← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 949 · 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 91 and their difference is 53. What is the smaller number?
  2. 2.The sum of two numbers is 18 and their difference is 4. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 150. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  7. 7.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 214. What is the largest of them?
  11. 11.The sum of 3 consecutive numbers is 177. What is the smallest of them?
  12. 12.The sum of two numbers is 75 and their difference is 11. What is the larger number?
  13. 13.The sum of 4 consecutive numbers is 230. What is the smallest of them?
  14. 14.The sum of two numbers is 76 and their difference is 32. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 3 consecutive numbers is 72. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  18. 18.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 88. What is the smaller number?
  20. 20.The sum of two numbers is 71 and their difference is 3. What is the larger number?
  21. 21.The sum of 5 consecutive numbers is 185. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 290. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 55. What is the smaller number?
  25. 25.One number is 5 times another. Their difference is 148. What is the smaller number?
  26. 26.The sum of two numbers is 143 and their difference is 29. What is the larger number?
  27. 27.The sum of 3 consecutive numbers is 93. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 220. What is the largest of them?
  29. 29.The sum of two numbers is 31 and their difference is 9. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  31. 31.One number is 6 times another. Their difference is 30. What is the smaller number?
  32. 32.The sum of two numbers is 52 and their difference is 30. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.One number is 5 times another. Their difference is 40. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 165. What is the largest of them?
  38. 38.One number is 2 times another. Their difference is 3. What is the smaller number?
  39. 39.The sum of 4 consecutive numbers is 86. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?

Answer key

  1. 19
  2. 7
  3. 20
  4. 39
  5. 6
  6. 15
  7. 79
  8. 67
  9. 71
  10. 55
  11. 58
  12. 43
  13. 56
  14. 22
  15. 19
  16. 25
  17. 23
  18. 50
  19. 22
  20. 37
  21. 39
  22. 8
  23. 56
  24. 11
  25. 37
  26. 86
  27. 32
  28. 46
  29. 11
  30. 25
  31. 6
  32. 11
  33. 23
  34. 10
  35. 52
  36. 38
  37. 35
  38. 3
  39. 23
  40. 47

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