As per a survey conducted in a college out of total students enrolled i.e., 3,000 in 2020-21, 1,700 were girls and 1,300 were boys. Data regarding students opting for various streams viz., Non-Medical, Medical, Commerce, Arts and Fine Arts showed that 25% of the enrolled students opted non-medical and the percentage of girls in Non-Medical was 30% of the total number of girls; 15% of the total students opted for Medical and the percentage of girls who opted Medical was 18% of the total number of girls; 25% of the total students opted Arts but the percentage of girls who opted for Arts was 15% of the total number of girls; 16% of the total students opted Commerce and the percentage of girls who opted Commerce was 17% of the total number of girls, and; 19% of the total students opted Fine Arts and the percentage of girls who opted Fine Arts was 20% of the total number of girls.

Which of the following courses have been opted by minimum number of boys?

The correct option is medical.

Step 1: Understand the given overall data

Total number of enrolled students = 3,000
Total number of girls = 1,700
Total number of boys = 3,000 - 1,700 = 1,300

Step 2: Calculate the total students, girls, and boys for each stream

1. Non-Medical Stream:

$\text{Total students in Non-Medical}=25\%\text{of}3000=\frac{25}{100}\times 3000=750$

$\text{Girls in Non-Medical}=30\%\text{of}1700=\frac{30}{100}\times 1700=510$

$\text{Boys in Non-Medical}=750-510=240$

2. Medical Stream:

$\text{Total students in Medical}=15\%\text{of}3000=\frac{15}{100}\times 3000=450$

$\text{Girls in Medical}=18\%\text{of}1700=\frac{18}{100}\times 1700=306$

$\text{Boys in Medical}=450-306=144$

3. Arts Stream:

$\text{Total students in Arts}=25\%\text{of}3000=\frac{25}{100}\times 3000=750$

$\text{Girls in Arts}=15\%\text{of}1700=\frac{15}{100}\times 1700=255$

$\text{Boys in Arts}=750-255=495$

4. Commerce Stream:

$\text{Total students in Commerce}=16\%\text{of}3000=\frac{16}{100}\times 3000=480$

$\text{Girls in Commerce}=17\%\text{of}1700=\frac{17}{100}\times 1700=289$

$\text{Boys in Commerce}=480-289=191$

5. Fine Arts Stream:

$\text{Total students in Fine Arts}=19\%\text{of}3000=\frac{19}{100}\times 3000=570$

$\text{Girls in Fine Arts}=20\%\text{of}1700=\frac{20}{100}\times 1700=340$

$\text{Boys in Fine Arts}=570-340=230$

Step 3: Compare the number of boys in each stream

$\text{Medical}:144$
$\text{Commerce}:191$
$\text{Fine Arts}:230$
$\text{Non-Medical}:240$
$\text{Arts}:495$

Comparing these values, the minimum number of boys is 144, which belongs to the Medical stream.