IndiaBIX.com
Arithmetic Aptitude Data Interpretation
Logical Reasoning Verbal Reasoning Non Verbal Reasoning
General Knowledge
Sudoku Number puzzles Missing letters puzzles Logical puzzles Playing cards puzzles Clock puzzles
C Programming C# Programming Java Programming
Networking Database Questions Computer Science Basic Electronics Digital Electronics Electronic Devices Circuit Simulation Electrical Enigneering Engineering Mechanics Technical Drawing
Placement Papers Group Disucssion HR Interview Technical Interview Body Language
Aptitude Test Verbal Ability Test Verbal Reasoning Test Logical Reasoning Test C Programming Test Java Programming Test Data Interpretation Test General Knowledge Test
Data Structures Operating Systems Networking DATABASE Database Basics SQL Server Basics SQL Server Advanced SQL Server 2008 JAVA Core Java Java Basics Advanced Java UNIX Unix File Management Unix Memory Management Unix Process Managemnt C Interview Questions The C Language Basics .NET Interview Questions .NET Framework ADO.NET ASP.NET Software Testing

Aptitude - Square Root and Cube Root - Discussion

@ : Home > Aptitude > Square Root and Cube Root > General Questions - Discussion

Read more:

"It takes a very long time to become young."
- Pablo Picasso
3. 

The least perfect square, which is divisible by each of 21, 36 and 66 is:

[A]. 213444[B]. 214344
[C]. 214434[D]. 231444

Answer: Option B

Explanation:

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 22 x 32 x 72 x 112 = 213444


Janhavi said: (Fri, Oct 1, 2010 01:49:54 AM)    
 
How come the 2772? Please give me explanation.

Bujji said: (Sat, Oct 9, 2010 01:53:41 AM)    
 
Why should multiplied 7 with 11 ?

Karthik said: (Wed, Dec 22, 2010 05:35:39 AM)    
 
To make it a perfect square
Why should v multipled 7x11 with the lcm ?

Doov said: (Mon, Dec 27, 2010 04:16:20 AM)    
 
Why we should multiply 7 with 11?

Vishal said: (Fri, Jan 7, 2011 06:38:55 AM)    
 
Because 7 and 11 are don't have common factors.

Devi said: (Mon, Jan 24, 2011 02:51:32 AM)    
 
Any shortcut way to find out L.C.M of two or more number.

Neha said: (Wed, Feb 2, 2011 09:30:59 AM)    
 
3|21 36 66
|7 12 22
2|6 11 there fore lcm =3*7*2*6*11=2772
hence these can be written as
3*7*2*2*3*11
here 3 is of two times &2is of two times there fore remaining is 7&11 in order to have all squares 7*11 is taken
ans:213444

Tamil said: (Sat, Feb 26, 2011 12:06:27 PM)    
 
How separate 2772 into 2*2*3*3*7*11?

Nancy said: (Sat, Mar 12, 2011 10:10:37 AM)    
 
I totally cant understand the logic why we have to multiply 7 and 11. Can anyone explain this clearly?

Bilal said: (Tue, Mar 22, 2011 08:21:13 AM)    
 
How should we get to know that we have 2 tak out the lcm of that 3 no.

Anshul said: (Sun, Apr 10, 2011 05:13:15 PM)    
 
How can we know that in which question we have to take lcm or hcf.

Naveen said: (Sun, Apr 17, 2011 04:41:02 PM)    
 
How 7 square and 11 square came in last step please explain?

Sandip said: (Wed, Apr 20, 2011 02:56:28 AM)    
 
2 / 21 36 66
--------------------
2 / 7 18 66
---------------------
3 / 7 9 33
---------------------
3 / 7 3 11
----------------------
/ 7 1 11


2*2*3*3*7*11= 2772


pls see this way solve the problem

Sneha said: (Wed, May 18, 2011 12:02:07 PM)    
 
First least num that is divisible by 21,36,66 by taking l.c.m ,

We get 2772,
by taking factors 2772=2*2*3*3*7*11
as we have find least perfect square
we need to multiply with 7*11,so we can get perfect sq. near to 2772

So the soltn is 2*2*3*3*7*7*11*11 = 213444.

Aandal Priyadarshini said: (Wed, Jun 1, 2011 02:40:12 PM)    
 
Shall we divide it by 2 and 3 either multiplying it by 7 and 11, explain this plz anybody.

Ddamas said: (Sat, Jul 9, 2011 10:52:16 AM)    
 
If we divide it by 2 and 3
The figuers will be 2*3*7*11

And to find it's square root is difficult

If there are words like Highest,Biggest then H.C.F. is to be taken
and if there are words like Smallest,least then L.C.F. is to be taken(though this is not an exact interpretation but it has worked in all cases)

Sangeetha said: (Sun, Aug 14, 2011 11:09:40 PM)    
 
@Sneha

I didn't get last 2 steps in your solution, please can you help me.

Rakhi said: (Sat, Aug 27, 2011 10:46:50 AM)    
 
We should multiple it by 7 and 11 to make it a square... If you can see in the factors that 2*2 * 3*3 *7 * 11 = 2772 can not make a square until we multiply it by 7 to make 7*7 and by 11 to make 11*11.... Now 2*@ *3*3 * 7*7 *11*11 .... all are sqare ..which means (2*3*7*11)2(sqare) - (462)2(sqare) = 213444 (Ans)

Sk K said: (Fri, Sep 2, 2011 08:52:15 PM)    
 
Guys, try to solve such questions by options:


The least perfect square, which is divisible by each of 21, 36 and 66 implies that of all the options correct number should be divisible by 7, 11,2,3.
21=3x7
36=2^2X3^3
66=2x3x11


Of these four options only "1" is divisble by 7.

SO CORRECT ANSWER IS 1.

PS: If there were more than 2 choices divisble by 7, then eliminate one of them by divind them by 11 as well, and so on by the factors of the divisors. It would be your bad luck if you get multiple answers even after eliminating the options..

Raviteja said: (Fri, Oct 14, 2011 10:25:04 AM)    
 
How Separate Into 2 x 2 x 3 x 3 x 7 x 11 The 2772?

Deepu said: (Fri, Oct 28, 2011 08:47:37 AM)    
 
The lcm of 21,36,66=2772

I have a simple method.

213444is divisible by 21 comes 10164
and 36 to comes 5929
and 6 to comes 3234

So finaly it is divisible by 3 numbers.

Sowjanya said: (Fri, Oct 28, 2011 08:44:26 PM)    
 
It is very difficult to divide all the options with the given numbers. It will take more time it is better to go to the LCM/HCF methods. Its very simple that multiplying 7 and 11 to make all the number a perfect square and multiply all the numbers we will get answers.

Kumar said: (Mon, Nov 21, 2011 03:37:19 PM)    
 
How can 22 x 32 x 72 x 112 = 213444 - this be done in less than 10 secs?

Raju Kaki said: (Mon, Jan 2, 2012 03:20:08 PM)    
 
3/21,36,66
2/7,12,22
7,6,11
so l.c.m=3*2*7*6*11
=3^2*2^2*7*11
to make perfect square we have to multiply with 7 and 11the it turns
=3^2*2^2*7^2*11^2

Vijay said: (Tue, Jan 31, 2012 10:45:45 AM)    
 
How can 22*32*72*112 = 213444 this is done in less than 10 sec?

Write your comments here:
Name *:     Email:


© 2008-2011 by IndiaBIX™ Technologies. All Rights Reserved | Copyright | Terms of Use & Privacy Policy

Advertise     Contact us: info@indiabix.com     Follow us on twitter!