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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 102 · 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 145 and their difference is 37. What is the larger number?
  2. 2.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?
  3. 3.The sum of 5 consecutive numbers is 165. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  6. 6.The sum of two numbers is 80 and their difference is 58. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  9. 9.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?
  10. 10.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 160. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  14. 14.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?
  15. 15.One number is 6 times another. Their difference is 145. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 16. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 55. What is the largest of them?
  19. 19.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of 4 consecutive numbers is 98. What is the largest of them?
  23. 23.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 54. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  27. 27.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 155. What is the largest of them?
  29. 29.The sum of two numbers is 20 and their difference is 18. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  31. 31.The sum of two numbers is 54 and their difference is 26. What is the larger number?
  32. 32.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  33. 33.The sum of 5 consecutive numbers is 65. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 69. What is the largest of them?
  35. 35.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of two numbers is 12 and their difference is 8. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  40. 40.The sum of two numbers is 31 and their difference is 1. What is the smaller number?

Answer key

  1. 91
  2. 79
  3. 35
  4. 58
  5. 59
  6. 11
  7. 26
  8. 53
  9. 89
  10. 11
  11. 32
  12. 25
  13. 11
  14. 59
  15. 29
  16. 16
  17. 29
  18. 13
  19. 13
  20. 22
  21. 14
  22. 26
  23. 28
  24. 15
  25. 49
  26. 13
  27. 31
  28. 33
  29. 1
  30. 67
  31. 40
  32. 69
  33. 15
  34. 24
  35. 33
  36. 23
  37. 67
  38. 2
  39. 8
  40. 15

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