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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 437 · 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 two numbers is 15 and their difference is 9. What is the larger number?
  2. 2.The sum of 3 consecutive numbers is 144. What is the largest of them?
  3. 3.The sum of two numbers is 47 and their difference is 31. What is the larger number?
  4. 4.One number is 4 times another. Their difference is 99. What is the smaller number?
  5. 5.The sum of two numbers is 89 and their difference is 13. What is the larger number?
  6. 6.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  7. 7.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?
  8. 8.One number is 3 times another. Their difference is 62. What is the smaller number?
  9. 9.The sum of two numbers is 30 and their difference is 2. What is the smaller number?
  10. 10.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?
  11. 11.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  12. 12.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  13. 13.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?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 60. What is the smaller number?
  17. 17.The sum of two numbers is 49 and their difference is 27. What is the smaller number?
  18. 18.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  19. 19.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?
  20. 20.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  22. 22.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  23. 23.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  24. 24.The sum of two numbers is 73 and their difference is 29. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 153. What is the largest of them?
  26. 26.One number is 2 times another. Their difference is 5. What is the smaller number?
  27. 27.The sum of two numbers is 41 and their difference is 29. What is the larger number?
  28. 28.The sum of 5 consecutive numbers is 105. What is the largest of them?
  29. 29.The sum of two numbers is 23 and their difference is 17. What is the larger number?
  30. 30.The sum of 3 consecutive numbers is 150. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 90. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  34. 34.One number is 3 times another. Their difference is 48. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  36. 36.The sum of two numbers is 20 and their difference is 8. What is the larger number?
  37. 37.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 15. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 106. What is the largest of them?

Answer key

  1. 12
  2. 49
  3. 39
  4. 33
  5. 51
  6. 49
  7. 57
  8. 31
  9. 14
  10. 89
  11. 54
  12. 33
  13. 69
  14. 78
  15. 42
  16. 15
  17. 11
  18. 25
  19. 79
  20. 35
  21. 38
  22. 23
  23. 67
  24. 51
  25. 52
  26. 5
  27. 35
  28. 23
  29. 20
  30. 51
  31. 20
  32. 13
  33. 17
  34. 24
  35. 13
  36. 14
  37. 22
  38. 5
  39. 59
  40. 28

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