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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 644 · 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 2 times another. Their difference is 17. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 144. What is the largest of them?
  4. 4.One number is 2 times another. Their difference is 27. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 180. What is the largest of them?
  7. 7.The sum of two numbers is 118 and their difference is 60. What is the larger number?
  8. 8.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?
  9. 9.One number is 6 times another. Their difference is 170. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 12. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 90. What is the largest of them?
  12. 12.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  17. 17.The sum of two numbers is 119 and their difference is 21. What is the larger number?
  18. 18.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  19. 19.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  20. 20.The sum of two numbers is 37 and their difference is 31. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  22. 22.The sum of two numbers is 64 and their difference is 46. What is the smaller number?
  23. 23.The sum of two numbers is 71 and their difference is 67. What is the smaller number?
  24. 24.The sum of two numbers is 44 and their difference is 38. What is the larger number?
  25. 25.One number is 4 times another. Their difference is 81. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 50. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 14. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 185. What is the largest of them?
  30. 30.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?
  31. 31.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?
  32. 32.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?
  33. 33.The sum of 3 consecutive numbers is 114. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 111. What is the smaller number?
  35. 35.The sum of two numbers is 101 and their difference is 31. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 36. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of 5 consecutive numbers is 210. What is the smallest of them?

Answer key

  1. 17
  2. 6
  3. 49
  4. 27
  5. 19
  6. 61
  7. 89
  8. 89
  9. 34
  10. 12
  11. 20
  12. 6
  13. 29
  14. 34
  15. 21
  16. 69
  17. 70
  18. 15
  19. 27
  20. 3
  21. 48
  22. 9
  23. 2
  24. 41
  25. 27
  26. 12
  27. 14
  28. 21
  29. 39
  30. 78
  31. 67
  32. 49
  33. 39
  34. 37
  35. 35
  36. 8
  37. 13
  38. 7
  39. 58
  40. 40

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