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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 477 · 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 99. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 48. What is the smaller number?
  4. 4.The sum of two numbers is 55 and their difference is 19. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  6. 6.The sum of two numbers is 21 and their difference is 1. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 145. What is the smallest of them?
  8. 8.One number is 2 times another. Their difference is 25. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  10. 10.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  11. 11.The sum of 3 consecutive odd numbers is 51. What is the smallest of them?
  12. 12.One number is 4 times another. Their difference is 90. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  14. 14.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?
  15. 15.One number is 4 times another. Their difference is 84. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 280. What is the largest of them?
  17. 17.The sum of two numbers is 73 and their difference is 23. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 165. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 51. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  22. 22.One number is 5 times another. Their difference is 136. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  27. 27.One number is 6 times another. Their difference is 45. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  29. 29.The sum of 4 consecutive numbers is 238. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 122. What is the largest of them?
  31. 31.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  32. 32.The sum of 4 consecutive numbers is 90. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 51. What is the largest of them?
  34. 34.One number is 2 times another. Their difference is 15. What is the smaller number?
  35. 35.One number is 5 times another. Their difference is 96. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 36. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 129. What is the largest of them?
  38. 38.The sum of two numbers is 125 and their difference is 55. What is the larger number?
  39. 39.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  40. 40.The sum of two numbers is 27 and their difference is 1. What is the smaller number?

Answer key

  1. 31
  2. 25
  3. 16
  4. 18
  5. 34
  6. 10
  7. 27
  8. 25
  9. 51
  10. 50
  11. 15
  12. 30
  13. 12
  14. 89
  15. 28
  16. 58
  17. 25
  18. 8
  19. 56
  20. 17
  21. 68
  22. 34
  23. 56
  24. 12
  25. 23
  26. 62
  27. 9
  28. 47
  29. 61
  30. 32
  31. 17
  32. 24
  33. 18
  34. 15
  35. 24
  36. 9
  37. 44
  38. 90
  39. 73
  40. 13

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