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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 885 · 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 108. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  3. 3.The sum of two numbers is 107 and their difference is 1. What is the smaller number?
  4. 4.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?
  5. 5.One number is 4 times another. Their difference is 96. What is the smaller number?
  6. 6.One number is 5 times another. Their difference is 48. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 166. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  9. 9.One number is 6 times another. Their difference is 25. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  11. 11.The sum of two numbers is 125 and their difference is 53. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  16. 16.One number is 4 times another. Their difference is 36. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 270. What is the largest of them?
  18. 18.The sum of two numbers is 41 and their difference is 11. What is the larger number?
  19. 19.The sum of 3 consecutive numbers is 111. What is the largest of them?
  20. 20.The sum of two numbers is 167 and their difference is 1. What is the larger number?
  21. 21.The sum of 5 consecutive numbers is 245. What is the largest of them?
  22. 22.The sum of two numbers is 147 and their difference is 11. What is the larger number?
  23. 23.One number is 2 times another. Their difference is 21. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 100. What is the smaller number?
  28. 28.The sum of two numbers is 47 and their difference is 17. What is the smaller number?
  29. 29.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  30. 30.The sum of 4 consecutive numbers is 26. What is the largest of them?
  31. 31.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  32. 32.The sum of two numbers is 118 and their difference is 66. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 108. What is the smallest of them?
  35. 35.The sum of two numbers is 57 and their difference is 17. What is the larger number?
  36. 36.The sum of 5 consecutive numbers is 125. What is the largest of them?
  37. 37.One number is 5 times another. Their difference is 20. What is the smaller number?
  38. 38.One number is 3 times another. Their difference is 32. What is the smaller number?
  39. 39.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 108. What is the smallest of them?

Answer key

  1. 30
  2. 67
  3. 53
  4. 79
  5. 32
  6. 12
  7. 40
  8. 54
  9. 5
  10. 30
  11. 36
  12. 25
  13. 64
  14. 74
  15. 37
  16. 12
  17. 56
  18. 26
  19. 38
  20. 84
  21. 51
  22. 79
  23. 21
  24. 35
  25. 41
  26. 59
  27. 25
  28. 15
  29. 61
  30. 8
  31. 81
  32. 26
  33. 39
  34. 35
  35. 37
  36. 27
  37. 5
  38. 16
  39. 12
  40. 34

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