यदि \(f:{1,2,3,4,5,6}\to{0,1}\) को (f(n)=0) जब (n) (3) से विभाज्य हो और (f(n)=1) अन्यथा दिया गया है तो (f^{-1}({0})) क्या है?

If \(f:{1,2,3,4,5,6}\to{0,1}\) is given by (f(n)=0) when (n) is divisible by (3) and (f(n)=1) otherwise, what is (f^{-1}({0}))?

Explanation opens after your attempt
Correct Answer

B. ({3,6})

Step 1

Concept

The value zero is produced by inputs divisible by (3). Hence the preimage is ({3,6}).

Step 2

Why this answer is correct

The correct answer is B. ({3,6}). The value zero is produced by inputs divisible by (3). Hence the preimage is ({3,6}).

Step 3

Exam Tip

शून्य वे इनपुट देते हैं जो (3) से विभाज्य हैं। इसलिए पूर्वछवि ({3,6}) है।

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यदि \(f:{1,2,3,4,5,6}\to{0,1}\) को (f(n)=0) जब (n) (3) से विभाज्य हो और (f(n)=1) अन्यथा दिया गया है तो (f^{-1}({0})) क्या है? / If \(f:{1,2,3,4,5,6}\to{0,1}\) is given by (f(n)=0) when (n) is divisible by (3) and (f(n)=1) otherwise, what is (f^{-1}({0}))?

Correct Answer: B. ({3,6}). Explanation: शून्य वे इनपुट देते हैं जो (3) से विभाज्य हैं। इसलिए पूर्वछवि ({3,6}) है। / The value zero is produced by inputs divisible by (3). Hence the preimage is ({3,6}).

Which concept should I revise for this Mathematics MCQ?

The value zero is produced by inputs divisible by (3). Hence the preimage is ({3,6}).

What exam hint can help solve this Mathematics question?

शून्य वे इनपुट देते हैं जो (3) से विभाज्य हैं। इसलिए पूर्वछवि ({3,6}) है।