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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 69 · 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 42 and their difference is 36. What is the larger number?
  2. 2.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  3. 3.The sum of two numbers is 58 and their difference is 46. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 86. What is the largest of them?
  5. 5.The sum of two numbers is 79 and their difference is 33. What is the larger number?
  6. 6.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  7. 7.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  8. 8.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?
  9. 9.The sum of two numbers is 104 and their difference is 82. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 129. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 155. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  13. 13.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  14. 14.One number is 5 times another. Their difference is 16. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 168. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 75. What is the largest of them?
  19. 19.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  21. 21.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  22. 22.One number is 4 times another. Their difference is 48. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 200. What is the smaller number?
  24. 24.The sum of two numbers is 21 and their difference is 15. What is the larger number?
  25. 25.The sum of 5 consecutive numbers is 205. What is the smallest of them?
  26. 26.The sum of two numbers is 100 and their difference is 62. What is the smaller number?
  27. 27.The sum of two numbers is 27 and their difference is 11. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 60. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.The sum of 4 consecutive odd numbers is 336. What is the largest of them?
  31. 31.One number is 3 times another. Their difference is 46. What is the smaller number?
  32. 32.One number is 5 times another. Their difference is 12. What is the smaller number?
  33. 33.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  34. 34.The sum of two numbers is 88 and their difference is 78. What is the smaller number?
  35. 35.The sum of two numbers is 31 and their difference is 21. What is the larger number?
  36. 36.One number is 4 times another. Their difference is 78. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  38. 38.One number is 3 times another. Their difference is 72. What is the smaller number?
  39. 39.The sum of two numbers is 63 and their difference is 25. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 156. What is the largest of them?

Answer key

  1. 39
  2. 31
  3. 6
  4. 23
  5. 56
  6. 15
  7. 19
  8. 78
  9. 93
  10. 44
  11. 33
  12. 38
  13. 57
  14. 4
  15. 69
  16. 78
  17. 57
  18. 26
  19. 36
  20. 37
  21. 30
  22. 16
  23. 40
  24. 18
  25. 39
  26. 19
  27. 8
  28. 12
  29. 12
  30. 87
  31. 23
  32. 3
  33. 71
  34. 5
  35. 26
  36. 26
  37. 84
  38. 36
  39. 44
  40. 42

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