 58
  10. 60
  11. 33
  12. 39
  13. 36
  14. 36
  15. 35
  16. 12
  17. 46
  18. 72
  19. 82
  20. 57
  21. 18
  22. 25
  23. 19
  24. 72
  25. 64
  26. 29
  27. 72
  28. 15
  29. 8
  30. 56
  31. 89
  32. 35
  33. 23
  34. 48
  35. 18
  36. 9
  37. 65
  38. 48
  39. 61
  40. 20

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