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Cubes and Cube Roots

learn about cube and cube roots

Feb 25, 6:00 PM

100 minutes

Feb 25, 7:40 PM

100.0 marks

MCQ

71 questions

Rajesh Kharb

MSc,MEd,MBA,PHD

Class Details

Mathematics

💁9{B} The Balaji Academy

Mathematics

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Question Text

Question 7 :
From the following options, choose the option with which perfect cube does not ends with:

Question 9 :
If the unit's digit of cube of a number is $6 $, then what is the unit's digit of the number itself?

Question 16 :
If $\displaystyle 27={ a }^{ 3 }$, find the value of $a$.

Question 18 :
Find the digit at unit's place of $\displaystyle { 128 }^{ 3 }$.

Question 24 :
The smallest natural number by which $36$ must be multiplied to get a perfect cube is _____.

Question 27 :
<div><span>Find the smallest number by which the following number must be divided to obtain a perfect cube.</span><br/></div>704

Question 28 :
If a number is multiplied three times, then the number is called _____ of the final number.<br/>

Question 30 :
<span>Find the unit digit of the cube root of the following number: </span>$13824$

Question 31 :
Find the smallest number by which the number $108$ must be multiplied to obtain a perfect cube.

Question 32 :
<span>Find the cube root of the following number by prime factorisation method:</span><br/><div>$512$</div>

Question 36 :
To cube a number, how many times you need to multiply the number with itself?<br/>

Question 37 :
<div><span>Find the smallest number by which the following number must be divided to obtain a perfect cube.</span><br/></div>135

Question 39 :
<div><span>Find the smallest number by which the following number must be divided to obtain a perfect cube.</span><br/></div>192

Question 41 :
The ______ of a number is a number, whose multiplication by three times gives that number.<br/>

Question 42 :
What is the unit digit of $\displaystyle { 100001 }^{ 3 }$?<br/>

Question 43 :
What is the least number by which $8640$ is divided, the quotient as a complete cube number?

Question 45 :
<div>Choose the correct option:</div>There is no perfect cube which ends in $4$.

Question 48 :
<span>Find the unit digit of the cube root of the following number: </span>$571787$

Question 54 :
<div><span>Find the cube root of the following number by finding their units and ten digits:</span><br/></div>$46656$

Question 59 :
Find the smallest number which should be multiplied to $392$ to make it a perfect cube.

Question 61 :
<div><span>Find the cube root $64$ by successive subtraction of numbers:</span></div><div><span>$(1, 7 ,19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ...)$</span></div>

Question 64 :
If we write $\displaystyle { n }^{ 3 }$ as the sum of consecutive odd numbers, then what will be the first term?

Question 68 :
What is the sum of six consecutive odd numbers to form $216$?<br/>

Question 69 :
What is the sum of $4$ consecutive odd numbers to form $64$?<br/>

Question 70 :
<SPAN>The product $864 \times n$ is a perfect cube. What is the smallest possible value of n ?</SPAN>

Question 71 :
If cube of a number is done what will be at unit palced 

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