SSC CHSL 5 Aug 2021 Shift 3 Paper

Section: General Intelligence

Question : 44 of 100

Marks: +1, -0

The District Transport Authority has started special bus services for college going students. One bus starts from Village P. The number of girls in the bus is one-fourth of the number of boys. In Village Q, 20 boys leave the bus at their college stop and ten girls enter the bus. Now the number of boys and girls is equal. How many students enter the bus in the beginning?

Validate

Solution:

Let the number of boys in the begining be

x

∴

Number of girls

=\;{x}/{4}

According to the question,

\;x-20 \;\; =\;{x}/{4}+10

⇒\;x-\;{x}/{4} \;\; =20+10

⇒\;\;{4 x-x}/{4} \;\; =30

⇒\;\;{3 x}/{4} \;\; =30

⇒\;x \;\; =\;{30}/{3} × 4=40

∴

Total number of students enter the bus in the beginning

\;\; =x+\;{x}/{4}=40+\;{40}/{4}

\;\; =40+10=50

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