Latest TCS Aptitude Question SOLUTION: 125^n divides 325^325

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125^n divides 325^325

Asked In TCS Nagoormeeral (10 years ago)

Solved Shraddha Chunekar Read Solution (5)

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Shraddha Chunekar  (10 years ago)

325^325=(13*25)^325 = (13^325)*(5^650)
125^n=5^(3n)
power of 5 in numerator should be greater then denominator
so 650>3n and hence
n=216

Is this solution Helpfull? Yes (17) | No (2)  

anuj kumar  (10 years ago)

it may be 125 ...325^325= (13*25)^325 = (13^325)*(5^650)
125^n = 5 ^ (3n)
now we can say that to divide the value we can apply the value of n as
3n < 650 so the value of n is less than 216 , it may be 125 ,100 ,150, 200 etc etc but in tcs 125 was an option

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mano ranjitha  (9 years ago)

can any one tell me how to handle this question

Is this solution Helpfull? Yes (4) | No (1)  

Jalpa  (9 years ago)

Here, in 325 there are 2 5's and in 125 there are 3 5's.
We need not to be concerned about the 13 in 325 as it is in numerator and 325^325 need to be divisible by 125^n.

In 325 times 325 ,there are 650(325*2) 5's in denominator and they have to be divisible by 125^n
So now we need 650/3=216 125.(as there are 3 5's in one 125)

Now 125^216 is divides 325^325

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ARCHIE GUPTA  (9 years ago)

5^2010=6+3+0+1=1
8^673=8(always fr odd powers)
1*8=8

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