Data Interpretation Ques 347

Question-

Directions : Study the table carefully and answer the given questions.

Number of candidates appeared, number of candidates who qualified and respective ratio of number of qualified male and female candidates in entrance exams of different universities.

University Number of
appeared
candidates
Number of
candidates who
qualified
Respective ratio of
number of
qualified male and
female candidates
A 700 560 $9: 5$
B 620 576 $7: 9$
C 780 672 $13: 11$
D 840 704 $3: 5$

What is the sum of the average number of female candidates who qualified in the entrance exam of universities $B$ and $C$ together and that of the average number of male candidates who qualified in the entrance exam of the same universities?

(1) 728

(2) 844

(3) 808

(4) 526

(5) 624

Show Answer

Correct Answer: (5)

Solution: (5)

Number of qualified candidates in university $B=576$

Males $\Rightarrow 576 \times \frac{7}{16}=252$

Females $\Rightarrow \frac{576 \times 9}{16}=324$

Number of qualified candidates in university $C=672$

Males $\Rightarrow 672 \times \frac{13}{24}=364$

Females $\Rightarrow 672 \times \frac{11}{24}=308$

$\therefore$ Required answer $=\frac{324+308}{2}+\frac{252+364}{2}$ $=\frac{632}{2}+\frac{616}{2}=316+308=624$



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