एक सर्वेक्षण में (45) लोग (A), (50) लोग (B), (42) लोग (C), (18) लोग \(A\cap B\), (20) लोग \(B\cap C\), (16) लोग \(C\cap A\), और (7) लोग तीनों में हैं। केवल (A) में कितने लोग हैं?

In a survey, (45) people are in (A), (50) in (B), (42) in (C), (18) in \(A\cap B\), (20) in \(B\cap C\), (16) in \(C\cap A\), and (7) in all three. How many people are only in (A)?

Explanation opens after your attempt
Correct Answer

A. (18)

Step 1

Concept

Only (A=45-(18-7)-(16-7)-7=18). Separate the triple part from pairwise intersections before subtracting.

Step 2

Why this answer is correct

The correct answer is A. (18). Only (A=45-(18-7)-(16-7)-7=18). Separate the triple part from pairwise intersections before subtracting.

Step 3

Exam Tip

केवल (A=45-(18-7)-(16-7)-7=18)। युग्म छेदनों से त्रिक भाग अलग करके घटाएं।

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Mathematics Answer, Explanation and Revision Hints

एक सर्वेक्षण में (45) लोग (A), (50) लोग (B), (42) लोग (C), (18) लोग \(A\cap B\), (20) लोग \(B\cap C\), (16) लोग \(C\cap A\), और (7) लोग तीनों में हैं। केवल (A) में कितने लोग हैं? / In a survey, (45) people are in (A), (50) in (B), (42) in (C), (18) in \(A\cap B\), (20) in \(B\cap C\), (16) in \(C\cap A\), and (7) in all three. How many people are only in (A)?

Correct Answer: A. (18). Explanation: केवल (A=45-(18-7)-(16-7)-7=18)। युग्म छेदनों से त्रिक भाग अलग करके घटाएं। / Only (A=45-(18-7)-(16-7)-7=18). Separate the triple part from pairwise intersections before subtracting.

Which concept should I revise for this Mathematics MCQ?

Only (A=45-(18-7)-(16-7)-7=18). Separate the triple part from pairwise intersections before subtracting.

What exam hint can help solve this Mathematics question?

केवल (A=45-(18-7)-(16-7)-7=18)। युग्म छेदनों से त्रिक भाग अलग करके घटाएं।