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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 28 · 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 5 consecutive numbers is 45. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  8. 8.The sum of two numbers is 84 and their difference is 72. What is the larger number?
  9. 9.One number is 4 times another. Their difference is 45. What is the smaller number?
  10. 10.The sum of two numbers is 55 and their difference is 53. What is the larger number?
  11. 11.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.One number is 4 times another. Their difference is 81. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 275. What is the largest of them?
  14. 14.The sum of two numbers is 39 and their difference is 17. What is the larger number?
  15. 15.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  17. 17.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?
  18. 18.One number is 2 times another. Their difference is 28. What is the smaller number?
  19. 19.The sum of two numbers is 90 and their difference is 8. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 108. What is the largest of them?
  21. 21.The sum of two numbers is 51 and their difference is 43. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 33. What is the largest of them?
  24. 24.One number is 2 times another. Their difference is 40. What is the smaller number?
  25. 25.The sum of two numbers is 86 and their difference is 24. What is the smaller number?
  26. 26.The sum of two numbers is 31 and their difference is 27. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 118. What is the largest of them?
  29. 29.One number is 3 times another. Their difference is 10. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 45. What is the largest of them?
  33. 33.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  34. 34.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 45. What is the largest of them?
  36. 36.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?
  37. 37.The sum of two numbers is 16 and their difference is 14. What is the smaller number?
  38. 38.The sum of two numbers is 106 and their difference is 92. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 200. What is the largest of them?
  40. 40.The sum of 4 consecutive even numbers is 140. What is the largest of them?

Answer key

  1. 11
  2. 47
  3. 89
  4. 57
  5. 22
  6. 45
  7. 26
  8. 78
  9. 15
  10. 54
  11. 35
  12. 27
  13. 57
  14. 28
  15. 65
  16. 21
  17. 56
  18. 28
  19. 41
  20. 37
  21. 4
  22. 24
  23. 12
  24. 40
  25. 31
  26. 2
  27. 70
  28. 31
  29. 5
  30. 31
  31. 59
  32. 17
  33. 26
  34. 32
  35. 16
  36. 79
  37. 1
  38. 7
  39. 53
  40. 38

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