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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 258 · 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 3 consecutive even numbers is 72. What is the largest of them?
  2. 2.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  3. 3.One number is 5 times another. Their difference is 100. What is the smaller number?
  4. 4.The sum of two numbers is 25 and their difference is 11. What is the smaller number?
  5. 5.One number is 4 times another. Their difference is 99. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 37. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 280. What is the largest of them?
  11. 11.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  12. 12.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  14. 14.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?
  15. 15.One number is 2 times another. Their difference is 25. What is the smaller number?
  16. 16.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?
  17. 17.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?
  18. 18.One number is 3 times another. Their difference is 34. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 96. What is the smaller number?
  20. 20.The sum of two numbers is 112 and their difference is 52. What is the larger number?
  21. 21.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  22. 22.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 174. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 84. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 45. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  32. 32.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  33. 33.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?
  34. 34.One number is 3 times another. Their difference is 52. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  37. 37.One number is 2 times another. Their difference is 4. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  39. 39.The sum of two numbers is 37 and their difference is 11. What is the smaller number?
  40. 40.The sum of two numbers is 41 and their difference is 1. What is the larger number?

Answer key

  1. 26
  2. 19
  3. 25
  4. 7
  5. 33
  6. 77
  7. 37
  8. 89
  9. 47
  10. 58
  11. 64
  12. 15
  13. 29
  14. 28
  15. 25
  16. 58
  17. 25
  18. 17
  19. 24
  20. 82
  21. 12
  22. 5
  23. 59
  24. 31
  25. 7
  26. 29
  27. 11
  28. 9
  29. 56
  30. 41
  31. 76
  32. 71
  33. 79
  34. 26
  35. 29
  36. 38
  37. 4
  38. 60
  39. 13
  40. 21

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