← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 645 · 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 14. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of two numbers is 107 and their difference is 45. What is the smaller number?
  3. 3.One number is 3 times another. Their difference is 22. What is the smaller number?
  4. 4.The sum of two numbers is 65 and their difference is 5. What is the smaller number?
  5. 5.One number is 5 times another. Their difference is 152. What is the smaller number?
  6. 6.One number is 6 times another. Their difference is 160. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 9. What is the smaller number?
  8. 8.The sum of two numbers is 36 and their difference is 10. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of 4 consecutive odd numbers is 72. What is the smallest of them?
  12. 12.The sum of 4 consecutive numbers is 26. What is the largest of them?
  13. 13.One number is 4 times another. Their difference is 42. What is the smaller number?
  14. 14.The sum of 3 consecutive numbers is 129. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 159. What is the largest of them?
  16. 16.The sum of two numbers is 98 and their difference is 86. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 56. What is the smaller number?
  18. 18.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  19. 19.One number is 4 times another. Their difference is 84. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  21. 21.The sum of two numbers is 34 and their difference is 18. What is the larger number?
  22. 22.One number is 3 times another. Their difference is 30. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  24. 24.One number is 2 times another. Their difference is 23. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  26. 26.The sum of two numbers is 54 and their difference is 50. What is the larger number?
  27. 27.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  28. 28.The sum of two numbers is 51 and their difference is 27. What is the larger number?
  29. 29.One number is 5 times another. Their difference is 92. What is the smaller number?
  30. 30.The sum of two numbers is 86 and their difference is 46. What is the larger number?
  31. 31.One number is 2 times another. Their difference is 25. What is the smaller number?
  32. 32.The sum of two numbers is 18 and their difference is 12. What is the smaller number?
  33. 33.The sum of two numbers is 27 and their difference is 9. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  36. 36.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 168. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 142. What is the largest of them?
  40. 40.One number is 5 times another. Their difference is 100. What is the smaller number?

Answer key

  1. 68
  2. 31
  3. 11
  4. 30
  5. 38
  6. 32
  7. 9
  8. 13
  9. 37
  10. 36
  11. 15
  12. 8
  13. 14
  14. 44
  15. 54
  16. 6
  17. 28
  18. 26
  19. 28
  20. 39
  21. 26
  22. 15
  23. 27
  24. 23
  25. 42
  26. 52
  27. 63
  28. 39
  29. 23
  30. 66
  31. 25
  32. 3
  33. 18
  34. 12
  35. 45
  36. 59
  37. 49
  38. 39
  39. 37
  40. 25

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