← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 446 · 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 17. When the digits swap places, the number goes up by 9. What is the number?
  2. 2.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?
  3. 3.One number is 3 times another. Their difference is 74. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  5. 5.One number is 4 times another. Their difference is 63. What is the smaller number?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of two numbers is 95 and their difference is 91. What is the larger number?
  9. 9.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  11. 11.The sum of two numbers is 76 and their difference is 4. What is the smaller number?
  12. 12.The sum of 4 consecutive numbers is 170. What is the largest of them?
  13. 13.One number is 3 times another. Their difference is 26. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  15. 15.The sum of two numbers is 64 and their difference is 12. What is the larger number?
  16. 16.The sum of two numbers is 73 and their difference is 25. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 20. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  19. 19.The sum of two numbers is 28 and their difference is 14. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 94. What is the largest of them?
  21. 21.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  22. 22.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?
  23. 23.One number is 2 times another. Their difference is 30. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  25. 25.The sum of 3 consecutive numbers is 24. What is the largest of them?
  26. 26.The sum of two numbers is 47 and their difference is 5. What is the smaller number?
  27. 27.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?
  28. 28.The sum of 4 consecutive numbers is 230. What is the largest of them?
  29. 29.The sum of two numbers is 122 and their difference is 2. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 51. What is the largest of them?
  32. 32.One number is 5 times another. Their difference is 16. What is the smaller number?
  33. 33.The sum of two numbers is 99 and their difference is 69. What is the smaller number?
  34. 34.One number is 6 times another. Their difference is 150. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 26. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 42. What is the smaller number?
  37. 37.One number is 3 times another. Their difference is 60. What is the smaller number?
  38. 38.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  39. 39.The sum of two numbers is 63 and their difference is 5. What is the smaller number?
  40. 40.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?

Answer key

  1. 89
  2. 39
  3. 37
  4. 20
  5. 21
  6. 14
  7. 19
  8. 93
  9. 69
  10. 18
  11. 36
  12. 44
  13. 13
  14. 39
  15. 38
  16. 24
  17. 5
  18. 68
  19. 7
  20. 25
  21. 50
  22. 57
  23. 30
  24. 29
  25. 9
  26. 21
  27. 49
  28. 59
  29. 60
  30. 15
  31. 18
  32. 4
  33. 15
  34. 30
  35. 26
  36. 21
  37. 30
  38. 27
  39. 29
  40. 38

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