Question

The following table shows the number of students enrolled in five different courses in a college. Study the table carefully and answer the question. } What percentage of the total students is enrolled in Course D?

• A. \(25%\)
• B. \(28%\)
• C. \(30%\)
• D. \(35%\)

Hint:

Always simplify fractions before multiplying by 100. This reduces calculation time significantly in Data Interpretation questions.

Answer 1

The Correct Option is B

Concept: Data Interpretation questions are frequently asked in CUET GAT. Although the calculations are generally straightforward, accuracy and speed are important because several questions may be based on a single table or graph. To find the percentage contribution of a category, we use: \[ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times100 \]

Step 1: Calculate the total number of students. Total students: \[ 240+300+180+420+360 \] \[ =1500 \] Thus: \[ \text{Total Students}=1500 \]

Step 2: Identify the number of students in Course D. From the table: \[ \text{Course D}=420 \]

Step 3: Calculate the percentage. \[ \text{Percentage} = \frac{420}{1500}\times100 \] \[ = \frac{42}{150}\times100 \] \[ = 28 \] \[ =28% \]

Step 4: Verify carefully. \[ 1500\times 28% = 1500\times\frac{28}{100} \] \[ =420 \] The value matches exactly.

Step 5: Final conclusion. Therefore: \[ \boxed{28%} \] Hence, \[ \boxed{\text{Option (B)}} \] Important Note: The mathematically correct answer is: \[ \boxed{28%} \]