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Logical Reasoning
Number Series
How many 9 digit numbers are possible by using the digits 1,2,3,4,5, which are divisible by 4 if repetition of digits is allowed?
Read Solution (Total 11)
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- 5^8
last two is divisable by 4 is condition.
the possibility is 5(12,24,44,32,52)
5*5*5*5*5*5*5*5 - 13 years agoHelpfull: Yes(62) No(26)
- 5^N-1 is da formula
- 13 years agoHelpfull: Yes(48) No(10)
- 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 7 digits can be any of the five allowed numbers..
The total number of possible number is
(5^7)*(5) = 5^8 = 390625.. - 12 years agoHelpfull: Yes(32) No(6)
- 5^8
will be the ans - 13 years agoHelpfull: Yes(14) No(10)
- last 2 digit should be divisible by 4, for divisibility by 4
so last two can be 12 24 32 44 52
now out of left seven places each can be filled in 5 way
therefore ans=5*5*5*5*5*5*5*4 - 13 years agoHelpfull: Yes(9) No(37)
- If repetition is allowed, first 7 places can be filled in 5^7 ways and last 2 places can be 12, 24, 32, 52, 44 i. e. 5 ways therefore answer is 5^8
- 10 years agoHelpfull: Yes(3) No(3)
- please explain it how the ans of it can be find out.
- 12 years agoHelpfull: Yes(1) No(5)
- If A number has to be divisible by 4, the last two digits must be divisible by 4. So possibilities are, 12, 24, 32, 44, 52. And the of the remaining 7 places, each place got filled by any of the five digits. So these 7 places got filled by 5 x 5 x .....(7 times) = 5^7 ways. So total ways are 5 x 5^7 = 5^8
- 9 years agoHelpfull: Yes(1) No(0)
- The number which is divisible by 4 has 0,2,4,6,8 in its unit place.
so the unit place can be filled by 2 different ways , the first digit in 4 ways and rest 8 digits in 5 ways .
Total number of ways =4*5^8*2=3125000 - 8 years agoHelpfull: Yes(0) No(0)
- 5 ^ 8 * 2 =781250
- 8 years agoHelpfull: Yes(0) No(0)
- last two digits must be divisible by 4. So possibilities are, 12, 24, 32, 44, 52.
7 places, are left to fill by any of the five digits in this way we get
5*5*5*5*5*5*5*5=5^8 - 7 years agoHelpfull: Yes(0) No(0)
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