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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 301 · 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 77 and their difference is 31. What is the larger number?
  2. 2.One number is 2 times another. Their difference is 34. What is the smaller number?
  3. 3.One number is 3 times another. Their difference is 66. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  5. 5.One number is 2 times another. Their difference is 18. What is the smaller number?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  9. 9.The sum of two numbers is 111 and their difference is 17. What is the larger number?
  10. 10.The sum of 4 consecutive numbers is 130. What is the largest of them?
  11. 11.The sum of two numbers is 69 and their difference is 49. What is the larger number?
  12. 12.One number is 6 times another. Their difference is 165. What is the smaller number?
  13. 13.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?
  14. 14.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  15. 15.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  16. 16.One number is 5 times another. Their difference is 48. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 180. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 160. What is the largest of them?
  19. 19.The sum of two numbers is 23 and their difference is 5. What is the larger number?
  20. 20.One number is 3 times another. Their difference is 74. What is the smaller number?
  21. 21.The sum of two numbers is 107 and their difference is 91. What is the smaller number?
  22. 22.One number is 5 times another. Their difference is 24. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 150. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  25. 25.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  26. 26.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  27. 27.One number is 2 times another. Their difference is 19. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 60. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.The sum of two numbers is 48 and their difference is 2. What is the larger number?
  31. 31.One number is 5 times another. Their difference is 124. What is the smaller number?
  32. 32.One number is 2 times another. Their difference is 29. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 112. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 60. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 30. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 108. What is the smaller number?
  37. 37.The sum of two numbers is 77 and their difference is 33. What is the larger number?
  38. 38.One number is 2 times another. Their difference is 8. What is the smaller number?
  39. 39.One number is 4 times another. Their difference is 81. What is the smaller number?
  40. 40.The sum of two numbers is 59 and their difference is 21. What is the larger number?

Answer key

  1. 54
  2. 34
  3. 33
  4. 17
  5. 18
  6. 79
  7. 34
  8. 14
  9. 64
  10. 34
  11. 59
  12. 33
  13. 67
  14. 16
  15. 64
  16. 12
  17. 36
  18. 34
  19. 14
  20. 37
  21. 8
  22. 6
  23. 30
  24. 77
  25. 26
  26. 25
  27. 19
  28. 15
  29. 56
  30. 25
  31. 31
  32. 29
  33. 28
  34. 30
  35. 15
  36. 27
  37. 55
  38. 8
  39. 27
  40. 40

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