← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 137 · 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 90 and their difference is 20. What is the larger number?
  2. 2.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The sum of two numbers is 153 and their difference is 7. What is the larger number?
  5. 5.The sum of 3 consecutive odd numbers is 153. What is the largest of them?
  6. 6.One number is 2 times another. Their difference is 19. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  8. 8.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  9. 9.The sum of two numbers is 60 and their difference is 36. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  11. 11.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  12. 12.One number is 5 times another. Their difference is 124. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 62. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  16. 16.The sum of two numbers is 102 and their difference is 12. What is the larger number?
  17. 17.The sum of 5 consecutive numbers is 195. What is the largest of them?
  18. 18.One number is 2 times another. Their difference is 27. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 194. What is the largest of them?
  20. 20.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?
  21. 21.The sum of two numbers is 85 and their difference is 45. What is the larger number?
  22. 22.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  23. 23.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  24. 24.The sum of two numbers is 155 and their difference is 41. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 99. What is the smallest of them?
  26. 26.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 110. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 46. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  30. 30.The sum of two numbers is 65 and their difference is 17. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 21. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 150. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 42. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 15. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 218. What is the largest of them?
  38. 38.One number is 5 times another. Their difference is 96. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  40. 40.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?

Answer key

  1. 55
  2. 11
  3. 34
  4. 80
  5. 53
  6. 19
  7. 39
  8. 81
  9. 48
  10. 40
  11. 47
  12. 31
  13. 14
  14. 8
  15. 52
  16. 57
  17. 41
  18. 27
  19. 50
  20. 57
  21. 65
  22. 54
  23. 29
  24. 98
  25. 32
  26. 74
  27. 29
  28. 13
  29. 57
  30. 24
  31. 21
  32. 7
  33. 78
  34. 28
  35. 14
  36. 5
  37. 56
  38. 24
  39. 45
  40. 69

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