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nested operation MCQ Questions for Class 12
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Practice Questions
4 questions tagged with nested operation.
\(\mathbb{R}\) पर (a*b=a+b-3) है। (a*(b*c)) का सरल रूप क्या है?
On \(\mathbb{R}\), (a*b=a+b-3). What is the simplified form of (a*(b*c))?
#binary operations
#nested operation
#algebra
A (a+b+c-6)
B (a+b+c-3)
C (a+b-c-6)
D (a-b+c-3)
Explanation opens after your attempt
Correct Answer
A. (a+b+c-6)
Step 1
Concept
First (b*c=b+c-3).
Step 2
Why this answer is correct
(a*(b*c)=a+(b+c-3)-3=a+b+c-6).
Step 3
Exam Tip
Substitute the complete value of the inner operation into the next step. चरण 1: पहले (b*c=b+c-3)। चरण 2: (a*(b*c)=a+(b+c-3)-3=a+b+c-6)। चरण 3: अंदर की संक्रिया का पूरा मान अगले चरण में रखें।
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यदि (a*b=2a+3b), तो (a*(b*c)) का सरल रूप क्या है?
If (a*b=2a+3b), what is the simplified form of (a*(b*c))?
#binary operations
#nested operation
#algebra
A (2a+6b+9c)
B (4a+6b+3c)
C (2a+3b+3c)
D (6a+2b+9c)
Explanation opens after your attempt
Correct Answer
A. (2a+6b+9c)
Step 1
Concept
First evaluate the inner operation: (b*c=2b+3c).
Step 2
Why this answer is correct
Then (a*(b*c)=2a+3(2b+3c)=2a+6b+9c).
Step 3
Exam Tip
In nested operation questions, always work from inside to outside. चरण 1: पहले भीतर की संक्रिया करें, (b*c=2b+3c)। चरण 2: अब (a*(b*c)=2a+3(2b+3c)=2a+6b+9c)। चरण 3: मिश्रित कोष्ठक वाले प्रश्नों में हमेशा अंदर से बाहर की ओर चलें।
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यदि (a*b=a+b+2) है, तो ((1*2)*3) का मान क्या होगा?
If (a*b=a+b+2), what is the value of ((1*2)*3)?
#nested operation
#brackets
#binary operations
A (8)
B (9)
C (10)
D (11)
Explanation opens after your attempt
Step 1
Concept
First (1*2=1+2+2=5).
Step 2
Why this answer is correct
Then (5*3=5+3+2=10).
Step 3
Exam Tip
Apply the operation twice according to the brackets. चरण 1: पहले (1*2=1+2+2=5)। चरण 2: फिर (5*3=5+3+2=10)। चरण 3: कोष्ठक के अनुसार संक्रिया दो बार लगानी पड़ती है।
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यदि (a*b=2a-b) है, तो (5*(2*3)) का मान क्या होगा?
If (a*b=2a-b), what is the value of (5*(2*3))?
#binary operations
#nested operation
#medium
A (9)
B (11)
C (13)
D (15)
Explanation opens after your attempt
Step 1
Concept
First (2*3=2(2)-3=1).
Step 2
Why this answer is correct
Now (5*1=2(5)-1=9).
Step 3
Exam Tip
Write every intermediate value clearly to avoid option confusion. चरण 1: पहले (2*3=2(2)-3=1) मिलेगा। चरण 2: अब (5*1=2(5)-1=9)। चरण 3: यदि विकल्पों में भ्रम हो तो हर मध्य मान साफ लिखें।
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