A certain number of persons were sitting in a row facing north such that number of persons on the right of Raja was same as the number of persons on the left of Golu. Golu sits on the left of Raja. Deepak sits exactly in the middle of Raja and Golu, and number of persons between Deepak and Raja were twice the number of persons on the right of Raja, who was 53rd from the left end.How many persons were there in the row?a.65b.None of thesec.63d.69
Question
A certain number of persons were sitting in a row facing north such that number of persons on the right of Raja was same as the number of persons on the left of Golu. Golu sits on the left of Raja. Deepak sits exactly in the middle of Raja and Golu, and number of persons between Deepak and Raja were twice the number of persons on the right of Raja, who was 53rd from the left end.How many persons were there in the row?a.65b.None of thesec.63d.69
Solution
To solve this problem, we need to follow these steps:
- We know that Raja is 53rd from the left end of the row.
- The number of people on the right of Raja is the same as the number of people on the left of Golu. Since Golu is on the left of Raja, the number of people on the right of Raja is less than 53.
- Deepak sits exactly in the middle of Raja and Golu, and the number of people between Deepak and Raja is twice the number of people on the right of Raja. This means that the number of people on the right of Raja is one third of the number of people between Raja and Golu.
- Let's denote the number of people on the right of Raja as x. Then, the number of people between Raja and Golu is 3x, and the number of people between Golu and the left end of the row is 53 - x - 3x = 53 - 4x.
- Since the number of people on the right of Raja is the same as the number of people on the left of Golu, we have x = 53 - 4x. Solving this equation gives x = 53/5 = 10.6, which is not a whole number.
- Therefore, the answer is b. None of these.
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