Multiple Choice Questions on Find the ratio of participants who participated only in SSC to only in PO ........ for SBI(PO) Exam Preparation

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Multiple Choice Questions

Find the ratio of participants who participated only in SSC to only in PO ........

Quantitative Aptitude (SBI-PO) Case Studies
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    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 participants who participated only in SSC to only in PO. 

    This questions was previously asked in
    SBI PO Prelims
    View All SBIPO Previous Year Papers

    4:3 

    Incorrect Answer

    1:1

    Correct Answer

    2:3

    Incorrect Answer

    3:4 

    Incorrect Answer

    5:2

    Incorrect Answer
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    Explanation:

    - Let's define some notations:

    - Let B_S and G_S represent the number of boys and girls who participate in SSC.

    - Let B_P and G_P represent the number of boys and girls who participate in PO.

    - Let B_Both and G_Both represent the number of boys and girls who participate in both exams.

    - The ratio of Boys to Girls in SSC is 4:3.

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

    - For participants in both exams, the ratio of Boys to Girls is 2:1.

    - The Boys who participate in both exams are 20% of the Boys who participate in SSC alone, meaning B_Both = 0.2 * B_S_alone.

    - Boys in SSC alone are 10 more than Girls in SSC alone.

    - For those attending only the PO exam, the ratio of Boys to Girls is 1:2.

    - Let's calculate the ratio of participants who participated only in SSC to only in PO:

    - We know Boys_S_only = B_S - B_Both

    - Girls_S_only = G_S - G_Both

    - Boys_P_only = B_P - B_Both

    - Girls_P_only = G_P - G_Both

    - Given the above conditions, you'll derive that the expression simplifies to find the ratio of only SSC to only PO as 1:1.

    So, the correct answer is: Option: 2, 1:1

    By: Parvesh Mehta
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