![Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number.](https://www.gkseries.com/blog/wp-content/uploads/2023/07/Two-third-of-a-positive-number-and-16-216-of-its-reciprocal-are-equal.-Find-the-positive-number.jpg)
Question | Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number. | |
Type | multiple_choice | |
Option | 9/25 | incorrect |
Option | 14/4 | incorrect |
Option | 4 /12 | correct |
Option | 144/25 | incorrect |
Solution | Let the positive number be x. Then, 2/3 x = 16/216 * 1/x x2 = 16/216 * 3/2 = 16/144 x = √16/144 =4 /12. |