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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 14 · 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.One number is 5 times another. Their difference is 76. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 48. What is the largest 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 9. What is the number?
  4. 4.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  5. 5.One number is 3 times another. Their difference is 26. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 126. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  8. 8.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 28. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  12. 12.The sum of two numbers is 47 and their difference is 27. What is the larger number?
  13. 13.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  14. 14.The sum of 4 consecutive numbers is 54. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 46. What is the largest of them?
  16. 16.One number is 3 times another. Their difference is 24. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 72. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 48. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 24. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  23. 23.The sum of two numbers is 55 and their difference is 33. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  25. 25.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  26. 26.One number is 2 times another. Their difference is 22. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  28. 28.One number is 6 times another. Their difference is 80. What is the smaller number?
  29. 29.The sum of two numbers is 75 and their difference is 47. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 160. What is the smaller number?
  31. 31.The sum of two numbers is 19 and their difference is 13. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  33. 33.The sum of two numbers is 69 and their difference is 47. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 12. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  36. 36.The sum of two numbers is 21 and their difference is 9. What is the smaller number?
  37. 37.The sum of two numbers is 83 and their difference is 31. What is the larger number?
  38. 38.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?
  39. 39.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  40. 40.The sum of 3 consecutive even numbers is 204. What is the smallest of them?

Answer key

  1. 19
  2. 17
  3. 78
  4. 54
  5. 13
  6. 41
  7. 34
  8. 15
  9. 20
  10. 28
  11. 81
  12. 37
  13. 24
  14. 15
  15. 13
  16. 12
  17. 18
  18. 24
  19. 9
  20. 37
  21. 84
  22. 16
  23. 11
  24. 36
  25. 57
  26. 22
  27. 67
  28. 16
  29. 14
  30. 32
  31. 3
  32. 72
  33. 11
  34. 3
  35. 87
  36. 6
  37. 57
  38. 89
  39. 53
  40. 66

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