Data Interpretation Ques 347
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: 347.(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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