In a class of 250 students, if 75.8% took French and 49.4% took Latin, then the number of students who took both French and Latin is:

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189.00

123.00

63.00

90.00

answer is C.

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Detailed Solution

Concept- To solve this question, we will calculate the exact number of students who took French and Latin separately from the data provided in the question. Then, we will add the numbers and compare it to the total number of students since we will not obtain the number of students studying “only French” or “Only Latin” from the data provided in the question.
This comparison will bring us our desired final answer.
Given, total number of students in class = 250.
75.8% have taken French and 49.4% have taken Latin.
Therefore, total number of students who have taken French, singly as well as alongside Latin
Question Image

Therefore, total number of students who have taken Latin, singly as well as alongside French
Question Image

Therefore, total number of students who have taken French, singly as well as alongside Latin and students who have taken Latin, singly as well as alongside French
= (123.5 + 189.5) = 313.
Since, 313 is greater than 250, or the total number of students in class, 313 consists of the number of students who have only taken French, students who have only taken Latin, as well as students who have taken both.
Therefore, students who have taken both = (313 – 250) = 63.
Hence, the correct answer is 3.

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