Latest Elitmus Aptitude Question SOLUTION: In how many ways numbers of five digit can be formed by using 0,2,4,6,8 such that the numbers are divisible by 8.

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(#M40094057) ELITMUS Numerical Ability question Keep an EYE

In how many ways numbers of five digit can be formed by using 0,2,4,6,8 such that the numbers are divisible by 8.

Asked In Elitmus Paresh Kumar Nayak (9 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

sourav  (9 years ago)

30...
BY MAKING PAIRS

Is this solution Helpfull? Yes (15) | No (6)  

ASHISH MUKHERJEE  (9 years ago)

Possible combination:
---024 ->2ways
--048-> 2ways
--064-> 2ways
-0824->1ways
-0624->1ways
-0864->1ways
--840->2ways
--408->2ways
--480->2ways
--240->2ways
--640->2ways
--208->2ways
--608->2ways
--248->1ways
-0824->1ways
According to me total 20 ways.

Is this solution Helpfull? Yes (8) | No (7)  

harshad sarangal  (9 years ago)

30..
pairs with zero at last three are 12 so 2*1*12=24
and not zero at last three are 6 so 1*1*6=6
so total 30

Is this solution Helpfull? Yes (8) | No (2)  

Kanhaiya Kumar  (9 years ago)

36
2X18(triad of no divisible by 8) = 36

Is this solution Helpfull? Yes (4) | No (9)  

ASHISH MUKHERJEE  (9 years ago)

the combination is which of 5 digit which divisible of 8 is:
last three digit:- 024,048,064,240,208,264,280,248,408,480,608,624,648,680,640,824,840,864
so total :- 18 ways.

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

vivek  (9 years ago)

@ Ravi Digit 3 is not given. So 30 will be rgt ans

Is this solution Helpfull? Yes (4) | No   

Alok Singh  (9 years ago)

assuming repetition is allowed
1st place can be 4 numbers except 0
2nd place can be all 5 numbers
now digits including 3rd,4th,5th must be divisible by 8 so
these will be
000
008
024
048
064
080 like wise for 2, 4, 6, 8 all numbers will be 6*5(repetition allowed)=30
so total numbers are= 4*5*30=600

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

prashant shekhar singfh  (9 years ago)

assuming repetition is allowed
1st place can be 4 numbers except 0
2nd place can be all 5 numbers
now digits including 3rd,4th,5th must be divisible by 8 so(last three digit should be divisible by 8)
these will be
000
024
040
048
064
080
088
and same way for 2,4,6,8
so total is 8*5=40
answer is 4*5*40=800 ways

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

lavanya  (9 years ago)

pls explain clearly

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

ravi prakash  (9 years ago)

024-2 ways
048-2
064-2
208-2
240-2
248-1
264-1
280-2
304-2
320-2
328-1
360-2
368-1
408-2
480-2
608-2
624-1
640-2
648-1
680-2
-------------------------
total----38 ways

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

ravi prakash  (9 years ago)

also other combination are
824-1
840-2
864-1
total-38 ways

Is this solution Helpfull? Yes | No (2)  

Saroj kumar  (9 years ago)

Arrange at unit place 0 2 4 6 8 respectively.
Then arrange other digits .each unit digit will make total 12 arrangements.
Check division by 8. U will get total 18 arrangements

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