Test Details

Binomial Theorem

Test-04

Feb 24, 1:00 AM

90 minutes

Feb 24, 2:30 AM

45.0 marks

MCQ

25 questions

J prakash

Diploma in computer science and engineering. B.sc in physics hons. Cisco certified engg.

Class Details

Communication skills

Applied mathematics

Applied Physics

Engineering Graphics

Applied Chemistry

1st Semester Group A

Communication skills

Applied mathematics

Applied Physics

Engineering Graphics

Applied Chemistry

only for gr A student.

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Question Text

Question 2 :
If sum of the coefficients in the expansion of $(2+3cx+c^2x^2)^{12}$ vanishes, then $c$ equals to

Question 3 :
If the  coefficent of $x^{2}$ in the expansion of $(1+x)^{m}$ is $6$ then $m=..........$

Question 4 :
If the sum of binomial coefficient in the expansion $(1+x)^{n}$ is $256$, then $n$ is

Question 6 :
If $x^{4}$ occurs in the $rth$ term in the expansion of $\left(x^{4}+\dfrac{1}{x^{3}}\right)^{15}$, then $r=$

Question 7 :
The expansion of $\left( x + \sqrt { x ^ { 3 } - 1 } \right) ^ { 5 } + \left( x - \sqrt { x ^ { 3 } - 1 } \right) ^ { 5 }$ is a polynomial of degree

Question 9 :
The positive integer just greater than ${\left( {1 + 0.0001} \right)^{10000}}$ is 

Question 11 :
 the coefficients of $x^{49}$ in the polynomial.  $\left (x \, - \, \dfrac{C_1}{C_0}\right) \, \left (x \, - \, 2^2 \, \dfrac{C_2}{C_1}\right) \, \left (x \, - \, 3^2 \, \dfrac{C_3}{C_2}\right) \, ..... \,  \, \left (x \, - \, 50^2 \, \dfrac{C_{50}}{C_{49}}\right)$ is

Question 12 :
The number of irrational terms in the expansion of ${ ({ 5 }^{\tfrac 16 }+{ 2 }^{ \tfrac 18 }) }^{ 100 }$ is

Question 14 :
The 3rd, 4th, and 5th terms in the expansion $(x \, + \, a)^n$ are respectively 84, 280, and 560, find the values of x, a and n.

Question 15 :
The number of terms in the expansion of $ (1+5\sqrt{2}x)^9 + (1-5\sqrt{2}x)^9 $ is :

Question 16 :
The sum of coefficients of integral powers of $x$ in the binomial expansion of $(1-2\sqrt x)^{50}$ is : 

Question 17 :
If the coefficients of 2nd, 3rd and the 4th terms in the expansion of ${ \left( 1+x \right)  }^{ n }$ are in A.P, then value of $n$ is

Question 18 :
The number of irrational terms in the expansion of ${ \left( { 4 }^{ 1/5 }+{ 7 }^{ 1/10 } \right)  }^{ 45 }$ is

Question 22 :
If the sum of the coefficients in the expansion of $(\alpha^{2}x^{2}-2\alpha x+1)^{51}$ vanishes, then the value of $\alpha$ is :

Question 25 :
The number of irrational terms in the binomial expansion of $(3^{1/5}+7^{1/3})^{100}$ is

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