SATHEE: Data Interpretation Ques 22

Data Interpretation

Data Interpretation Ques 22

Question-

Directions : The following table shows the details about the percentage distribution of students admitted in four different colleges for five different subjects. The table also consists of respective male and female ratio of all the students in each subject. Consider the following table and answer the questions given below :

Students $\to$	Physics	Chemistry	Commerce	History	Maths
Colleges $↓$
$A$	$20 %$	$15 %$	$25 %$	$20 %$	$20 %$
$B$	$15 %$	$15 %$	$15 %$	$30 %$	$25 %$
$C$	$30 %$	$20 %$	$10 %$	$20 %$	$20 %$
$D$	$25 %$	$25 %$	$10 %$	$30 %$	$10 %$
Ratio between male and female	$2 : 3$	$3 : 2$	$1 : 2$	$2 : 1$	$1 : 1$

Total students distribution among four colleges $A$ , $B$ , $C$ and $D$ is $2 : 3 : 3 : 2$

If the total students admitted in all the colleges are 2000, then what is the total number of female students in college $B$ ?

(1) 255

(2) 280

(3) 285

(4) 275

(5) 260

Show Answer

Answer: (3)

Solution: (3)

Ratio of students in all colleges $A$ , $B$ , $C$ and $D$ $= 2 : 3 : 3 : 2$

Sum of ratio terms $= 2 + 3 + 3 + 2 = 10$

$∴$ Number of students in college $B = 2000 \times \frac{3}{10} = 600$

$∴$ Number of females in :

Physics $= 600 \times 15 % \times \frac{3}{5} = 54$

Chemistry $= 600 \times 15 % \times \frac{2}{5}$ $= 36$

Commerce $= 600 \times 15 % \times \frac{2}{3}$ $= 60$

History $= 600 \times 30 % \times \frac{1}{3} = 60$

Maths $= 600 \times 25 % \times \frac{1}{2} = 75$

Total female students $= 54 + 36 + 60 + 60 + 75 = 285$

Data Interpretation

Data Interpretation Ques 22

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Data Interpretation

Data Interpretation Ques 22

Table of Contents

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

NCERT Exercise Video Solution

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