Latest TCS Aptitude Question SOLUTION: How many 9 digits number can be formed out or 1,2,3,4,5 if repetition is allowed and the number is divisible by 4

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How many 9 digits number can be formed out or 1,2,3,4,5 if repetition is allowed and the number is divisible by 4

Asked In TCS Aman Kohli (10 years ago)

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rohin  (10 years ago)

if a number is divisible by 4 then the last two numbers should be divisible by 4.
so the divisible numbers should end with either 12,24,32,44,52.the rest of the 7 numbers can be arranged in (5)^7 ways.so for all of the above 5 cases its 5*(5)^7=(5)^8=390625

Is this solution Helpfull? Yes (20) | No (1)  

jagadamba prasad yadav  (10 years ago)

we make a 9 digit no and that no is divisible by 4 if no is divisble bye 4 then last two digit divisible by 4 then no ens with 12 ,24,32,44,52 amd remaining 7 plces can be arranged in (5)^7ways and no ends 12,24,32,44,52 then it creat a 5 cases then ans is (5)^7*5=390625

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lucky  (10 years ago)

Ans should be 4*5^7

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

lucky  (10 years ago)

sorry i haven't considered 44 case answer should be 5^8 only

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abhishek jaiswal  (10 years ago)

number is divisible by 4,so it must be end with either 2 or 4 of given digits. and 8 places will be like 5*(5)^7=390625

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harsha   (10 years ago)

in last two digits it can be filled in 5 ways and in 7 diguts we can fill in 4^6 ways so in total it can be formed in 20480 ways

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