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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 369 · 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).

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  1. 1.One number is 2 times another. Their difference is 13. What is the smaller number?
  2. 2.One number is 2 times another. Their difference is 39. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 69. What is the smallest of them?
  4. 4.The sum of two numbers is 89 and their difference is 73. What is the larger number?
  5. 5.The sum of two numbers is 145 and their difference is 23. What is the larger number?
  6. 6.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?
  7. 7.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 108. What is the largest of them?
  9. 9.One number is 5 times another. Their difference is 80. What is the smaller number?
  10. 10.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  11. 11.One number is 3 times another. Their difference is 38. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 64. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  14. 14.The sum of two numbers is 95 and their difference is 29. What is the smaller number?
  15. 15.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?
  16. 16.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 57. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  21. 21.The sum of two numbers is 134 and their difference is 10. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 24. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  25. 25.The sum of two numbers is 112 and their difference is 70. What is the smaller number?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  29. 29.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 65. What is the largest of them?
  36. 36.The sum of two numbers is 80 and their difference is 56. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  38. 38.One number is 2 times another. Their difference is 19. What is the smaller number?
  39. 39.The sum of two numbers is 80 and their difference is 30. What is the larger number?
  40. 40.One number is 6 times another. Their difference is 75. What is the smaller number?

Answer key

  1. 13
  2. 39
  3. 22
  4. 81
  5. 84
  6. 69
  7. 21
  8. 37
  9. 20
  10. 51
  11. 19
  12. 32
  13. 10
  14. 33
  15. 17
  16. 59
  17. 21
  18. 24
  19. 20
  20. 33
  21. 62
  22. 17
  23. 8
  24. 9
  25. 21
  26. 67
  27. 89
  28. 20
  29. 46
  30. 75
  31. 54
  32. 79
  33. 31
  34. 25
  35. 15
  36. 12
  37. 18
  38. 19
  39. 55
  40. 15

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