Latest Elitmus Aptitude Question SOLUTION: How many 5 digit number can be formed out of digits 0,2,4,6,8 that is divisible by 8. 1. 26 2. 30 3. 38

• Placement Papers
• /
• Elitmus
• /
• Numerical Ability
• /
• Permutation and Combination

Elitmus Question Papers:

(#M40157604) ELITMUS Numerical Ability question Permutation & Combination Keep an EYE

How many 5 digit number can be formed out of digits 0,2,4,6,8 that is divisible by 8.

1. 26 2. 30
3. 38 4. 96

Asked In Elitmus Swapnil (7 years ago)

Unsolved Read Solution (7)

Is this Puzzle helpful?   (52)   (14) Submit Your Solution Permutation and Combination

Read Solution (7) :

Abhishek Pandey  (7 years ago)

For a number to be divisible by 8, its last three digits must divisible by 8.

So, last three digits can be from the following group
(024), (048), (064), (208), (240), (248), (264), (280), (408), (480), (608), (624), (640), (648), (680), (824), (840), (864),

There are 18 such groups.

Consider these 12 groups in which zero is there
(024), (048), (064), (208), (240), (280), (408), (480), (608), (640), (680), (840)

With each of these 12 groups, first digit can be any of the remaining 2 digits and second digit can be the remaining one digit
Therefore, 12×2 = 24 such numbers

Consider the 6 groups in which zero does not come
(248), (264), (624), (648), (824), (864),

With each of these 6 groups, first digit can be the one remaining digit(because zero cannot be the first digit)
Second digit can be zero
Therefore, 6×1 = 6 such numbers

Therefore, total count of 5 digit numbers = 24 + 6 = 30
So, Ans is 30

Is this solution Helpfull? Yes (59) | No (2)  

naman  (7 years ago)

2. 30 is the ans .
there is a procedure to solve such kind of problem checkout this link
http://www.careerbless.com/qna/discuss.php?questionid=1493

Is this solution Helpfull? Yes (11) | No (1)  

Nishu Kumari  (7 years ago)

0 can not be at first place so choices for first place is 4
For second place it is also 4 because one digit is already selected
Divisibility rule of 8 is last three digit should be divisible by 8 here it is 6

So 4*4*6=96

Ans is 4. 96

Is this solution Helpfull? Yes (2) | No (25)  

sajid  (7 years ago)

B....has been crying...

Is this solution Helpfull? Yes (2) | No (7)  

Suryam  (7 years ago)

Don't know

Is this solution Helpfull? Yes | No (3)  

LITAN SAHA  (7 years ago)

i could be 96

Is this solution Helpfull? Yes | No (1)  

pushpa  (4 years ago)

96 is the ans

Is this solution Helpfull? Yes | No (1)  

Please Login to Read Solution.