← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 708 · 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 50 and their difference is 42. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  4. 4.The sum of two numbers is 42 and their difference is 26. What is the smaller number?
  5. 5.The sum of two numbers is 123 and their difference is 43. What is the larger number?
  6. 6.The sum of two numbers is 137 and their difference is 11. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 4 consecutive even numbers is 308. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  10. 10.The sum of two numbers is 116 and their difference is 56. What is the smaller number?
  11. 11.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?
  12. 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  13. 13.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  14. 14.The sum of two numbers is 50 and their difference is 4. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of two numbers is 99 and their difference is 45. What is the smaller number?
  18. 18.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?
  19. 19.The sum of two numbers is 71 and their difference is 53. What is the smaller number?
  20. 20.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  21. 21.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  23. 23.The sum of two numbers is 129 and their difference is 59. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 295. What is the largest of them?
  25. 25.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  27. 27.One number is 2 times another. Their difference is 20. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 174. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  32. 32.The sum of two numbers is 67 and their difference is 63. What is the smaller number?
  33. 33.The sum of two numbers is 158 and their difference is 28. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 128. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  36. 36.One number is 6 times another. Their difference is 120. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 70. What is the largest of them?
  38. 38.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  39. 39.The sum of two numbers is 28 and their difference is 16. What is the smaller number?
  40. 40.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?

Answer key

  1. 4
  2. 57
  3. 72
  4. 8
  5. 83
  6. 63
  7. 79
  8. 80
  9. 6
  10. 30
  11. 89
  12. 48
  13. 83
  14. 23
  15. 74
  16. 68
  17. 27
  18. 14
  19. 9
  20. 44
  21. 29
  22. 12
  23. 35
  24. 61
  25. 43
  26. 70
  27. 20
  28. 23
  29. 65
  30. 59
  31. 65
  32. 2
  33. 93
  34. 29
  35. 25
  36. 24
  37. 19
  38. 58
  39. 6
  40. 13

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