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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 415 · 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 207. What is the largest of them?
  2. 2.One number is 6 times another. Their difference is 180. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  4. 4.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  5. 5.The sum of two numbers is 24 and their difference is 6. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  8. 8.The sum of two numbers is 144 and their difference is 36. What is the smaller number?
  9. 9.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  10. 10.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  12. 12.One number is 3 times another. Their difference is 18. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 24. What is the smaller number?
  16. 16.One number is 6 times another. Their difference is 150. What is the smaller number?
  17. 17.The sum of two numbers is 88 and their difference is 56. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  19. 19.One number is 5 times another. Their difference is 24. What is the smaller number?
  20. 20.The sum of two numbers is 14 and their difference is 8. What is the smaller number?
  21. 21.The sum of two numbers is 124 and their difference is 22. What is the larger number?
  22. 22.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  23. 23.The sum of two numbers is 26 and their difference is 10. What is the larger number?
  24. 24.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  25. 25.The sum of 5 consecutive numbers is 295. What is the largest of them?
  26. 26.One number is 5 times another. Their difference is 160. What is the smaller number?
  27. 27.One number is 5 times another. Their difference is 128. What is the smaller number?
  28. 28.The sum of two numbers is 39 and their difference is 21. What is the smaller number?
  29. 29.One number is 6 times another. Their difference is 50. What is the smaller number?
  30. 30.The sum of two numbers is 94 and their difference is 28. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  32. 32.The sum of two numbers is 78 and their difference is 26. What is the smaller number?
  33. 33.The sum of two numbers is 35 and their difference is 31. What is the larger number?
  34. 34.One number is 6 times another. Their difference is 45. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  36. 36.The sum of two numbers is 100 and their difference is 2. What is the smaller number?
  37. 37.The sum of two numbers is 34 and their difference is 16. What is the smaller number?
  38. 38.The sum of two numbers is 56 and their difference is 36. What is the larger number?
  39. 39.The sum of 4 consecutive numbers is 230. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?

Answer key

  1. 71
  2. 36
  3. 59
  4. 23
  5. 9
  6. 18
  7. 23
  8. 54
  9. 15
  10. 75
  11. 22
  12. 9
  13. 35
  14. 12
  15. 12
  16. 30
  17. 16
  18. 18
  19. 6
  20. 3
  21. 73
  22. 82
  23. 18
  24. 19
  25. 61
  26. 40
  27. 32
  28. 9
  29. 10
  30. 33
  31. 55
  32. 26
  33. 33
  34. 9
  35. 49
  36. 49
  37. 9
  38. 46
  39. 59
  40. 55

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