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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 606 · 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 15. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of two numbers is 115 and their difference is 11. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 48. What is the largest of them?
  5. 5.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of 3 consecutive numbers is 84. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 70. What is the largest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 150 and their difference is 22. What is the smaller number?
  12. 12.The sum of two numbers is 33 and their difference is 5. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 183. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  16. 16.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?
  17. 17.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  20. 20.One number is 6 times another. Their difference is 90. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  23. 23.One number is 2 times another. Their difference is 3. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  26. 26.The sum of two numbers is 73 and their difference is 3. What is the smaller number?
  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 4 consecutive odd numbers is 304. What is the smallest of them?
  29. 29.One number is 4 times another. Their difference is 117. What is the smaller number?
  30. 30.The sum of two numbers is 38 and their difference is 26. What is the larger number?
  31. 31.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  32. 32.The sum of 3 consecutive numbers is 102. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 78. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 130. What is the largest of them?
  35. 35.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  36. 36.The sum of two numbers is 25 and their difference is 1. What is the smaller number?
  37. 37.The sum of two numbers is 26 and their difference is 20. What is the larger number?
  38. 38.The sum of 5 consecutive numbers is 190. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 86. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 72. What is the smallest of them?

Answer key

  1. 69
  2. 52
  3. 20
  4. 17
  5. 79
  6. 68
  7. 49
  8. 27
  9. 16
  10. 14
  11. 64
  12. 14
  13. 62
  14. 70
  15. 80
  16. 35
  17. 7
  18. 58
  19. 49
  20. 18
  21. 27
  22. 40
  23. 3
  24. 67
  25. 19
  26. 35
  27. 89
  28. 73
  29. 39
  30. 32
  31. 48
  32. 35
  33. 27
  34. 34
  35. 78
  36. 12
  37. 23
  38. 40
  39. 23
  40. 23

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