Test: Binomial Theorem- 2


10 Questions MCQ Test UPSC CSAT: Quantitative Aptitude (Quant) | Test: Binomial Theorem- 2


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QUESTION: 1

The co-efficient of x53 in the expansion  is

 

Solution:

QUESTION: 2

Use the binomial theorem to expand (2x − y) 4 .

Solution:

4C4(2x)4 - 4C3(2x)3y +4C2(2x)2(-y2) - 4C1(2x)(y3) +4C0(y4)
= 16x4  -  32x3y + 24x2y2 - 8xy3 + y4

QUESTION: 3

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QUESTION: 4

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QUESTION: 5

Use the binomial theorem to expand (2 − 3i)6

Solution:
QUESTION: 6

The second term of (2x − y) 4 is ?

Solution:

Second term of (2x − y)4 is 
4C1(2x)3(-y)
= -32x3y

QUESTION: 7

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QUESTION: 8

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QUESTION: 9

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QUESTION: 10

In the binomial expansion , the 6th term is . The value for is:

Solution:

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