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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 547 · 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 odd numbers is 159. What is the smallest of them?
  2. 2.The sum of two numbers is 97 and their difference is 27. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  4. 4.The sum of 5 consecutive numbers is 120. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  7. 7.The sum of two numbers is 39 and their difference is 15. What is the larger number?
  8. 8.The sum of two numbers is 20 and their difference is 2. What is the larger number?
  9. 9.The sum of two numbers is 76 and their difference is 10. What is the larger number?
  10. 10.The sum of two numbers is 58 and their difference is 4. What is the larger number?
  11. 11.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  12. 12.One number is 2 times another. Their difference is 37. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 110. What is the largest of them?
  14. 14.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?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 60. What is the largest of them?
  17. 17.One number is 6 times another. Their difference is 200. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 29. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  20. 20.One number is 3 times another. Their difference is 20. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 145. What is the largest of them?
  22. 22.The sum of two numbers is 68 and their difference is 32. What is the larger number?
  23. 23.One number is 4 times another. Their difference is 48. 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 two numbers is 14 and their difference is 6. What is the larger number?
  26. 26.The sum of two numbers is 39 and their difference is 21. What is the smaller number?
  27. 27.One number is 4 times another. Their difference is 60. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 90. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  30. 30.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  32. 32.The sum of two numbers is 64 and their difference is 42. What is the larger number?
  33. 33.One number is 2 times another. Their difference is 6. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 235. What is the largest of them?
  36. 36.The sum of two numbers is 145 and their difference is 31. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  38. 38.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 180. What is the smallest of them?

Answer key

  1. 51
  2. 35
  3. 68
  4. 26
  5. 23
  6. 69
  7. 27
  8. 11
  9. 43
  10. 31
  11. 66
  12. 37
  13. 29
  14. 89
  15. 56
  16. 21
  17. 40
  18. 29
  19. 19
  20. 10
  21. 31
  22. 50
  23. 16
  24. 67
  25. 10
  26. 9
  27. 20
  28. 24
  29. 64
  30. 68
  31. 38
  32. 53
  33. 6
  34. 39
  35. 49
  36. 57
  37. 15
  38. 74
  39. 45
  40. 58

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