Latest TCS Aptitude Question SOLUTION: Mr. Decimal enters a lucky draw that requires him to pick five different integers from 1 through 37 inclusive. He chooses his five numbers in such a way that the sum of their logar

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Mr. Decimal enters a lucky draw that requires him to pick five different integers from 1 through 37 inclusive. He chooses his five numbers in such a way that the sum of their logarithms to base 10 is an integer. It turns out that the winning 5 numbers have the same property, i.e. the sum of their logarithms to base10 is also an integer. What is the probability that Mr. Decimal holds the winning numbers?

Asked In TCS Gourav Jaiswal (11 years ago)

Unsolved Read Solution (10)

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Preetam Mitra  (11 years ago)

We know log(a)+log(b)+log(c)+log(d)+log(e)=log(a*b*c*d*e).
From the above question there are only two no.s 1000 and 10000 within range having correct decimal value of 3 & 4.
Now the factors of 1000 is = 2,2,2,5,5,5
If the no.s are arranged then we get One sample spaces 2*4*5*25*1.
Similarly for 10000 we get 2*4*5*10*25 , 5*8*10*25*1 & 4*5*20*25*1.
So all total there are 4 sample spaces and Mr Decimal is choosing one of the combination than the probability will be equal to 1/4.

Is this solution Helpfull? Yes (19) | No (3)  

nirvan gupta  (11 years ago)

two such combination exists
2,4,5,10,25
4,5,10,20,25
so prob.=2/37

Is this solution Helpfull? Yes (5) | No (7)  

ravi  (10 years ago)

i think 1 because its given that he already choosen the numbers .. which satisfy the condition so he wins definitely ..??

Is this solution Helpfull? Yes (2) | No (1)  

akram  (11 years ago)

@ gourav plzzzz send me tcs question at "akramamu08@gmail.com "

Is this solution Helpfull? Yes (1) | No (3)  

Ashish Singh  (11 years ago)

gourav plzz send me tcs question at "singh.ashish4nov@gmail.com

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janani  (11 years ago)

hey guys plz post t ans fr tis!!!

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TIN@  (11 years ago)

combinations are (1,4,25,2,5 & 10,4,25,5) So Probability=1/2

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

naresh  (11 years ago)

plz send me tcs questions to g_naresh91@yahoo.com...plz...

Is this solution Helpfull? Yes | No (1)  

janani  (11 years ago)

i thk 1/37

Is this solution Helpfull? Yes | No (3)  

korumalli venkata ramakrishna  (10 years ago)

Mr. Decimal enters a lucky draw that requires him to pick five different integers from 1 through 31 inclusive. He chooses his five numbers in such a way that the sum of their logarithms to base 10 is an integer. It turns out that the winning 5 numbers have the same property, i.e. the sum of their logarithms to base10 is also an integer. What is the probability that Mr. Decimal holds the winning numbers?

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