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SSC CHSL Model Paper 17

Directions (67-70) : The table below indicates the percentage of students and the ratio of boys and girls in the various streams of a college.

(Total Students = 2600)

\begin{array}{lccccc} \text{Stream} & \text{CE} & \text{CS} & \text{IT} & \text{ME} & \text{EC} \\ \text{ \% Students } & \text{20\%} & \text{18\%} & \text{21\%} & \text{22\%} & \text{19\%} \\ \text{Boys : Girls} & \text{3: 2} & \text{4: 5} & \text{3 : 4} & \text{6:5} & \text{9 : 10} \end{array}

Question : 69 of 100

Marks: +1, -0

Solution:

Total number of girls enrolled in various stream

=\frac{2}{5} \times \frac{20}{100} \times 2600

+\frac{5}{9} \times \frac{18}{100} \times 2600

+\frac{4}{7} \times \frac{21}{100} \times 2600

+\frac{5}{11} \times \frac{22}{100} \times 2600

+\frac{10}{19} \times \frac{19}{100} \times 2600

= 208 + 260 + 312 + 260 + 260 = 1300

Number of girls in ME stream

=\frac{5}{11} \times \frac{22}{100} \times 2600 = 260

Required central angle =

\frac{260}{1300} \times 360 = 72^{\circ}

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