help me solvin.....

Q===let M be the set of all the distinct factors of the number N=6^5*5^2*10, which are perfect squares.find the product of the elements contained in the set M

A-2^72*3^48*5^24    B-2^72*3^44*5^20  (PLEASE EXPLAIN ME THE PROCEDURE TO FIND THE PRODUCT PLEASE)

Q----there are two clocks .One of them gains 2min in 12 hrs and the another loses 2 min in 36 hrs .both are set right at 12 noon on tuesday .What will be the correct time when both of them show the same time for the next time?

a  a2night    b 1.30 am   c 10.30 pm   d 12 noon

 

The Values of set M are 62
The Values of set M are 62 , 64 , 52 , 6252 , 6452
So the product is 61256

Is it this simple or I am making some mistake in understanding the question.

 

Clock 1 gains 2 min in 12
Clock 1 gains 2 min in 12 hours i.e 1/6 min /hour
Clock 2 loses 2 min in 36 hours i.e 1/18 min /hour
 
Time difference after 1 hour = (1/6 + 1/18 )min
                                               =2/9 min
 
To show the same time the time difference between the two clocks should be 24hours.
 
For 2/9 min time difference we need 1 hour
=> For 1 min time difference we need 9/2 hour
=> For 24 x 60 min time difference we need 9/2 x 24 x 60 hour
= 12 x 60 x 9 hour
= 30 x 9 Days
= 270 days
 

So after 270 days on 12 noon both the clock ‘ll show the same time again with one day difference

 

q1

thx for solvin yaar in the first question u have to first find the even multiples of M n the find there product...i just know this but dont know how to solve it

should not the required time

should not the required time difference be 12 hrs instead of 24. ie if we are also taking the am pm thingy into account.

Initially I was thinking in
Initially I was thinking in that way but the questions What will be the correct time when both of them show the same time for the next time.

But in the question it is written as 12 noon and the option had options in AM /PM . So I went for 24 hours

@. Searchin-life

your solution is not correct for the first question

qn 1.

hi guys,

for a perfect square the powers of prime factors mst be even....
N=6^5*5^2*10
N=2^6*3^5*5^3

so powers of 2 can be 2^0,2^2,2^4,2^6
so powers of 3 can be 3^0,3^2,3^4
so powers of 5 can be 5^0,5^2

so in total there will be 4*3*2 = 24 numbers....

Out of these every 6 numbers will have power 2^0,2^2,2^4,2^6
so total power of 2 will be 2^72

Out of these every 8 numbers will have power 3^0,3^2,3^4
total power of 3 will be 3^48

Out of these every 12 numbers will have power 5^0,5^2
total power of 5 will be 5^24

so total pdt will be 2^72*3^48*5^24

hiiii saheen...i cudnt under

hiiii saheen...i cudnt under stand ur sol yaar....plz xplain it once more

 

hi

see in a perfect square the powers of prime factors are always even....
e.g. 36 = 2^2 * 3^2
144= 2^4 * 3^2

so we find out wht can be the even powers of the factor....
2^0,2^2,2^4,2^6==>total numbers 4
3^0,3^2,3^4==>total numbers 3
5^0,5^2==>total numbers 2

so total perfect numbers generated will be 4*3*2 = 24
now in these 24 numbers 6 numbers will have power of 2 as 0
6 numbers will have power of 2 as 2
6 numbers will have power of 2 as 4
6 numbers will have power of 2 as 6.....

and frm hereon plz refer my earlier post...
i cant be clearer than this...
plz note my gmail id n we can chat abt any doubt if u have... shaheen.csc@gmail.com

regards,
shaheen

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