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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 921 · 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 22. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 135. What is the largest of them?
  4. 4.The sum of two numbers is 136 and their difference is 48. What is the larger number?
  5. 5.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?
  6. 6.The sum of two numbers is 22 and their difference is 10. What is the larger number?
  7. 7.The sum of 4 consecutive numbers is 194. What is the largest of them?
  8. 8.One number is 5 times another. Their difference is 12. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 165. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 36. What is the smaller number?
  13. 13.One number is 3 times another. Their difference is 56. What is the smaller number?
  14. 14.One number is 6 times another. Their difference is 175. What is the smaller number?
  15. 15.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  16. 16.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?
  17. 17.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?
  18. 18.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  20. 20.One number is 5 times another. Their difference is 128. What is the smaller number?
  21. 21.The sum of two numbers is 135 and their difference is 33. What is the larger number?
  22. 22.One number is 3 times another. Their difference is 52. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 120. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 162. What is the largest of them?
  25. 25.One number is 3 times another. Their difference is 44. What is the smaller number?
  26. 26.The sum of two numbers is 69 and their difference is 53. What is the larger number?
  27. 27.One number is 3 times another. Their difference is 64. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 74. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 36. What is the largest of them?
  33. 33.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  34. 34.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?
  35. 35.One number is 4 times another. Their difference is 108. What is the smaller number?
  36. 36.The sum of two numbers is 142 and their difference is 32. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 16. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 170. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 34. What is the smaller number?

Answer key

  1. 22
  2. 80
  3. 29
  4. 92
  5. 78
  6. 16
  7. 50
  8. 3
  9. 56
  10. 47
  11. 11
  12. 12
  13. 28
  14. 35
  15. 34
  16. 48
  17. 49
  18. 54
  19. 19
  20. 32
  21. 84
  22. 26
  23. 41
  24. 55
  25. 22
  26. 61
  27. 32
  28. 16
  29. 37
  30. 82
  31. 30
  32. 13
  33. 35
  34. 69
  35. 36
  36. 55
  37. 8
  38. 33
  39. 44
  40. 17

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