← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 470 · 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 4 consecutive even numbers is 60. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  3. 3.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of 4 consecutive numbers is 142. What is the largest of them?
  7. 7.One number is 3 times another. Their difference is 72. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  9. 9.The sum of two numbers is 15 and their difference is 5. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 48. What is the largest of them?
  11. 11.The sum of two numbers is 42 and their difference is 40. What is the larger number?
  12. 12.One number is 3 times another. Their difference is 10. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 138. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 126. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 68. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 102. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  19. 19.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  20. 20.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  21. 21.The sum of two numbers is 24 and their difference is 22. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  24. 24.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?
  25. 25.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?
  26. 26.One number is 3 times another. Their difference is 76. What is the smaller number?
  27. 27.The sum of two numbers is 152 and their difference is 2. What is the larger number?
  28. 28.The sum of two numbers is 49 and their difference is 1. What is the larger number?
  29. 29.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  30. 30.One number is 3 times another. Their difference is 68. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  32. 32.One number is 2 times another. Their difference is 9. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  34. 34.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?
  35. 35.The sum of 4 consecutive numbers is 182. What is the largest of them?
  36. 36.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  37. 37.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?
  38. 38.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?
  39. 39.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  40. 40.The sum of two numbers is 123 and their difference is 11. What is the smaller number?

Answer key

  1. 18
  2. 19
  3. 67
  4. 54
  5. 25
  6. 37
  7. 36
  8. 68
  9. 10
  10. 17
  11. 41
  12. 5
  13. 52
  14. 47
  15. 43
  16. 17
  17. 36
  18. 23
  19. 80
  20. 24
  21. 1
  22. 37
  23. 18
  24. 79
  25. 59
  26. 38
  27. 77
  28. 25
  29. 48
  30. 34
  31. 31
  32. 9
  33. 36
  34. 28
  35. 47
  36. 80
  37. 45
  38. 35
  39. 66
  40. 56

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