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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 822 · 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 5 times another. Their difference is 36. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  3. 3.The sum of two numbers is 92 and their difference is 36. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 108. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  8. 8.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 122. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  11. 11.The sum of two numbers is 47 and their difference is 31. What is the smaller number?
  12. 12.One number is 6 times another. Their difference is 20. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  14. 14.One number is 4 times another. Their difference is 24. What is the smaller number?
  15. 15.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  16. 16.One number is 3 times another. Their difference is 60. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 84. What is the smaller number?
  20. 20.The sum of two numbers is 181 and their difference is 13. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 39. What is the largest of them?
  22. 22.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?
  23. 23.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  24. 24.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?
  25. 25.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 114 and their difference is 38. What is the smaller number?
  28. 28.The sum of two numbers is 57 and their difference is 45. What is the smaller number?
  29. 29.The sum of 4 consecutive numbers is 38. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 86. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 54. What is the largest of them?
  34. 34.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  36. 36.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  37. 37.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  38. 38.One number is 6 times another. Their difference is 85. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.One number is 4 times another. Their difference is 69. What is the smaller number?

Answer key

  1. 9
  2. 68
  3. 28
  4. 52
  5. 75
  6. 37
  7. 37
  8. 47
  9. 32
  10. 53
  11. 8
  12. 4
  13. 77
  14. 8
  15. 55
  16. 30
  17. 78
  18. 36
  19. 21
  20. 84
  21. 14
  22. 68
  23. 11
  24. 69
  25. 41
  26. 79
  27. 38
  28. 6
  29. 11
  30. 23
  31. 8
  32. 25
  33. 19
  34. 45
  35. 37
  36. 58
  37. 27
  38. 17
  39. 46
  40. 23

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