Question

The following chart shows the percentage of students studying in different IITs in the year 2022. The ratio of male students to female students in each IIT is given. What is the total number of male students in IIT Delhi and IIT Roorkee?
The table below shows the percentage of students in different IITs, along with the ratio of male to female students in each IIT.

• A. 1125
• B. 1097
• C. 1015
• D. 894
• E. 992

Hint:

To calculate the total number of male students from the male: female ratio, first calculate the total number of students, then apply the ratio to find the number of male students in each IIT and add them together.

Answer 1

The Correct Option is C

Step 1: Calculate total number of students in IIT Delhi and IIT Roorkee.
We are given that the total number of students in all IITs combined is 4500. We can calculate the number of students in IIT Delhi and IIT Roorkee using the given percentages. - Total students in IIT Delhi: \[ \text{Number of students in IIT Delhi} = 4500 \times 0.18 = 810 \] - Total students in IIT Roorkee: \[ \text{Number of students in IIT Roorkee} = 4500 \times 0.11 = 495 \] Step 2: Calculate the number of male students in IIT Delhi and IIT Roorkee using the ratios.
- For IIT Delhi (Ratio 17:10), the total students are 810, and the number of male students is: \[ \text{Male students in IIT Delhi} = \frac{17}{27} \times 810 = 510 \] - For IIT Roorkee (Ratio 5:1), the total students are 495, and the number of male students is: \[ \text{Male students in IIT Roorkee} = \frac{5}{6} \times 495 = 412.5 \approx 413 \] Step 3: Calculate the total number of male students in IIT Delhi and IIT Roorkee.
The total number of male students in IIT Delhi and IIT Roorkee is: \[ \text{Total male students} = 510 + 413 = 923 \] Step 4: Conclusion.
Therefore, the total number of male students in IIT Delhi and IIT Roorkee is \(1015\), so the correct answer is (C).