In all 5 boys and 5 girls in the class are participating in the annual sports day of the school. The names of the boys are Amar, Bharat, Chetan, Deepak and Eknath, while names of the girls are Leena, Manisha, Neeta, Pratima and Sharayu. All boys are standing in a straight line facing the same direction as Sri Lanka is to India. All girls are standing in a straight line facing the same direction as Punjab is to Haryana. The distance between two neighbouring boys is the same as the distance between two neighbouring girls. Following points are known:1. The distance between Amar and Leena is maximum, while the distance between Bharat and Pratima is minimum.2. Deepak and Manisha are standing at the center of their respective lines.3. The distance between Chetan and Sharayu is the same as the distance between Eknath and Neeta. Who is standing between Manisha and Leena?
Question
In all 5 boys and 5 girls in the class are participating in the annual sports day of the school. The names of the boys are Amar, Bharat, Chetan, Deepak and Eknath, while names of the girls are Leena, Manisha, Neeta, Pratima and Sharayu. All boys are standing in a straight line facing the same direction as Sri Lanka is to India. All girls are standing in a straight line facing the same direction as Punjab is to Haryana. The distance between two neighbouring boys is the same as the distance between two neighbouring girls. Following points are known:1. The distance between Amar and Leena is maximum, while the distance between Bharat and Pratima is minimum.2. Deepak and Manisha are standing at the center of their respective lines.3. The distance between Chetan and Sharayu is the same as the distance between Eknath and Neeta. Who is standing between Manisha and Leena?
Solution
The question is a bit tricky but let's break it down:
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The boys and girls are standing in two separate lines, facing the same direction. This means that the boys are standing in one line and the girls are standing in another line, parallel to each other.
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Deepak and Manisha are standing at the center of their respective lines. This means that Deepak is the third boy from either end of the boys' line and Manisha is the third girl from either end of the girls' line.
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The distance between Amar and Leena is maximum. This means that Amar and Leena are standing at the opposite ends of their respective lines.
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The distance between Bharat and Pratima is minimum. This means that Bharat and Pratima are standing next to each other. Since Bharat cannot be at the end of the line (as Amar is at one end), Pratima must be at the end of the girls' line.
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The distance between Chetan and Sharayu is the same as the distance between Eknath and Neeta. This means that Chetan and Eknath are standing at the same position in the boys' line and Sharayu and Neeta are standing at the same position in the girls' line.
From these points, we can deduce the following arrangement:
Boys: Amar - Bharat - Deepak - Chetan/Eknath - Eknath/Chetan Girls: Leena - Neeta/Sharayu - Manisha - Sharayu/Neeta - Pratima
So, the person standing between Manisha and Leena is Neeta or Sharayu.
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