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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 65 · 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.One number is 6 times another. Their difference is 20. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.One number is 4 times another. Their difference is 66. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 4 consecutive numbers is 194. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 102. What is the largest of them?
  10. 10.One number is 2 times another. Their difference is 39. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 13. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  16. 16.One number is 4 times another. Their difference is 39. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  18. 18.The sum of 4 consecutive numbers is 46. What is the largest of them?
  19. 19.One number is 4 times another. Their difference is 105. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 44. What is the largest of them?
  22. 22.The sum of two numbers is 98 and their difference is 54. What is the smaller number?
  23. 23.The sum of two numbers is 91 and their difference is 27. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 27. What is the largest of them?
  26. 26.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  27. 27.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?
  28. 28.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?
  29. 29.The sum of 5 consecutive numbers is 255. What is the largest of them?
  30. 30.One number is 3 times another. Their difference is 36. What is the smaller number?
  31. 31.The sum of two numbers is 32 and their difference is 6. What is the larger number?
  32. 32.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  33. 33.The sum of two numbers is 68 and their difference is 18. What is the larger number?
  34. 34.The sum of two numbers is 48 and their difference is 44. What is the smaller number?
  35. 35.The sum of 4 consecutive even numbers is 124. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 155. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive numbers is 58. What is the largest of them?
  40. 40.One number is 3 times another. Their difference is 46. What is the smaller number?

Answer key

  1. 4
  2. 13
  3. 76
  4. 58
  5. 22
  6. 11
  7. 89
  8. 50
  9. 27
  10. 39
  11. 13
  12. 60
  13. 47
  14. 75
  15. 11
  16. 13
  17. 74
  18. 13
  19. 35
  20. 36
  21. 14
  22. 22
  23. 32
  24. 67
  25. 10
  26. 27
  27. 59
  28. 35
  29. 53
  30. 18
  31. 19
  32. 44
  33. 43
  34. 2
  35. 28
  36. 19
  37. 33
  38. 78
  39. 16
  40. 23

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