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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 635 · 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 30. What is the largest of them?
  2. 2.The sum of two numbers is 98 and their difference is 56. What is the larger number?
  3. 3.The digits of a two-digit number add up to 5. 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 17. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  6. 6.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 110. What is the largest of them?
  8. 8.The sum of two numbers is 30 and their difference is 14. What is the smaller number?
  9. 9.The sum of 5 consecutive numbers is 275. What is the largest of them?
  10. 10.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  12. 12.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 194. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 117. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 88. What is the largest of them?
  16. 16.The sum of two numbers is 121 and their difference is 39. What is the smaller number?
  17. 17.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  18. 18.The sum of 3 consecutive numbers is 93. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 230. What is the largest of them?
  20. 20.The sum of two numbers is 59 and their difference is 37. What is the larger number?
  21. 21.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?
  22. 22.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?
  23. 23.One number is 3 times another. Their difference is 80. What is the smaller number?
  24. 24.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?
  25. 25.One number is 3 times another. Their difference is 66. What is the smaller number?
  26. 26.The sum of two numbers is 124 and their difference is 74. What is the smaller number?
  27. 27.The sum of two numbers is 55 and their difference is 3. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 38. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  30. 30.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?
  31. 31.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?
  32. 32.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  33. 33.One number is 2 times another. Their difference is 7. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 175. What is the largest of them?
  35. 35.One number is 2 times another. Their difference is 17. What is the smaller number?
  36. 36.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 168. What is the largest of them?
  38. 38.One number is 4 times another. Their difference is 57. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 46. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 114. What is the smallest of them?

Answer key

  1. 9
  2. 77
  3. 23
  4. 89
  5. 12
  6. 19
  7. 24
  8. 8
  9. 57
  10. 67
  11. 31
  12. 35
  13. 50
  14. 40
  15. 25
  16. 41
  17. 28
  18. 32
  19. 48
  20. 48
  21. 69
  22. 35
  23. 40
  24. 36
  25. 33
  26. 25
  27. 26
  28. 38
  29. 45
  30. 79
  31. 18
  32. 15
  33. 7
  34. 37
  35. 17
  36. 38
  37. 57
  38. 19
  39. 13
  40. 36

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