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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 471 · 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 13. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.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?
  3. 3.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?
  4. 4.One number is 4 times another. Their difference is 57. What is the smaller number?
  5. 5.One number is 4 times another. Their difference is 90. What is the smaller number?
  6. 6.One number is 2 times another. Their difference is 28. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 40. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 94 and their difference is 80. What is the larger number?
  12. 12.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 153. What is the largest of them?
  15. 15.The sum of two numbers is 153 and their difference is 25. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 113 and their difference is 33. What is the larger number?
  20. 20.The sum of two numbers is 86 and their difference is 2. What is the larger number?
  21. 21.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  22. 22.The sum of two numbers is 73 and their difference is 35. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  24. 24.One number is 4 times another. Their difference is 96. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  26. 26.The sum of two numbers is 61 and their difference is 47. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.One number is 3 times another. Their difference is 72. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 145. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 300. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  37. 37.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  39. 39.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  40. 40.The sum of two numbers is 124 and their difference is 30. What is the smaller number?

Answer key

  1. 58
  2. 59
  3. 39
  4. 19
  5. 30
  6. 28
  7. 20
  8. 59
  9. 22
  10. 56
  11. 87
  12. 30
  13. 59
  14. 52
  15. 64
  16. 31
  17. 7
  18. 89
  19. 73
  20. 44
  21. 23
  22. 19
  23. 41
  24. 32
  25. 19
  26. 7
  27. 45
  28. 36
  29. 31
  30. 18
  31. 32
  32. 17
  33. 36
  34. 62
  35. 69
  36. 19
  37. 63
  38. 42
  39. 51
  40. 47

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