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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 78 · 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 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?
  2. 2.The sum of 3 consecutive numbers is 72. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 115. What is the largest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 120. What is the largest of them?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  8. 8.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  9. 9.The sum of two numbers is 40 and their difference is 4. What is the larger number?
  10. 10.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  11. 11.The sum of two numbers is 62 and their difference is 2. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 65. What is the largest of them?
  13. 13.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  15. 15.The sum of 5 consecutive numbers is 105. What is the largest of them?
  16. 16.The sum of two numbers is 112 and their difference is 60. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 255. What is the largest of them?
  18. 18.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  20. 20.The sum of two numbers is 16 and their difference is 4. What is the larger number?
  21. 21.The sum of 4 consecutive numbers is 246. What is the largest of them?
  22. 22.The sum of two numbers is 92 and their difference is 90. What is the larger number?
  23. 23.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?
  24. 24.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?
  25. 25.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  26. 26.The sum of two numbers is 91 and their difference is 5. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 10. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 230. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  30. 30.One number is 4 times another. Their difference is 54. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 58. What is the smaller number?
  32. 32.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 82. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  36. 36.The sum of two numbers is 82 and their difference is 52. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  38. 38.The sum of two numbers is 25 and their difference is 19. What is the larger number?
  39. 39.The sum of two numbers is 27 and their difference is 19. What is the larger number?
  40. 40.The sum of two numbers is 53 and their difference is 31. What is the larger number?

Answer key

  1. 56
  2. 25
  3. 25
  4. 28
  5. 41
  6. 26
  7. 27
  8. 59
  9. 22
  10. 37
  11. 30
  12. 15
  13. 9
  14. 25
  15. 23
  16. 26
  17. 53
  18. 65
  19. 79
  20. 10
  21. 63
  22. 91
  23. 67
  24. 16
  25. 47
  26. 43
  27. 10
  28. 59
  29. 44
  30. 18
  31. 29
  32. 23
  33. 89
  34. 19
  35. 34
  36. 15
  37. 39
  38. 22
  39. 23
  40. 42

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