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Maths

Cube, square,roots,simplyfication

Nov 07, 7:30 PM

90 minutes

Nov 07, 9:00 PM

50.0 marks

MCQ

40 questions

shanjeda

I love teaching . I want to make a beautiful ❤️ world 🌍

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General Awareness

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west bangal board and other board examination

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Question Text

Question 1 :
The number whose cube and cube root both are equal is ..............

Question 4 :
Evaluate the cube root of : $\displaystyle \sqrt[3]{\left (\dfrac{125}{216} \right )}$

Question 9 :
The value of $\sqrt{5+\sqrt{11+ \sqrt{19 + \sqrt{29 + \sqrt{49 }}}}}$ is

Question 10 :
The square root of $\displaystyle\frac{36}{5}$ correct to two decimal places is _____________.

Question 12 :
The number that must be subtracted from $16161$ to get a perfect square is ________.

Question 13 :
Find the square root of the $9216$ by the prime factorisation method.

Question 19 :
Solve the quadratic equation $9{x^2} - 15x + 6 = 0$ by the method of completing the square.

Question 21 :
Workout the following divisions $54lmn (l + m) (m + n) (n + 1) \div 81mn (l + m) (n + l)$

Question 22 :
The area of a rectangle is $\displaystyle 12y^{4}+28y^{3}-5y^{2}$. If its length is $\displaystyle 6y^{3}-y^{2}$, then its width is

Question 24 :
Divide the following and write your answer in lowest terms: $\dfrac{x^2-36}{x^2-49}\div \dfrac{x+6}{x+7}$

Question 25 :
What must be added to $f(x)=4x^4+2x^3+2x^2+x-1$ so that the resulting polynomial is divisible by $g(x)=x^2+2x-3$

Question 26 :
If $x+\dfrac { 1 }{ x } =3$, then ${ x }^{ 4 }+\dfrac { 1 }{ x^{ 4 } }$=

Question 29 :
State whether the statement is True or False.The square of $(x+3y)$ is equal to $x^2+6xy+9y^2$.

Question 30 :
State whether the statement is True or False.Evaluate: $(6-5xy)(6+5xy)$ is equal to $36-25x^2y^2$.

Question 32 :
If $a\, -\displaystyle \frac{1}{a}\, =\, 8$ and $a\, \neq\, 0$; find $a^{2}\, -\, \displaystyle \frac{1}{a^{2}}$

Question 33 :
The product of $(2x^2 -3x + 1)$ and (x -3) is.equal to

Question 34 :
State whether the statement is True or False.Evaluate: $(a+bc)(a-bc)(a^2+b^2c^2)$ is equal to $a^4-b^4c^4$.

Question 35 :
If $x+y = 9$ and $xy = 16$ , find the value of $(x^2 + y^2)$.

Question 38 :
If $\displaystyle a + \dfrac{1}{a} = 4$ and $\displaystyle a \neq 0$, find : $\displaystyle a^{4} + \dfrac{1}{a^{4}}$

Question 39 :
If $\displaystyle \dfrac{x^{2} + 1}{x} = 3\dfrac{1}{3}$ and $\displaystyle x > 1$; find the value of $\displaystyle x^{3} - \dfrac{1}{x^{3}}$

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