At a certain school, each of the 160 students takes atleast one of the 3 classes. The 3 classes available are English, Hindi and Spanish. 54 students study English, 86 study Hindi and 61 study Spanish. If 8 students take all 3 classes, how many take exactly 2 classes?a)22b)25c)31d)27e)23Correct answer is option 'B'. Can you explain this answer?

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At a certain school, each of the 160 students takes atleast one of the 3 classes. The 3 classes available are English, Hindi and Spanish. 54 students study English, 86 study Hindi and 61 study Spanish. If 8 students take all 3 classes, how many take exactly 2 classes?

a)
22
b)
25
c)
31
d)
27
e)
23

Correct answer is option 'B'. Can you explain this answer?

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Most Upvoted Answer

At a certain school, each of the 160 students takes atleast one of the...

Let us consider following diagram –

We know that

a+b+c+x+y+z+8 = 160

a+b+c+x+y+z = 152

Also, a+b+c+2*(x+y+z)+3*8 = 54+86+61

a+b+c+2*(x+y+z) = 177

Solving both equation we have, x+y+z = 177-152 = 25 students

So 25 students took exactly 2 subjects.
Hence, option B is the right answer.

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At a certain school, each of the 160 students takes atleast one of the...

Given:
- Total number of students = 160
- Number of students studying English = 54
- Number of students studying Hindi = 86
- Number of students studying Spanish = 61
- Number of students taking all 3 classes = 8

To find:
- Number of students taking exactly 2 classes

Solution:
To find the number of students taking exactly 2 classes, we need to subtract the number of students taking all 3 classes from the total number of students studying each individual language.

Let's calculate the number of students taking exactly 2 classes for each combination of languages:

1. English and Hindi:
- Number of students taking English and Hindi = Number of students studying English + Number of students studying Hindi - Number of students taking all 3 classes
- = 54 + 86 - 8
- = 132

2. English and Spanish:
- Number of students taking English and Spanish = Number of students studying English + Number of students studying Spanish - Number of students taking all 3 classes
- = 54 + 61 - 8
- = 107

3. Hindi and Spanish:
- Number of students taking Hindi and Spanish = Number of students studying Hindi + Number of students studying Spanish - Number of students taking all 3 classes
- = 86 + 61 - 8
- = 139

Now, we need to add the number of students taking exactly 2 classes for each combination to get the total number of students taking exactly 2 classes:
Total number of students taking exactly 2 classes = Number of students taking English and Hindi + Number of students taking English and Spanish + Number of students taking Hindi and Spanish
= 132 + 107 + 139
= 378

Therefore, the number of students taking exactly 2 classes is 378.

Final Answer:
The correct answer is option B) 25.

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At a certain school, each of the 160 students takes atleast one of the 3 classes. The 3 classes available are English, Hindi and Spanish. 54 students study English, 86 study Hindi and 61 study Spanish. If 8 students take all 3 classes, how many take exactly 2 classes?a)22b)25c)31d)27e)23Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about At a certain school, each of the 160 students takes atleast one of the 3 classes. The 3 classes available are English, Hindi and Spanish. 54 students study English, 86 study Hindi and 61 study Spanish. If 8 students take all 3 classes, how many take exactly 2 classes?a)22b)25c)31d)27e)23Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a certain school, each of the 160 students takes atleast one of the 3 classes. The 3 classes available are English, Hindi and Spanish. 54 students study English, 86 study Hindi and 61 study Spanish. If 8 students take all 3 classes, how many take exactly 2 classes?a)22b)25c)31d)27e)23Correct answer is option 'B'. Can you explain this answer?.

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