← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 590 · 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 81 and their difference is 11. What is the smaller number?
  2. 2.The sum of two numbers is 112 and their difference is 44. What is the larger number?
  3. 3.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  5. 5.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 183. What is the largest of them?
  7. 7.One number is 6 times another. Their difference is 20. What is the smaller number?
  8. 8.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?
  9. 9.One number is 3 times another. Their difference is 28. What is the smaller number?
  10. 10.One number is 5 times another. Their difference is 68. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of two numbers is 62 and their difference is 18. What is the larger number?
  13. 13.The sum of two numbers is 87 and their difference is 1. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
  16. 16.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of two numbers is 92 and their difference is 76. What is the smaller number?
  19. 19.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  21. 21.The sum of two numbers is 156 and their difference is 28. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 36. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  24. 24.The sum of 3 consecutive numbers is 54. What is the largest of them?
  25. 25.The sum of two numbers is 55 and their difference is 25. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  27. 27.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?
  28. 28.The sum of two numbers is 49 and their difference is 27. What is the larger number?
  29. 29.The sum of two numbers is 82 and their difference is 28. What is the larger number?
  30. 30.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?
  31. 31.The sum of 5 consecutive numbers is 85. What is the largest of them?
  32. 32.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 220. What is the largest of them?
  34. 34.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  35. 35.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  36. 36.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  38. 38.The sum of two numbers is 31 and their difference is 21. What is the larger number?
  39. 39.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  40. 40.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?

Answer key

  1. 35
  2. 78
  3. 57
  4. 35
  5. 28
  6. 62
  7. 4
  8. 13
  9. 14
  10. 17
  11. 46
  12. 40
  13. 43
  14. 89
  15. 49
  16. 27
  17. 79
  18. 8
  19. 16
  20. 73
  21. 64
  22. 18
  23. 45
  24. 19
  25. 15
  26. 16
  27. 48
  28. 38
  29. 55
  30. 23
  31. 19
  32. 14
  33. 46
  34. 38
  35. 50
  36. 35
  37. 76
  38. 26
  39. 69
  40. 67

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