← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 506 · 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 4 consecutive numbers is 66. What is the smallest of them?
  2. 2.The sum of two numbers is 113 and their difference is 5. What is the smaller number?
  3. 3.The sum of two numbers is 112 and their difference is 54. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  6. 6.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?
  7. 7.The sum of two numbers is 53 and their difference is 13. What is the smaller number?
  8. 8.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 114. What is the largest of them?
  10. 10.The sum of two numbers is 69 and their difference is 47. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  12. 12.The sum of two numbers is 59 and their difference is 29. What is the smaller number?
  13. 13.The sum of two numbers is 98 and their difference is 52. What is the smaller number?
  14. 14.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?
  15. 15.The sum of two numbers is 88 and their difference is 24. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 40. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 16. What is the smaller number?
  20. 20.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  21. 21.One number is 2 times another. Their difference is 23. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 156. What is the largest of them?
  23. 23.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  24. 24.The sum of two numbers is 129 and their difference is 57. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 116. What is the smaller number?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  29. 29.The sum of two numbers is 95 and their difference is 65. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.The sum of 3 consecutive even numbers is 192. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  34. 34.One number is 4 times another. Their difference is 30. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 15. What is the smaller number?
  36. 36.The sum of two numbers is 86 and their difference is 30. What is the smaller number?
  37. 37.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?
  38. 38.One number is 2 times another. Their difference is 26. What is the smaller number?
  39. 39.The sum of two numbers is 175 and their difference is 5. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 62. What is the largest of them?

Answer key

  1. 15
  2. 54
  3. 29
  4. 59
  5. 33
  6. 68
  7. 20
  8. 15
  9. 39
  10. 11
  11. 81
  12. 15
  13. 23
  14. 36
  15. 32
  16. 40
  17. 48
  18. 25
  19. 4
  20. 45
  21. 23
  22. 53
  23. 60
  24. 36
  25. 29
  26. 14
  27. 39
  28. 14
  29. 15
  30. 54
  31. 45
  32. 66
  33. 60
  34. 10
  35. 3
  36. 28
  37. 13
  38. 26
  39. 85
  40. 17

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