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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 272 · 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 numbers is 18. What is the largest of them?
  2. 2.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  4. 4.The sum of two numbers is 49 and their difference is 27. What is the larger number?
  5. 5.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  6. 6.The sum of two numbers is 163 and their difference is 19. What is the smaller number?
  7. 7.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?
  8. 8.One number is 2 times another. Their difference is 14. What is the smaller number?
  9. 9.The sum of two numbers is 133 and their difference is 37. What is the smaller number?
  10. 10.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 24. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 32. What is the smaller number?
  16. 16.The sum of two numbers is 89 and their difference is 35. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  18. 18.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  19. 19.The sum of two numbers is 97 and their difference is 17. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 123. What is the largest of them?
  21. 21.The sum of 3 consecutive numbers is 75. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  23. 23.The sum of two numbers is 20 and their difference is 12. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 36. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  26. 26.The sum of two numbers is 16 and their difference is 10. What is the larger number?
  27. 27.One number is 5 times another. Their difference is 100. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  29. 29.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  31. 31.The sum of two numbers is 108 and their difference is 48. What is the smaller number?
  32. 32.The sum of two numbers is 152 and their difference is 46. What is the larger number?
  33. 33.The sum of two numbers is 26 and their difference is 4. What is the larger number?
  34. 34.The sum of two numbers is 58 and their difference is 52. What is the larger number?
  35. 35.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  36. 36.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?
  37. 37.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  38. 38.The sum of two numbers is 137 and their difference is 9. What is the smaller number?
  39. 39.The sum of two numbers is 87 and their difference is 5. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 44. What is the largest of them?

Answer key

  1. 7
  2. 36
  3. 59
  4. 38
  5. 58
  6. 72
  7. 89
  8. 14
  9. 48
  10. 30
  11. 52
  12. 12
  13. 64
  14. 8
  15. 16
  16. 27
  17. 86
  18. 38
  19. 40
  20. 42
  21. 26
  22. 40
  23. 4
  24. 36
  25. 37
  26. 13
  27. 25
  28. 46
  29. 34
  30. 18
  31. 30
  32. 99
  33. 15
  34. 55
  35. 63
  36. 17
  37. 23
  38. 64
  39. 46
  40. 14

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