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Multiple Choice Questions

Find the marks obtained by Sushma in half yearly exam if the sum of marks obtained by Sushma and Sur...........

Quantitative Aptitude (CCS) Data Sufficiency

Find the marks obtained by Sushma in half-yearly exam, if the sum of marks obtained by Sushma and Suraj is half-yearly exam is 1410.

Statement I: The ratio of marks obtained by Sushma and Suraj in quarterly exam was 9:8 resp.

Statement II: The ratio of marks obtained by Sushma in quarterly exam to the half-yearly exam is 2:3 resp. while ratio of marks obtained by Suraj in quarterly exam to the half-yearly exam is 4:5 resp.

Both are not sufficient

Only Statement II

Either I or II

Only Statement I

Both are necessary

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Explanation:

From I: Let the marks obtained by Sushma and Suraj in quarterly exam be 9x and 8x resp.
Nothing is known about their marks in half-yearly exam.
So, this statement is not sufficient alone.
From II: Let the marks obtained by Sushma in quarterly exam and half-yearly exam be 2y and 3y resp.
Also, let the marks obtained by Suraj in quarterly exam and half-yearly exam be 4z and 5z resp.
So, this is also not sufficient alone.
Combining both the equations, we get
Let the marks obtained by Sushma and Suraj in quarterly exam be 9x and 8x resp.
Now, 9x*(3/2) + 8x *(5/4) = 1410
=> x = 60
So, the marks obtained by Sushma in half-yearly exam = 9x*(3/2) = 810

Hence, option 5 is the correct answer.

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