Teachoo Quiz

Maths Binomial Theorem Class 11 MCQ and Assertion Questions

Short Quiz · Class 11 · Maths · CBSE

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Chapter 7 Class 11 Binomial Theorem | 5 questions | about 4 minutes

Practise Binomial Theorem Class 11 with Teachoo's Short Quiz (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 5
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Question 1 of 5
Assertion (A): The value of \((1.01)^{1000000}\) is strictly greater than 10,000.
Reason (R): \((1+x)^n = 1 + nx + \text{other positive terms}\) for any positive real \(x\) and positive integer \(n\).
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Question 2 of 5
Assertion: For every positive integer \(n\), \[ {}^{n}C_0-{}^{n}C_1+{}^{n}C_2-\cdots+(-1)^n{}^{n}C_n=0. \]
Reason: Substituting \(x=-1\) in the expansion of \((1+x)^n\) gives \((1-1)^n=0\).
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Question 3 of 5
Assertion: \[ 98^5<100^5. \]
Reason: In the binomial expansion of \((100-2)^5\), every term after \(100^5\) is negative.
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Question 4 of 5
Assertion (A): \(6^n - 5n\) always leaves a remainder of 1 when divided by 25 for any positive integer \(n\).
Reason (R): \(6^n\) can be written as \((1+5)^n\), which expands to \(1 + 5n + 25k\) where \(k\) is a natural number.
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Question 5 of 5
How many terms are present in the expansion of \((a+b)^{12}\)?
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