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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 77 · 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 78 and their difference is 76. What is the larger number?
  2. 2.The sum of 3 consecutive odd numbers is 243. What is the largest of them?
  3. 3.The sum of two numbers is 50 and their difference is 36. What is the smaller number?
  4. 4.The sum of two numbers is 53 and their difference is 21. What is the larger number?
  5. 5.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  8. 8.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  10. 10.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?
  11. 11.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of two numbers is 67 and their difference is 3. What is the larger number?
  13. 13.One number is 4 times another. Their difference is 90. What is the smaller number?
  14. 14.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?
  15. 15.The sum of 3 consecutive numbers is 99. What is the largest of them?
  16. 16.One number is 6 times another. Their difference is 95. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 65. What is the largest of them?
  18. 18.The sum of two numbers is 20 and their difference is 4. What is the larger number?
  19. 19.The sum of two numbers is 39 and their difference is 7. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 117. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 245. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 44. What is the smaller number?
  23. 23.One number is 6 times another. Their difference is 55. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  25. 25.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  26. 26.The sum of 3 consecutive odd numbers is 51. What is the largest of them?
  27. 27.The sum of 5 consecutive numbers is 40. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 60. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 102. What is the largest of them?
  31. 31.The sum of 4 consecutive even numbers is 244. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 120. What is the largest of them?
  36. 36.One number is 2 times another. Their difference is 32. What is the smaller number?
  37. 37.One number is 6 times another. Their difference is 160. What is the smaller number?
  38. 38.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  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 130 and their difference is 52. What is the smaller number?

Answer key

  1. 77
  2. 83
  3. 7
  4. 37
  5. 11
  6. 34
  7. 29
  8. 18
  9. 79
  10. 57
  11. 35
  12. 35
  13. 30
  14. 79
  15. 34
  16. 19
  17. 15
  18. 12
  19. 23
  20. 40
  21. 47
  22. 22
  23. 11
  24. 49
  25. 33
  26. 19
  27. 10
  28. 61
  29. 21
  30. 35
  31. 58
  32. 12
  33. 41
  34. 62
  35. 41
  36. 32
  37. 32
  38. 46
  39. 27
  40. 39

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