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In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?
- a)400
- b)1200
- c)800
- d)600
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a school there are 2000 students. On January 2nd, all the students ...
From Options;
let Number of girls = 600
Number of boys = 1400
96% of 1400 + 600 = [600 – 28/3 % of 600] + 1400 = 1944[satisfies the condition; Check the condition with other options also]
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Most Upvoted Answer
In a school there are 2000 students. On January 2nd, all the students ...
Solution:
Let the total number of boys and girls in the school be 'b' and 'g' respectively.
Given, on January 2nd, all the students were present in the school except 4% of the boys. Therefore, the number of boys present in the school on January 2nd = 96% of b = 0.96b
Also, on January 3rd, all the students were present in the school except 28/3% of the girls. Therefore, the number of girls present in the school on January 3rd = 71/3% of g = 2/3g
Given that the number of students present in the school on both days were the same. Therefore,
2000 = 0.96b + 2/3g
Simplifying the above equation, we get
1920b + 3g = 5760
1920b = 5760 - 3g
Dividing both sides by 1920, we get
b = 3 - (1/640)g
As 'b' is a positive integer, 'g' should be a multiple of 640.
Out of the given options, only option (D) 600 is a multiple of 640. Therefore, the number of girls in the school is 600.
Hence, the correct answer is option (D) 600.
Let the total number of boys and girls in the school be 'b' and 'g' respectively.
Given, on January 2nd, all the students were present in the school except 4% of the boys. Therefore, the number of boys present in the school on January 2nd = 96% of b = 0.96b
Also, on January 3rd, all the students were present in the school except 28/3% of the girls. Therefore, the number of girls present in the school on January 3rd = 71/3% of g = 2/3g
Given that the number of students present in the school on both days were the same. Therefore,
2000 = 0.96b + 2/3g
Simplifying the above equation, we get
1920b + 3g = 5760
1920b = 5760 - 3g
Dividing both sides by 1920, we get
b = 3 - (1/640)g
As 'b' is a positive integer, 'g' should be a multiple of 640.
Out of the given options, only option (D) 600 is a multiple of 640. Therefore, the number of girls in the school is 600.
Hence, the correct answer is option (D) 600.
Community Answer
In a school there are 2000 students. On January 2nd, all the students ...
D. 600
Explanation: From Options; let Number of girls = 600 Number of boys = 1400 96% of 1400 + 600 = [600 – 28/3 % of 600] + 1400 = 1944[satisfies the condition; Check the condition with other options also]
Explanation: From Options; let Number of girls = 600 Number of boys = 1400 96% of 1400 + 600 = [600 – 28/3 % of 600] + 1400 = 1944[satisfies the condition; Check the condition with other options also]
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In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?a)400b)1200c)800d)600e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?a)400b)1200c)800d)600e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?a)400b)1200c)800d)600e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?a)400b)1200c)800d)600e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?a)400b)1200c)800d)600e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?a)400b)1200c)800d)600e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school there are 2000 students. On January 2nd, all the students were present in the school except 4% of the boys and on January 3rd, all the students are present in the school except 28/3% of the girls, but in both the days number of students present in the school, were same. The number of girls in the school is?a)400b)1200c)800d)600e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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