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?

• 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.
• 12 years agoHelpfull: Yes(19) No(3)
• two such combination exists
  2,4,5,10,25
  4,5,10,20,25
  so prob.=2/37
• 12 years agoHelpfull: Yes(5) No(7)
• i think 1 because its given that he already choosen the numbers .. which satisfy the condition so he wins definitely ..??
• 11 years agoHelpfull: Yes(2) No(1)
• @ gourav plzzzz send me tcs question at "akramamu08@gmail.com "
• 12 years agoHelpfull: Yes(1) No(3)
• gourav plzz send me tcs question at "singh.ashish4nov@gmail.com
• 12 years agoHelpfull: Yes(1) No(2)
• hey guys plz post t ans fr tis!!!
• 12 years agoHelpfull: Yes(1) No(2)
• combinations are (1,4,25,2,5 & 10,4,25,5) So Probability=1/2
• 12 years agoHelpfull: Yes(1) No(1)
• plz send me tcs questions to g_naresh91@yahoo.com...plz...
• 12 years agoHelpfull: Yes(0) No(1)
• i thk 1/37
• 12 years agoHelpfull: Yes(0) No(3)
• 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?
• 11 years agoHelpfull: Yes(0) No(1)