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Test: Binomial Theorem- 1 - UPSC MCQ


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5 Questions MCQ Test - Test: Binomial Theorem- 1

Test: Binomial Theorem- 1 for UPSC 2024 is part of UPSC preparation. The Test: Binomial Theorem- 1 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Binomial Theorem- 1 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Binomial Theorem- 1 below.
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Test: Binomial Theorem- 1 - Question 1
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Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for "Binomial Theorem" under Logical Reasoning and Data Interpretative. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.

 

Q. The number of terms in the expansion of (x + y)n is

Detailed Solution for Test: Binomial Theorem- 1 - Question 1

The number of terms in the expansion is one more than n i.e., n+1
The number of terms in the expansion (1+x)n = n+1.

Test: Binomial Theorem- 1 - Question 2
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nCr + nCr-1 =

Detailed Solution for Test: Binomial Theorem- 1 - Question 2

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Test: Binomial Theorem- 1 - Question 3
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The general term in (x + y)n is given by

Test: Binomial Theorem- 1 - Question 4
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The middle term in expansion of (x + y)n, in case of n being odd is
Detailed Solution for Test: Binomial Theorem- 1 - Question 4

 If n is odd then [(n+1)/2]th and [(n+3)/2)]th terms are the middle terms.

Test: Binomial Theorem- 1 - Question 5
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The middle term in expansion of (x + y)n, in case of n being even is
Detailed Solution for Test: Binomial Theorem- 1 - Question 5

Middle Term: Let Tn be the middle term in expansion of (x+y)n, then
Case 1: If n is odd, then the number of terms will be even and so there will be two middle terms given by [(n+1)/2]th and [(n+3)/2]th.
Case 2: If n is even, then the number of terms will be odd and so there will be only one middle term i.e. (n/2 + 1)th.

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