Latest Elitmus Aptitude Question SOLUTION: how many 4 digit numbers divisible by 5 formed from the number 0,1,2,3,4,5,6 and 6? answer=249

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(#M40018159) ELITMUS Numerical Ability question Keep an EYE

how many 4 digit numbers divisible by 5 formed from the number 0,1,2,3,4,5,6 and 6?

answer=249

Asked In Elitmus ASHOK KUMAR (11 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Dr.Dipin Singh  (11 years ago)

In order to be divisible by 5, the last digit can only be 0 or 5.

Case 1.... Only one 6 is used and when 0 comes last = 6*5*4=120
Case 2......Only one 6 is used and when 5 comes last = 5*5*4=100 ways
Case 3....Two 6s are used and when 0 comes last = 3*5=15 ways
Case 4..Two 6s are used and when 5 comes last and 4th digit is zero = 2 cases (like 6605 and 6065 only).
Case 5..Two 6s are used and when 5 comes last and 4th digit is not zero = 3*4=12

so total possible numbers are 120+100+15+2+12= 249

Is this solution Helpfull? Yes (23) | No (19)  

Yogesh Shukla  (10 years ago)

Repetition is not mentioned in the question.
Hence total 4 digit numbers div by 5 will be = 6*7*7*2= 588

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Suman  (11 years ago)

well explained, Dipin. Thanks a lot.

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jatashankar dewangan  (11 years ago)

thanx dipin

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Dipak Shaw  (10 years ago)

@dipin
if there is no restriction,,,,,,then
y u hv taken only 6 two times???

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