Find the ratio of boys who participated in SSC to Girls who participated in PO ........

Quantitative Aptitude (SBI-PO) Case Studies

Instructions: Study the following information carefully and answer accordingly.

In the SSC and PO exams, among a certain number of participants (Boy + Girl), some participate in both the events of SSC and PO while some of them participate in PO or SSC alone.

The ratio of Boys to Girls who participate in SSC and PO is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the exams PO and SSC is 2 : 1 and the ratio of Boys to Girls who participate only in the PO exams is 1 : 2. The participation of boys in the SSC exam alone is 10 more than the Girls who participate in it. Boys who participate in both SSC and PO is 20% of the Boys who participate in SSC events alone.

Find the ratio of boys who participated in SSC to Girls who participated in PO.

This questions was previously asked in

SBI PO Prelims

View All SBIPO Previous Year Papers

12:13

13:12

11:15

9:25

3:5

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Explanation:

- Boys and Girls in SSC and PO: The ratio is given as 4:3.

- Boys and Girls in PO: The ratio is 8:13.

- Boys to Girls in both SSC and PO: The ratio is 2:1.

- Boys to Girls in only PO: The ratio is 1:2.

- The number of boys participating only in SSC is 10 more than the girls.

- Boys participating in both SSC and PO account for 20% of the boys who participate in SSC alone.

To solve for the ratio of boys in SSC to girls in PO:

- Let us denote boys in SSC as 4x and girls as 3x based on the first ratio.

- For PO, boys are 8y and girls are 13y.

- Boys in both exams is 20% of SSC boys alone, hence boys in both is x/5.

- From the boys-to-girls ratio in both exams (2:1), girls in both is x/10.

- Subtracting those in both exams from total participants, and solving the equations for x and y, leads to a ratio of boys in SSC to girls in PO as 12:13.

The Correct Answer: Option 1 - 12:13