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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 225 · 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 153. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  5. 5.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  6. 6.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 275. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  10. 10.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  13. 13.One number is 3 times another. Their difference is 70. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  15. 15.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 160. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 12. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  21. 21.The sum of two numbers is 109 and their difference is 11. What is the smaller number?
  22. 22.The sum of two numbers is 76 and their difference is 10. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  24. 24.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?
  25. 25.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?
  26. 26.One number is 4 times another. Their difference is 99. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 65. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  32. 32.One number is 5 times another. Their difference is 108. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  34. 34.One number is 3 times another. Their difference is 50. What is the smaller number?
  35. 35.The sum of 5 consecutive numbers is 35. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 24. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  38. 38.One number is 3 times another. Their difference is 74. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 75. What is the largest of them?

Answer key

  1. 53
  2. 15
  3. 13
  4. 27
  5. 28
  6. 16
  7. 57
  8. 28
  9. 82
  10. 50
  11. 37
  12. 35
  13. 35
  14. 10
  15. 83
  16. 40
  17. 20
  18. 44
  19. 6
  20. 6
  21. 49
  22. 33
  23. 32
  24. 57
  25. 28
  26. 33
  27. 15
  28. 55
  29. 52
  30. 25
  31. 71
  32. 27
  33. 52
  34. 25
  35. 9
  36. 6
  37. 12
  38. 37
  39. 71
  40. 26

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