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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 31 · 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 80. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 108. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 18. What is the largest of them?
  9. 9.The sum of two numbers is 53 and their difference is 19. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 39. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  13. 13.The sum of two numbers is 34 and their difference is 10. What is the larger number?
  14. 14.One number is 4 times another. Their difference is 66. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  16. 16.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  17. 17.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?
  18. 18.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?
  19. 19.One number is 6 times another. Their difference is 20. What is the smaller number?
  20. 20.One number is 6 times another. Their difference is 15. What is the smaller number?
  21. 21.One number is 6 times another. Their difference is 25. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 132. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 195. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  28. 28.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  30. 30.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?
  31. 31.The sum of two numbers is 94 and their difference is 8. What is the larger number?
  32. 32.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 66. What is the largest of them?
  34. 34.The sum of two numbers is 159 and their difference is 9. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 159. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  37. 37.The sum of two numbers is 58 and their difference is 56. What is the larger number?
  38. 38.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  39. 39.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?
  40. 40.The sum of 4 consecutive odd numbers is 256. What is the largest of them?

Answer key

  1. 20
  2. 36
  3. 19
  4. 37
  5. 49
  6. 13
  7. 34
  8. 7
  9. 36
  10. 14
  11. 68
  12. 11
  13. 22
  14. 22
  15. 14
  16. 23
  17. 79
  18. 78
  19. 4
  20. 3
  21. 5
  22. 89
  23. 62
  24. 45
  25. 41
  26. 38
  27. 65
  28. 46
  29. 13
  30. 56
  31. 51
  32. 82
  33. 24
  34. 75
  35. 54
  36. 34
  37. 57
  38. 28
  39. 35
  40. 67

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