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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 261 · 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 4. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.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?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 178. What is the largest of them?
  5. 5.The sum of two numbers is 32 and their difference is 12. What is the larger number?
  6. 6.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?
  7. 7.The sum of 3 consecutive numbers is 54. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  9. 9.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?
  10. 10.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  11. 11.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 66. What is the largest of them?
  14. 14.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  16. 16.One number is 2 times another. Their difference is 34. What is the smaller number?
  17. 17.The sum of two numbers is 18 and their difference is 6. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  20. 20.The sum of two numbers is 86 and their difference is 24. What is the larger number?
  21. 21.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  22. 22.One number is 5 times another. Their difference is 136. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 24. What is the largest of them?
  26. 26.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  28. 28.The sum of two numbers is 53 and their difference is 3. What is the larger number?
  29. 29.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  30. 30.One number is 6 times another. Their difference is 185. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  32. 32.One number is 6 times another. Their difference is 35. What is the smaller number?
  33. 33.The sum of two numbers is 126 and their difference is 62. What is the smaller number?
  34. 34.The sum of two numbers is 60 and their difference is 20. What is the larger number?
  35. 35.The sum of 5 consecutive numbers is 110. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 64. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  40. 40.The sum of two numbers is 137 and their difference is 53. What is the smaller number?

Answer key

  1. 13
  2. 67
  3. 35
  4. 46
  5. 22
  6. 78
  7. 19
  8. 17
  9. 89
  10. 30
  11. 64
  12. 14
  13. 18
  14. 11
  15. 59
  16. 34
  17. 6
  18. 27
  19. 42
  20. 55
  21. 21
  22. 34
  23. 58
  24. 5
  25. 9
  26. 52
  27. 52
  28. 28
  29. 21
  30. 37
  31. 56
  32. 7
  33. 32
  34. 40
  35. 24
  36. 73
  37. 53
  38. 32
  39. 13
  40. 42

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