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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 366 · 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 even numbers is 212. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 126. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 30. What is the smallest of them?
  5. 5.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 8. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  8. 8.One number is 3 times another. Their difference is 12. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  10. 10.The sum of two numbers is 117 and their difference is 25. What is the smaller number?
  11. 11.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?
  12. 12.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  13. 13.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 4 consecutive numbers is 214. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  17. 17.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?
  18. 18.One number is 6 times another. Their difference is 65. What is the smaller number?
  19. 19.The sum of two numbers is 85 and their difference is 25. What is the larger number?
  20. 20.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?
  21. 21.The sum of two numbers is 24 and their difference is 12. What is the larger number?
  22. 22.One number is 6 times another. Their difference is 30. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 81. What is the largest of them?
  24. 24.The sum of 5 consecutive numbers is 35. What is the largest of them?
  25. 25.The sum of 3 consecutive numbers is 168. What is the largest of them?
  26. 26.One number is 4 times another. Their difference is 120. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  34. 34.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  35. 35.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?
  36. 36.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  37. 37.One number is 6 times another. Their difference is 70. What is the smaller number?
  38. 38.The sum of 3 consecutive numbers is 36. What is the largest of them?
  39. 39.The sum of two numbers is 160 and their difference is 2. What is the larger number?
  40. 40.The sum of 5 consecutive numbers is 170. What is the smallest of them?

Answer key

  1. 50
  2. 35
  3. 33
  4. 6
  5. 79
  6. 4
  7. 57
  8. 6
  9. 66
  10. 46
  11. 46
  12. 17
  13. 77
  14. 24
  15. 55
  16. 50
  17. 56
  18. 13
  19. 55
  20. 79
  21. 18
  22. 6
  23. 28
  24. 9
  25. 57
  26. 40
  27. 31
  28. 12
  29. 14
  30. 47
  31. 58
  32. 33
  33. 57
  34. 78
  35. 89
  36. 9
  37. 14
  38. 13
  39. 81
  40. 32

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