Test Details

Exponents and Powers,Factorisation

Revision test

Feb 06, 6:00 PM

60 minutes

Feb 06, 7:00 PM

108.0 marks

MCQ

52 questions

Amit Pandey

Teacher at Sant Atulanand Convent School

Class Details

Maths

Science

Social Science

English

Hindi

General Knowledge

Coaching Class 8

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Question Text

Question 4 :
If the exponent of a negative integeris even then the result is a ............ integer.

Question 7 :
Choose the correct answer from the given four options:<br>Which of the following numbers in the standard form?<br><br>

Question 8 :
What is the smallest integer n for which $\displaystyle { 25 }^{ n }>{ 5 }^{ 12 }$?

Question 9 :
If $\sqrt { { 2 }^{ x } } =16$, then $x=$

Question 11 :
If $x$ is a positive integer satisfying $x^7=k$ and $x^9=m$, which of the following must be equal to $x^{11}$?<br>

Question 12 :
The average distance between the Sun and a certainplanet is approximately $\displaystyle 2.3\times { 10 }^{ 14 }$inches. Whichof the following is closest to the average distancebetween the Sun and the planet, in kilometers?(1 kilometer is approximately $\displaystyle 3.9\times { 10 }^{ 4 }$ inches )

Question 15 :
The value of ${ \left[ { \left( { 3 }^{ 2 } \right) }^{ 2 } \right] }^{ -1 }$ is-

Question 17 :
$ \displaystyle 3^{x-y}=27 $  and  $ 3^{x+y}=243 $ , then $x$ is equal to

Question 19 :
If $2^x - {2^{x - 1}} = 4$ then $x^x$ is equals to 

Question 20 :
If $4^{2x + 2} = 64$, then calculate the value of $x $.

Question 21 :
If $5^{k^2}(25^{2k})(625) = 25\sqrt{5}$ and $k < -1$, find the value of $k$.

Question 23 :
What must be added to $x^3-3x^2-12x + 19$, so that the result is exactly divisible by $x^2 + x-6$?

Question 27 :
What is $\dfrac {x^{2} - 3x + 2}{x^{2} - 5x + 6} \div \dfrac {x^{2} - 5x + 4}{x^{2} - 7x + 12}$ equal to

Question 34 :
Given $x^{2} + 7x + 12 = 0$. Then factors of $x^{2} + 7x + 12$ are :

Question 41 :
Find the product of $\displaystyle\frac { { k }^{ 2 }+13k+42 }{ { k }^{ 2 }+15k+56 } $ and $\displaystyle\frac { { k }^{ 2 }+8k }{ { k }^{ 2 }+11k+30 } $:

Question 44 :
Divide : $\displaystyle \left( 51{ m }^{ 3 }{ p }^{ 2 }-34{ m }^{ 2 }{ p }^{ 3 } \right)$ by $17mp$

Question 45 :
Find the value of$\displaystyle\left( { 7a }^{ 6 }-8{ a }^{ 5 }+9{ a }^{ 4 } \right) \div { a }^{ 3 }$

Question 47 :
$\displaystyle \frac{x^{-1}}{x^{-1} + y^{-1}} + \frac{x^{-1}}{x^{-1} - y^{-1}}$ is equal to

Question 48 :
Divide:$\displaystyle\left( { x }^{ 8 }{ y }^{ 7 }{ z }^{ 6 }-{ z }^{ 6 }{ y }^{ 7 }{ x }^{ 8 } \right)$ by$\displaystyle{ y }^{ 7 }{ x }^{ 8 }{ z }^{ 6 }$

Question 49 :
Evaluate: $\displaystyle \left( 4{ x }^{ 8 }-{ 5x }^{ 6 }+{ 6x }^{ 4 } \right) \div { x }^{ 4 }$

Question 50 :
Simplify: $\displaystyle \left( { a }^{ 2 }{ b }^{ 2 }{ c }^{ 3 }-{ a }^{ 2 }{ b }^{ 2 }{ c }^{ 3 }+{ a }^{ 2 }{ b }^{ 2 }{ c }^{ 3 } \right) \div { a }^{ 2 }{ b }^{ 2 }{ c }^{ 3 }$

Question 51 :
Divide:$\displaystyle\left( -16{ x }^{ 6 }-24{ x }^{ 4 } \right)$ by$\displaystyle\left( -{ 8x }^{ 3 } \right)$

Question 52 :
Which of the following does not have $\displaystyle (x-3)$ as a factor?

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