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In a college, the ratio of the number of boys to the number of girls is 5 : 3. If 80 boys leave the college and 40 girls join the college, the number of the girls will become the same as the number of boys. What is the initial number of boys in the college?
  • a)
    200
  • b)
    250
  • c)
    300
  • d)
    320
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a college, the ratio of the number of boys to the number of girls i...
Let the initial number boys = 5x
The initial number of girls = 3x
(5x – 80) = (3x + 40)
2x = 120
x = 60
So the answer = 300
Hence, Option C is correct.
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Community Answer
In a college, the ratio of the number of boys to the number of girls i...
Given information:
Ratio of boys to girls = 5 : 3

Let the initial number of boys be 5x and girls be 3x.

After changes:
Number of boys = 5x - 80
Number of girls = 3x + 40

According to the question:
5x - 80 = 3x + 40
2x = 120
x = 60

Initial number of boys:
5x = 5 * 60 = 300
Therefore, the initial number of boys in the college was 300. So, option c) 300 is the correct answer.
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Direction: Read the following passage carefully and answer the questions. Your answer to these questions should be based on passage only.To be able to grow into self confident, fearless and active women, a girl must be nurtured in an atmosphere where she can be valued. However, for the average girl child in India. her prospects of all round healthy development are severely constrained. Born into a socially inhospitable environment, a girl is considered to be an expense - someone who will never contribute to the family income and at the time of her marriage will take large assets as dowry. So deeply entrenched is the ideology of sun preference, that a mother not only hopes and prays for a boy but actually fears the birth of a daughter. In India, girls are socialized from the very beginning to accept the ideology of make supremacy, which makes them a prey to discriminatory practices. This means that not only girl are socially unequipped to question the injustices done them, but in the absence of models of role and conduct, they actually propagate the dominant social and cultural values which are against their interests. Large number of the girl are allowed to die because of malnutrition and disease, which are not properly treated. Children who are working and are on the street are know as children. A street child may be defined as a minor for whom the street has become his or her habitual abode and who is without adequate protection.Q. What issue does the author highlight in the given passage?

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In a college, the ratio of the number of boys to the number of girls is 5 : 3. If 80 boys leave the college and 40 girls join the college, the number of the girls will become the same as the number of boys. What is the initial number of boys in the college?a)200b)250c)300d)320Correct answer is option 'C'. Can you explain this answer?
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