← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 649 · 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 3 consecutive numbers is 123. What is the largest of them?
  2. 2.One number is 3 times another. Their difference is 10. What is the smaller number?
  3. 3.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?
  4. 4.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?
  5. 5.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  6. 6.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  7. 7.One number is 3 times another. Their difference is 46. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  10. 10.The sum of two numbers is 130 and their difference is 22. What is the smaller number?
  11. 11.One number is 5 times another. Their difference is 100. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 105. What is the largest of them?
  13. 13.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?
  14. 14.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 170. What is the largest of them?
  17. 17.The sum of two numbers is 91 and their difference is 17. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 78. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 74. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 222. What is the largest of them?
  21. 21.The sum of two numbers is 52 and their difference is 36. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 18. What is the smaller number?
  23. 23.The sum of two numbers is 90 and their difference is 80. What is the larger number?
  24. 24.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of two numbers is 83 and their difference is 69. What is the smaller number?
  28. 28.The sum of two numbers is 87 and their difference is 9. What is the smaller number?
  29. 29.The sum of two numbers is 61 and their difference is 29. What is the larger number?
  30. 30.One number is 6 times another. Their difference is 50. What is the smaller number?
  31. 31.The sum of two numbers is 82 and their difference is 12. What is the smaller number?
  32. 32.The sum of two numbers is 49 and their difference is 27. What is the smaller number?
  33. 33.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?
  34. 34.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?
  35. 35.The sum of two numbers is 101 and their difference is 17. What is the smaller number?
  36. 36.One number is 3 times another. Their difference is 24. What is the smaller number?
  37. 37.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?
  38. 38.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  39. 39.The sum of two numbers is 140 and their difference is 24. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 66. What is the smallest of them?

Answer key

  1. 42
  2. 5
  3. 56
  4. 67
  5. 47
  6. 14
  7. 23
  8. 40
  9. 44
  10. 54
  11. 25
  12. 36
  13. 89
  14. 22
  15. 25
  16. 44
  17. 37
  18. 26
  19. 20
  20. 57
  21. 8
  22. 18
  23. 85
  24. 9
  25. 16
  26. 78
  27. 7
  28. 39
  29. 45
  30. 10
  31. 35
  32. 11
  33. 79
  34. 38
  35. 42
  36. 12
  37. 57
  38. 75
  39. 58
  40. 15

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