← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 812 · 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 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?
  2. 2.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  4. 4.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?
  5. 5.The sum of two numbers is 68 and their difference is 60. What is the larger number?
  6. 6.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  7. 7.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  8. 8.The sum of two numbers is 46 and their difference is 28. What is the larger number?
  9. 9.One number is 5 times another. Their difference is 40. What is the smaller number?
  10. 10.One number is 3 times another. Their difference is 62. What is the smaller number?
  11. 11.The sum of two numbers is 38 and their difference is 6. What is the smaller number?
  12. 12.The sum of two numbers is 107 and their difference is 59. What is the larger number?
  13. 13.The sum of 3 consecutive odd numbers is 165. What is the smallest of them?
  14. 14.One number is 4 times another. Their difference is 60. What is the smaller number?
  15. 15.One number is 2 times another. Their difference is 22. What is the smaller number?
  16. 16.One number is 3 times another. Their difference is 70. What is the smaller number?
  17. 17.One number is 2 times another. Their difference is 16. What is the smaller number?
  18. 18.One number is 5 times another. Their difference is 144. What is the smaller number?
  19. 19.The sum of two numbers is 67 and their difference is 11. What is the larger number?
  20. 20.One number is 4 times another. Their difference is 96. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 36. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  25. 25.One number is 5 times another. Their difference is 60. What is the smaller number?
  26. 26.One number is 5 times another. Their difference is 20. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 26. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 178. What is the largest of them?
  29. 29.One number is 5 times another. Their difference is 72. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  32. 32.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  33. 33.The sum of two numbers is 36 and their difference is 22. What is the larger number?
  34. 34.The sum of two numbers is 135 and their difference is 57. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 4. What is the smaller number?
  36. 36.The sum of two numbers is 87 and their difference is 33. What is the larger number?
  37. 37.The sum of two numbers is 119 and their difference is 51. What is the larger number?
  38. 38.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  39. 39.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  40. 40.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 56
  2. 60
  3. 29
  4. 68
  5. 64
  6. 48
  7. 21
  8. 37
  9. 10
  10. 31
  11. 16
  12. 83
  13. 53
  14. 20
  15. 22
  16. 35
  17. 16
  18. 36
  19. 39
  20. 32
  21. 59
  22. 48
  23. 12
  24. 79
  25. 15
  26. 5
  27. 13
  28. 46
  29. 18
  30. 46
  31. 37
  32. 34
  33. 29
  34. 39
  35. 4
  36. 60
  37. 85
  38. 60
  39. 28
  40. 45

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude