Aptitude - Square Root and Cube Root - Discussion

@Gunjan Rana.

7|59 29 |7
   |49 |
 ---------
   147 |10 29 |7
          |10 29 |
           ---------
           00 00

First of all we should divide the given number into two equal pieces it is 5929 so that 59 and 29 are the two pieces.

Now we have to divide the first part with the squares only.
now 10 is remainder.

After that we have to take the second part of the number that is 29.
now the value is 1029.

Previously we took 7 to divide the first now we should take the double of the 7 that is 14.
if the number can divide with 147*7=1029.
remainder is zero.

If it can able to divide 146 then you should multiply with 6. that is 146*6.

Similarly 145*5.
144*4.
143*3.

The last position should be match.

Another example for you.
1|1 69 |1
   |1 |
 ---------
   23 |0 69 |3
       |0 69 |
         ---------
           00 00

13 is your answer.

@Vishal

From given condition,

No. of paise to be collected = no. of members.

because each member of that group giving one paise.

given amount= Rs.59.29.

coverting rupees to paise, we get 5929ps.

in any case when each one gives same amount as other, we get total

amount in this method i.e amount each one gave*no. of persons.........(A)

in above problem.

if there is one person, we get one paise.

if there are x persons, we get x paise

from the condition ...........(A).

x*x=5929.

then x=77.

Hope you understand.

Read the question carefully!

We will take "AS MANY PAISE AS THE NUMBER OF PEOPLE IN THE GROUP".
it means
if 1 member then he will give as many members in the group i.e 1 paisa

if 2 member then they will give as many members in the group i.e 2 paisa per person. Therefore the tottal amount is 4 paisa

Similarly if there are 77 people in the group then total amount collected is 1529 i.e. 77*77.

First, let's take an example.

Consider there are 10 members in the group and everybody pay 10 paise.
So the total amount collected is the number of members * total money paid by each member = 10*10 = 100.
Now remember this and consider the given question..

Here number of members = Money collected by each member = x
total money collected = x*x
5929 = x^2
X =√ 5929.
x= 77.

Lets take a similar example..

Let there are 4 students.
So each member will contribute 4 paise.

i.e., Total amount= 4+4+4+4
=4(1+1+1+1)
=4*4=16.
=4^2
Hence, no.of students= square root of 16(i.e., total sum)which is equal to 4.

Thus we need to do the square root of the total amount.
Similarly relate to the given question.

As the question says, that the amount in paise being collected from every member = The number of members.

Suppose if there is 1 guy then he will contribute on 1 paise.

Similarly 5 members will contribute 5 paise each. Which means the total amount collected will be 5x5 = 25.

Therefore here also 5929 = mxm.

They will collect "as many paise from each member of the group as is the number of members" that means amount of paise collected from each member is equal the total number of members. As they collected 5929 paise that means there should have been 77 members. And they collected 77 paise from each member.

Here first we know when money is collected then this was paise not rupees.

But here the amount given in Rs.59.29 Which is eqal to Rs.59.29=(59.29*100)=5929 paise.

Secondly the conditon is if there was x menmber in a group and one member gives x paise then we can said,
X^2=5929. Or x=77.

@Mei144.

The question says "as many paise from each member of the group as is the number of members".that means the numbers of members and the amount donated is the same. There are 77 students and each donates 77 paise so 77*77=5929.

Hence the answer relates to the question.

There is a flaw in this question, the question doesn't mention "each member contributes the same amount", therefore, one could contribute 2 paise, another may contribute 25 paise, another may contribute 50 paise. This will result in an alteration in the no.of the members.