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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 405 · 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 237. What is the largest of them?
  2. 2.One number is 5 times another. Their difference is 64. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  4. 4.One number is 3 times another. Their difference is 80. What is the smaller number?
  5. 5.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?
  6. 6.The sum of two numbers is 49 and their difference is 45. What is the smaller number?
  7. 7.The sum of two numbers is 49 and their difference is 25. What is the larger number?
  8. 8.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  9. 9.The sum of two numbers is 73 and their difference is 35. What is the larger number?
  10. 10.The sum of 4 consecutive numbers is 34. What is the largest of them?
  11. 11.The sum of two numbers is 87 and their difference is 27. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 21. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 230. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 130. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 36. What is the smaller number?
  19. 19.The sum of two numbers is 128 and their difference is 40. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 42. What is the largest of them?
  22. 22.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  24. 24.One number is 3 times another. Their difference is 56. What is the smaller number?
  25. 25.The sum of two numbers is 57 and their difference is 29. What is the larger number?
  26. 26.One number is 6 times another. Their difference is 50. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  28. 28.The sum of 4 consecutive numbers is 54. What is the largest of them?
  29. 29.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  30. 30.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  31. 31.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  35. 35.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 30. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  40. 40.One number is 2 times another. Their difference is 8. What is the smaller number?

Answer key

  1. 81
  2. 16
  3. 64
  4. 40
  5. 56
  6. 2
  7. 37
  8. 35
  9. 54
  10. 10
  11. 30
  12. 7
  13. 55
  14. 59
  15. 26
  16. 78
  17. 37
  18. 36
  19. 44
  20. 79
  21. 12
  22. 13
  23. 51
  24. 28
  25. 43
  26. 10
  27. 19
  28. 15
  29. 27
  30. 60
  31. 54
  32. 66
  33. 44
  34. 51
  35. 25
  36. 46
  37. 22
  38. 30
  39. 19
  40. 8

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