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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 157 · 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.One number is 3 times another. Their difference is 14. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  3. 3.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  4. 4.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  6. 6.The sum of two numbers is 151 and their difference is 27. What is the larger number?
  7. 7.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.One number is 4 times another. Their difference is 15. What is the smaller number?
  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 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?
  11. 11.One number is 4 times another. Their difference is 48. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 27. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  17. 17.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 250. What is the largest of them?
  19. 19.The sum of two numbers is 20 and their difference is 18. What is the larger number?
  20. 20.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  21. 21.The sum of two numbers is 26 and their difference is 12. What is the smaller number?
  22. 22.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  23. 23.The sum of two numbers is 30 and their difference is 6. What is the smaller number?
  24. 24.The sum of two numbers is 105 and their difference is 19. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  28. 28.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  31. 31.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.One number is 2 times another. Their difference is 18. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 29. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  35. 35.The sum of two numbers is 23 and their difference is 19. What is the larger number?
  36. 36.The sum of 4 consecutive numbers is 78. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 55. What is the largest of them?
  38. 38.The sum of two numbers is 53 and their difference is 15. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 218. What is the largest of them?

Answer key

  1. 7
  2. 20
  3. 13
  4. 27
  5. 47
  6. 89
  7. 24
  8. 5
  9. 89
  10. 35
  11. 16
  12. 10
  13. 39
  14. 12
  15. 56
  16. 17
  17. 15
  18. 52
  19. 19
  20. 67
  21. 7
  22. 49
  23. 12
  24. 62
  25. 31
  26. 40
  27. 62
  28. 78
  29. 64
  30. 68
  31. 23
  32. 18
  33. 29
  34. 45
  35. 21
  36. 21
  37. 13
  38. 19
  39. 17
  40. 56

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