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Quantitative aptitude lesson 27: Number problems · Set 819 · 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).

NameDateTime takenScore ___ / 40
  1. 1.One number is 3 times another. Their difference is 78. What is the smaller number?
  2. 2.One number is 5 times another. Their difference is 48. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.The sum of 4 consecutive numbers is 110. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 260. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 33. What is the largest of them?
  12. 12.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  13. 13.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 63. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  18. 18.The sum of two numbers is 56 and their difference is 20. What is the larger number?
  19. 19.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  20. 20.One number is 3 times another. Their difference is 54. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of two numbers is 146 and their difference is 34. What is the larger number?
  23. 23.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  25. 25.The sum of two numbers is 136 and their difference is 52. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 115. What is the largest of them?
  27. 27.The sum of two numbers is 48 and their difference is 6. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The sum of 4 consecutive even numbers is 252. What is the largest of them?
  30. 30.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 242. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  34. 34.One number is 2 times another. Their difference is 8. What is the smaller number?
  35. 35.The sum of two numbers is 26 and their difference is 16. What is the larger number?
  36. 36.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  37. 37.The sum of two numbers is 149 and their difference is 5. What is the larger number?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  40. 40.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?

Answer key

  1. 39
  2. 12
  3. 36
  4. 29
  5. 56
  6. 25
  7. 54
  8. 18
  9. 72
  10. 18
  11. 12
  12. 69
  13. 15
  14. 89
  15. 22
  16. 38
  17. 45
  18. 38
  19. 18
  20. 27
  21. 12
  22. 90
  23. 14
  24. 41
  25. 42
  26. 25
  27. 21
  28. 34
  29. 66
  30. 41
  31. 59
  32. 62
  33. 28
  34. 8
  35. 21
  36. 27
  37. 77
  38. 37
  39. 31
  40. 56

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