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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 478 · 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 two numbers is 17 and their difference is 9. What is the larger number?
  2. 2.One number is 5 times another. Their difference is 68. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 42. What is the largest of them?
  4. 4.One number is 3 times another. Their difference is 42. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 24. What is the smaller number?
  6. 6.One number is 2 times another. Their difference is 37. What is the smaller number?
  7. 7.The sum of two numbers is 123 and their difference is 55. What is the larger number?
  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 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?
  10. 10.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 22. What is the smaller number?
  12. 12.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?
  13. 13.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?
  14. 14.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  16. 16.The sum of two numbers is 103 and their difference is 87. What is the larger number?
  17. 17.The sum of two numbers is 53 and their difference is 25. What is the smaller number?
  18. 18.The sum of two numbers is 97 and their difference is 69. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 72. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  23. 23.The sum of two numbers is 158 and their difference is 26. What is the larger number?
  24. 24.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?
  25. 25.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 44 and their difference is 34. What is the larger number?
  28. 28.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  31. 31.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?
  32. 32.The sum of two numbers is 96 and their difference is 68. What is the larger number?
  33. 33.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  34. 34.The sum of 3 consecutive numbers is 144. What is the largest of them?
  35. 35.The sum of 5 consecutive numbers is 170. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 84. What is the largest of them?
  38. 38.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 228. What is the largest of them?

Answer key

  1. 13
  2. 17
  3. 15
  4. 21
  5. 6
  6. 37
  7. 89
  8. 57
  9. 78
  10. 12
  11. 11
  12. 59
  13. 47
  14. 56
  15. 19
  16. 95
  17. 14
  18. 14
  19. 24
  20. 33
  21. 37
  22. 54
  23. 92
  24. 17
  25. 57
  26. 79
  27. 39
  28. 6
  29. 16
  30. 35
  31. 89
  32. 82
  33. 45
  34. 49
  35. 36
  36. 53
  37. 29
  38. 76
  39. 25
  40. 78

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