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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 398 · 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 even numbers is 198. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  3. 3.The sum of two numbers is 21 and their difference is 19. What is the smaller number?
  4. 4.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  8. 8.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  10. 10.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  11. 11.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  12. 12.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?
  13. 13.The sum of 5 consecutive numbers is 205. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  16. 16.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  18. 18.The sum of two numbers is 117 and their difference is 41. What is the larger number?
  19. 19.The sum of 4 consecutive numbers is 218. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  21. 21.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  22. 22.The sum of two numbers is 17 and their difference is 3. What is the larger number?
  23. 23.The sum of two numbers is 45 and their difference is 13. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 36. What is the smaller number?
  25. 25.The sum of 4 consecutive even numbers is 268. What is the smallest of them?
  26. 26.One number is 6 times another. Their difference is 85. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  28. 28.The sum of two numbers is 18 and their difference is 10. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 21. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 154. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  33. 33.One number is 6 times another. Their difference is 55. What is the smaller number?
  34. 34.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?
  35. 35.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  36. 36.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  39. 39.One number is 3 times another. Their difference is 52. What is the smaller number?
  40. 40.The sum of two numbers is 20 and their difference is 14. What is the smaller number?

Answer key

  1. 64
  2. 50
  3. 1
  4. 30
  5. 78
  6. 42
  7. 38
  8. 49
  9. 41
  10. 73
  11. 29
  12. 56
  13. 43
  14. 23
  15. 44
  16. 66
  17. 35
  18. 79
  19. 56
  20. 69
  21. 6
  22. 10
  23. 16
  24. 18
  25. 64
  26. 17
  27. 34
  28. 4
  29. 21
  30. 40
  31. 42
  32. 17
  33. 11
  34. 89
  35. 38
  36. 36
  37. 23
  38. 71
  39. 26
  40. 3

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