Data Interpretation Ques 342

Directions : Study the following table carefully and answer the questions given below it.

Number of students and \% of students passed out of those who appeared are given for two subjects from year 2001 to 2005 in a college XYZ.

Year Statistics Economics
Number of
students
appeared
\% of students
passed out of
the appeared
students
Number of
students
appeared
\% of students
passed out of
the appeared
students
2001 2200 $45 \%$ 4200 $40 \%$
2002 2700 $55 \%$ 3800 $45 \%$
2003 2500 $35 \%$ 2600 $60 \%$
2004 3200 $65 \%$ 4800 $55 \%$
2005 4800 $60 \%$ 2200 $50 \%$

What is the ratio between the total number of students appeared in Economics from 2002 to 2004 together and the total number of students who appeared in Statistics from year 2003 to 2005 together?

(1) $13: 14$

(2) $14: 13$

(3) $15: 16$

(4) $16: 15$

(5) Other than the options provided

Show Answer

Correct Answer: 342.(4)

Solution: (4) Number of passengers who go to university on Monday

$=\frac{180 \times 25}{100}=45$

$\therefore$ Female passengers who go

to college $=\frac{4}{9} \times 45=20$

Total female passengers

$=180-100=80$

$\therefore$ Required percentage

$=\frac{20}{80} \times 100=25 \%$