← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 565 · 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 two numbers is 97 and their difference is 39. What is the larger number?
  2. 2.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?
  3. 3.One number is 6 times another. Their difference is 200. What is the smaller number?
  4. 4.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?
  5. 5.The sum of 4 consecutive numbers is 102. What is the largest of them?
  6. 6.One number is 2 times another. Their difference is 5. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 78. What is the largest of them?
  10. 10.The sum of two numbers is 39 and their difference is 17. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 72. What is the smaller number?
  12. 12.The sum of two numbers is 158 and their difference is 4. What is the larger number?
  13. 13.The sum of 5 consecutive numbers is 295. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  15. 15.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  16. 16.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  18. 18.One number is 5 times another. Their difference is 88. What is the smaller number?
  19. 19.The sum of two numbers is 115 and their difference is 41. What is the larger number?
  20. 20.The sum of two numbers is 70 and their difference is 52. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  22. 22.The sum of two numbers is 42 and their difference is 24. What is the larger number?
  23. 23.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 26. What is the smaller number?
  25. 25.The sum of two numbers is 134 and their difference is 52. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  27. 27.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?
  28. 28.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?
  29. 29.The sum of 4 consecutive numbers is 50. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  31. 31.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  32. 32.The sum of 4 consecutive odd numbers is 224. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 57. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 122 and their difference is 34. What is the larger number?
  37. 37.The sum of 5 consecutive numbers is 300. What is the largest of them?
  38. 38.One number is 5 times another. Their difference is 76. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 21. What is the smaller number?
  40. 40.One number is 3 times another. Their difference is 78. What is the smaller number?

Answer key

  1. 68
  2. 15
  3. 40
  4. 35
  5. 27
  6. 5
  7. 13
  8. 40
  9. 27
  10. 11
  11. 24
  12. 81
  13. 61
  14. 71
  15. 7
  16. 13
  17. 39
  18. 22
  19. 78
  20. 9
  21. 5
  22. 33
  23. 18
  24. 26
  25. 41
  26. 64
  27. 78
  28. 59
  29. 14
  30. 40
  31. 47
  32. 59
  33. 20
  34. 34
  35. 89
  36. 78
  37. 62
  38. 19
  39. 7
  40. 39

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