Question 78

Logical Reasoning Data Sufficiency / Interpretation Easy

Comprehension: The following questions are based on the piecharts given below. Percentage-wise distribution of students studying in Arts and Commerce in seven different institutions – A, B, C, D, E, F and G. What is The ratio of the number of students studying Arts to that studying commerce in Institute E is

Question Image
(A) 19:16
(B) 19:27
(C) 19:28
(D) 27:14
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Calculation Steps




  1. Calculate the Number of Arts Students in Institute E:

    From the 'Arts' pie chart, Institute E has 14% of the total 3800 students.


    0.14 * 3800 = 532 students


  2. Calculate the Number of Commerce Students in Institute E:

    From the 'Commerce' pie chart, Institute E has 18% of the total 4200 students.


    0.18 * 4200 = 756 students


  3. Determine and Simplify the Ratio:

    The required ratio is (Arts Students in E) : (Commerce Students in E).


    532 : 756

    To simplify, we can find the greatest common divisor (which is 28) or divide by smaller common factors repeatedly.


    (532 / 28) : (756 / 28) = 19 : 27





Final Answer: The ratio is 19:27.

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