Instructions-There are 15 students in a class who are equally distribu...
The rows are assigned as girls only and boys only. Since there were 2 full rows of girls before Shilpa left, there are 5 girls remaining.
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Instructions-There are 15 students in a class who are equally distribu...
Explanation:
To find the number of girls in the class after Shilpa left, we need to analyze the given information and track the changes in seating arrangement.
Step 1: Initial Seating Arrangement
- There are 15 students in the class and they are equally distributed into 5 benches forming a rectangular array.
- Let's represent the benches as follows:
- Bench 1: S1 S2 S3 S4 S5 (S represents a student)
- Bench 2: S6 S7 S8 S9 S10
- Bench 3: S11 S12 S13 S14 S15
- Shravya is seated in one corner of the first bench, which means she is either S1 or S5.
- Jayant is diagonally opposite to Shravya in the last bench, which means he is either S11 or S15.
Step 2: Aruna's position
- Aruna is in between Shravya and Kavya in one bench.
- Since Kavya asked the girl immediately behind her for a pencil, Kavya is sitting at the end of the bench.
- So, Aruna must be sitting between Shravya and Kavya. Therefore, Aruna must be S3 or S4.
Step 3: Shilpa's position
- Shilpa borrowed a pencil from the boy immediately behind her, Anil, and gave it to Kavya.
- So, Shilpa must be sitting in front of Anil.
- Since Shravya is sitting in the corner of the bench, she cannot be sitting in front of Anil.
- Therefore, Shilpa must be sitting in front of Kavya, which means Shilpa is S2.
Step 4: Sunil's position
- Sunil is in between Anil and Jayant.
- Since Shilpa is S2 and Anil is sitting behind her, Anil must be S7 or S8.
- Since Jayant is diagonally opposite to Shravya, he cannot be sitting in the middle of the bench.
- Therefore, Sunil must be sitting between Anil and Jayant, which means Sunil is S9.
Step 5: Shravya's new position
- Shilpa goes out and Shravya sits in her place.
- Since Shravya cannot sit in front of Anil, she must be sitting in front of Aruna.
- Therefore, Shravya is S4.
Step 6: Geeta's position
- Geeta did not want to sit beside Shravya and swaps her place with Sweta.
- Since Shravya is now S4 and Geeta is not sitting beside her, Geeta must be S3.
- Therefore, Sweta must be S5.
Step 7: Final Seating Arrangement
- The final seating arrangement is as follows:
- Bench 1: Shravya Aruna Geeta Kavya Sweta
- Bench 2: S6 S7 S8 S9 S10
- Bench 3: S11 S12 S13 S14 S15
Step 8: Counting the Girls
- There are
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