Latest TCS Aptitude Question SOLUTION: Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by 4

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Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by 4

Asked In TCS HIRIYAPPA MYAGERI (13 years ago)

Unsolved Read Solution (11)

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sanjay singh thakur  (13 years ago)

Ans.5^7
for any no divisible by 4 its last two dight is must divisble by it
now ther is only 5 ways to arrange last two digit means its possibilty or parmuntation is 5
and for remaining 6 digit at every place there is 5 possibility to chose no so
that it permuntation is 5^6
so total it is 5^6*5=5^7 ans

Is this solution Helpfull? Yes (36) | No (4)  

krishnamurthy  (12 years ago)

In order to be divisible by 4, the two least significant digits must be
12, 24, 32, 44, 52 (a total of 5 choices)
The other 6 digits can be any of the five allowed digits.
The total number of possible numbers is
(5^6)*(5) = 5^7 = 78125

Is this solution Helpfull? Yes (33) | No   

Ranjana Sinha  (13 years ago)

(12,24,32,54,44) are the five nos that can be formed by 1,2,3,4,5 and can be divisible by 4.
now,the first six digits can be arranged in 5^6 ways..
and the the last two digits can be arranged by 5 ways, for the no to be divisible by 4.
so, the digits can be arranged in 5^6*5 ways=5^7 ways..

Is this solution Helpfull? Yes (16) | No (9)  

RAVI  (13 years ago)

5^7
think how many combination can be formed with 1,2,3,4,5 that can be divisible by 4....(4,12,32,24,44)=5 combination
12digit number need to form so=5^6*5=5^7

Is this solution Helpfull? Yes (7) | No (6)  

veerbahadur gupta  (13 years ago)

5^7 coz patern shows...
5*5*5*5*5*5*5

Is this solution Helpfull? Yes (5) | No (2)  

kamlesh  (11 years ago)

Formula (N-1)^n
where
N=8,
n=5
so.ans= 5^7

Is this solution Helpfull? Yes (5) | No (1)  

mithunprasad  (12 years ago)

its 5^6

sol: the last two digits can be made in 5 different times(12,24,32,44,52)

and the first 6 digits can be made in
- - - - - - -
5 5 5 5 5 5 (5)
hence the total no of digits allowed are 5^6

Is this solution Helpfull? Yes (3) | No (6)  

BHAVDIP GADHIYA  (12 years ago)

FIRST DIVIDE BY 4 AND 5 NOS ARE USED.
CONDITION 4,12,24,32,44.SO FOR 8 DIGIT ,FIRST 6 DIGIT 5*5*5*5*5*5=5^6
AND LAST 2 DIGIT HAVE 5 COMBINATION SO 5^6*5=5^7.

Is this solution Helpfull? Yes (3) | No (2)  

Anamika singh  (13 years ago)

last no div by 4 are 12,24,32,44,52. so for 6 digits no f ways =6*6*6*6*6*6= 6^6
total ways= 5*6^6

Is this solution Helpfull? Yes (2) | No (22)  

saurabh kolhe  (13 years ago)

the most simple trick for this question is that the number having unit digit 5 will be the answer.leave other answers.

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

Suman Ghosh  (9 years ago)

All the ans are dummy ,as we have to form 8 digit no which is divisible by 4,so the ans is 12345132

Is this solution Helpfull? Yes | No (1)  

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