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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 313 · 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 4 consecutive numbers is 26. What is the largest of them?
  2. 2.The sum of two numbers is 81 and their difference is 21. What is the larger number?
  3. 3.One number is 6 times another. Their difference is 95. What is the smaller number?
  4. 4.The sum of two numbers is 103 and their difference is 19. What is the larger number?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  7. 7.The sum of two numbers is 47 and their difference is 41. What is the larger number?
  8. 8.One number is 4 times another. Their difference is 102. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 66. What is the largest of them?
  10. 10.The sum of two numbers is 24 and their difference is 10. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  12. 12.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  13. 13.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  14. 14.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  15. 15.The sum of two numbers is 72 and their difference is 64. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  17. 17.One number is 6 times another. Their difference is 155. What is the smaller number?
  18. 18.The sum of two numbers is 76 and their difference is 38. What is the smaller number?
  19. 19.One number is 2 times another. Their difference is 36. What is the smaller number?
  20. 20.One number is 4 times another. Their difference is 90. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  22. 22.One number is 4 times another. Their difference is 87. What is the smaller number?
  23. 23.One number is 3 times another. Their difference is 20. What is the smaller number?
  24. 24.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?
  25. 25.One number is 6 times another. Their difference is 195. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  27. 27.One number is 2 times another. Their difference is 14. What is the smaller number?
  28. 28.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?
  29. 29.The sum of two numbers is 20 and their difference is 4. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 100. What is the largest of them?
  31. 31.The sum of two numbers is 21 and their difference is 5. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  35. 35.The sum of two numbers is 22 and their difference is 18. What is the larger number?
  36. 36.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?
  37. 37.One number is 6 times another. Their difference is 60. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 27. What is the smaller number?
  39. 39.One number is 3 times another. Their difference is 30. What is the smaller number?
  40. 40.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?

Answer key

  1. 8
  2. 51
  3. 19
  4. 61
  5. 15
  6. 57
  7. 44
  8. 34
  9. 23
  10. 7
  11. 67
  12. 57
  13. 34
  14. 21
  15. 4
  16. 17
  17. 31
  18. 19
  19. 36
  20. 30
  21. 25
  22. 29
  23. 10
  24. 37
  25. 39
  26. 16
  27. 14
  28. 78
  29. 8
  30. 22
  31. 8
  32. 8
  33. 37
  34. 23
  35. 20
  36. 13
  37. 12
  38. 9
  39. 15
  40. 89

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