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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 92 · 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 4 consecutive odd numbers is 64. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 190. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  5. 5.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  7. 7.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  8. 8.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  9. 9.The sum of two numbers is 62 and their difference is 44. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  11. 11.One number is 6 times another. Their difference is 20. What is the smaller number?
  12. 12.One number is 2 times another. Their difference is 37. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  14. 14.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  15. 15.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  16. 16.One number is 3 times another. Their difference is 26. What is the smaller number?
  17. 17.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?
  18. 18.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?
  19. 19.The sum of 4 consecutive numbers is 134. What is the smallest of them?
  20. 20.One number is 4 times another. Their difference is 24. What is the smaller number?
  21. 21.The sum of two numbers is 64 and their difference is 38. What is the larger number?
  22. 22.One number is 5 times another. Their difference is 108. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  24. 24.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 18. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 30. What is the smaller number?
  27. 27.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  28. 28.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  29. 29.The sum of two numbers is 47 and their difference is 39. What is the smaller number?
  30. 30.The sum of two numbers is 74 and their difference is 22. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 160. What is the largest of them?
  32. 32.One number is 3 times another. Their difference is 52. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 102. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 230. What is the largest of them?
  35. 35.The sum of two numbers is 30 and their difference is 28. What is the larger number?
  36. 36.The sum of two numbers is 27 and their difference is 3. What is the larger number?
  37. 37.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  39. 39.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 170. What is the smallest of them?

Answer key

  1. 13
  2. 79
  3. 49
  4. 16
  5. 12
  6. 46
  7. 53
  8. 81
  9. 53
  10. 11
  11. 4
  12. 37
  13. 26
  14. 50
  15. 43
  16. 13
  17. 89
  18. 28
  19. 32
  20. 8
  21. 51
  22. 27
  23. 43
  24. 51
  25. 18
  26. 6
  27. 24
  28. 5
  29. 4
  30. 26
  31. 34
  32. 26
  33. 35
  34. 59
  35. 29
  36. 15
  37. 24
  38. 47
  39. 80
  40. 41

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