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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 500 · 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 228. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 34. What is the largest of them?
  6. 6.The sum of two numbers is 40 and their difference is 32. What is the larger number?
  7. 7.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive numbers is 30. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  11. 11.One number is 2 times another. Their difference is 12. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 111. What is the smallest of them?
  14. 14.The sum of two numbers is 31 and their difference is 1. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 51. What is the largest of them?
  16. 16.The sum of 4 consecutive even numbers is 180. What is the largest of them?
  17. 17.The sum of 5 consecutive numbers is 195. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  19. 19.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?
  20. 20.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?
  21. 21.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  22. 22.One number is 3 times another. Their difference is 30. What is the smaller number?
  23. 23.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  25. 25.The sum of two numbers is 70 and their difference is 52. What is the larger number?
  26. 26.One number is 2 times another. Their difference is 15. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 25. What is the smaller number?
  28. 28.The sum of two numbers is 179 and their difference is 13. What is the larger number?
  29. 29.The sum of two numbers is 45 and their difference is 19. What is the smaller number?
  30. 30.The sum of two numbers is 85 and their difference is 15. What is the larger number?
  31. 31.One number is 5 times another. Their difference is 132. What is the smaller number?
  32. 32.The sum of two numbers is 35 and their difference is 25. What is the larger number?
  33. 33.One number is 4 times another. Their difference is 72. What is the smaller number?
  34. 34.The sum of two numbers is 112 and their difference is 78. What is the smaller number?
  35. 35.The sum of 4 consecutive numbers is 90. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 188. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 202. What is the largest of them?
  40. 40.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?

Answer key

  1. 60
  2. 41
  3. 69
  4. 60
  5. 10
  6. 36
  7. 32
  8. 57
  9. 11
  10. 41
  11. 12
  12. 27
  13. 36
  14. 15
  15. 18
  16. 48
  17. 41
  18. 48
  19. 67
  20. 27
  21. 41
  22. 15
  23. 33
  24. 13
  25. 61
  26. 15
  27. 25
  28. 96
  29. 13
  30. 50
  31. 33
  32. 30
  33. 24
  34. 17
  35. 24
  36. 56
  37. 44
  38. 76
  39. 52
  40. 78

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