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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 161 · 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.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  2. 2.One number is 4 times another. Their difference is 33. What is the smaller number?
  3. 3.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?
  4. 4.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  5. 5.The sum of 4 consecutive numbers is 210. What is the largest of them?
  6. 6.One number is 6 times another. Their difference is 145. What is the smaller number?
  7. 7.The sum of two numbers is 118 and their difference is 14. What is the smaller number?
  8. 8.One number is 4 times another. Their difference is 81. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  10. 10.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.The sum of two numbers is 27 and their difference is 17. What is the larger number?
  12. 12.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?
  13. 13.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  14. 14.One number is 6 times another. Their difference is 30. What is the smaller number?
  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 numbers is 94. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  18. 18.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  20. 20.The sum of two numbers is 71 and their difference is 37. What is the larger number?
  21. 21.One number is 6 times another. Their difference is 185. What is the smaller number?
  22. 22.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  23. 23.The sum of 3 consecutive numbers is 72. What is the largest of them?
  24. 24.One number is 5 times another. Their difference is 44. What is the smaller number?
  25. 25.The sum of two numbers is 41 and their difference is 5. What is the larger number?
  26. 26.One number is 5 times another. Their difference is 52. What is the smaller number?
  27. 27.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.One number is 4 times another. Their difference is 117. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 48. What is the largest of them?
  32. 32.The sum of 5 consecutive numbers is 110. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 26. What is the smaller number?
  34. 34.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?
  35. 35.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  36. 36.The sum of two numbers is 161 and their difference is 3. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  38. 38.The sum of two numbers is 50 and their difference is 4. What is the larger number?
  39. 39.The sum of two numbers is 58 and their difference is 10. What is the larger number?
  40. 40.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?

Answer key

  1. 31
  2. 11
  3. 89
  4. 39
  5. 54
  6. 29
  7. 52
  8. 27
  9. 22
  10. 57
  11. 22
  12. 68
  13. 17
  14. 6
  15. 56
  16. 22
  17. 67
  18. 41
  19. 23
  20. 54
  21. 37
  22. 15
  23. 25
  24. 11
  25. 23
  26. 13
  27. 75
  28. 15
  29. 47
  30. 39
  31. 17
  32. 24
  33. 13
  34. 79
  35. 18
  36. 79
  37. 33
  38. 27
  39. 34
  40. 53

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