← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 630 · 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 2 times another. Their difference is 21. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  4. 4.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  6. 6.One number is 4 times another. Their difference is 51. What is the smaller number?
  7. 7.The sum of two numbers is 21 and their difference is 13. What is the smaller number?
  8. 8.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  9. 9.One number is 4 times another. Their difference is 99. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 225. What is the largest of them?
  12. 12.The sum of two numbers is 115 and their difference is 45. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 51. What is the largest of them?
  16. 16.One number is 4 times another. Their difference is 66. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 255. What is the largest of them?
  18. 18.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  19. 19.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  20. 20.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  21. 21.One number is 2 times another. Their difference is 10. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 115. What is the smaller number?
  23. 23.One number is 2 times another. Their difference is 9. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 20. What is the smaller number?
  25. 25.The sum of two numbers is 79 and their difference is 5. What is the larger number?
  26. 26.The sum of 4 consecutive odd numbers is 40. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  28. 28.One number is 5 times another. Their difference is 132. What is the smaller number?
  29. 29.The sum of two numbers is 170 and their difference is 6. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  31. 31.The sum of two numbers is 27 and their difference is 9. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  34. 34.The sum of two numbers is 58 and their difference is 44. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 20. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  37. 37.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  38. 38.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  39. 39.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?
  40. 40.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?

Answer key

  1. 21
  2. 81
  3. 40
  4. 46
  5. 16
  6. 17
  7. 4
  8. 62
  9. 33
  10. 48
  11. 47
  12. 80
  13. 29
  14. 57
  15. 18
  16. 22
  17. 53
  18. 49
  19. 15
  20. 32
  21. 10
  22. 23
  23. 9
  24. 10
  25. 42
  26. 7
  27. 63
  28. 33
  29. 82
  30. 8
  31. 9
  32. 15
  33. 29
  34. 7
  35. 4
  36. 23
  37. 16
  38. 34
  39. 59
  40. 78

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