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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 568 · 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 digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  2. 2.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  5. 5.The sum of two numbers is 59 and their difference is 39. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 174. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 130. What is the largest of them?
  13. 13.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 122. What is the largest of them?
  15. 15.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 18. What is the smaller number?
  17. 17.The sum of two numbers is 62 and their difference is 30. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 10. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  20. 20.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?
  21. 21.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  22. 22.The sum of 3 consecutive numbers is 180. What is the largest of them?
  23. 23.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  24. 24.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  25. 25.One number is 5 times another. Their difference is 144. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 26. What is the smaller number?
  27. 27.The sum of two numbers is 20 and their difference is 12. What is the larger number?
  28. 28.One number is 4 times another. Their difference is 45. What is the smaller number?
  29. 29.The sum of two numbers is 177 and their difference is 3. What is the smaller number?
  30. 30.The sum of two numbers is 21 and their difference is 1. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 75. What is the largest of them?
  33. 33.One number is 5 times another. Their difference is 152. What is the smaller number?
  34. 34.One number is 2 times another. Their difference is 24. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 65. What is the largest of them?
  36. 36.The sum of two numbers is 109 and their difference is 75. What is the larger number?
  37. 37.One number is 4 times another. Their difference is 9. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  39. 39.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  40. 40.The sum of 4 consecutive odd numbers is 144. What is the largest of them?

Answer key

  1. 28
  2. 21
  3. 16
  4. 24
  5. 10
  6. 45
  7. 10
  8. 41
  9. 35
  10. 12
  11. 65
  12. 28
  13. 82
  14. 32
  15. 71
  16. 6
  17. 16
  18. 5
  19. 30
  20. 67
  21. 49
  22. 61
  23. 19
  24. 78
  25. 36
  26. 26
  27. 16
  28. 15
  29. 87
  30. 10
  31. 33
  32. 26
  33. 38
  34. 24
  35. 15
  36. 92
  37. 3
  38. 37
  39. 20
  40. 39

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