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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 110 · 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 96 and their difference is 32. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 68. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  4. 4.One number is 6 times another. Their difference is 195. What is the smaller number?
  5. 5.The sum of two numbers is 133 and their difference is 23. What is the larger number?
  6. 6.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  8. 8.The sum of two numbers is 99 and their difference is 23. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 24. What is the smaller number?
  11. 11.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?
  12. 12.The sum of two numbers is 125 and their difference is 35. What is the smaller number?
  13. 13.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?
  14. 14.One number is 3 times another. Their difference is 52. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  17. 17.One number is 4 times another. Their difference is 75. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 14. What is the smaller number?
  19. 19.The sum of two numbers is 99 and their difference is 25. What is the smaller number?
  20. 20.The sum of two numbers is 50 and their difference is 12. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  24. 24.One number is 5 times another. Their difference is 48. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  28. 28.The sum of two numbers is 82 and their difference is 10. What is the larger number?
  29. 29.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?
  30. 30.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.One number is 3 times another. Their difference is 14. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 100. What is the largest of them?
  33. 33.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?
  34. 34.The sum of two numbers is 47 and their difference is 11. What is the smaller number?
  35. 35.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?
  36. 36.The sum of two numbers is 176 and their difference is 2. What is the larger number?
  37. 37.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?
  38. 38.The sum of two numbers is 59 and their difference is 9. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 42. What is the smaller number?
  40. 40.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?

Answer key

  1. 32
  2. 34
  3. 35
  4. 39
  5. 78
  6. 79
  7. 45
  8. 38
  9. 58
  10. 6
  11. 34
  12. 45
  13. 79
  14. 26
  15. 53
  16. 17
  17. 25
  18. 14
  19. 37
  20. 19
  21. 18
  22. 13
  23. 5
  24. 12
  25. 78
  26. 43
  27. 14
  28. 46
  29. 12
  30. 13
  31. 7
  32. 22
  33. 15
  34. 18
  35. 89
  36. 89
  37. 47
  38. 25
  39. 14
  40. 26

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