Elitmus
Exam
Numerical Ability
Probability
find the probability that a heximal(number system with base 6 ) number when converted to its equivalent decimal value will be divisible by 10 ?
Read Solution (Total 8)
-
- no. in base 6 ---------------convert the no. in base 10
1 -------- 1
2 ------- ---- 2
3 ----------- 3
4 ---------- 4
5 --------- 5
10 ---------- 6
11 ---------- 7
12 ---------- 8
13 ---------- 9
14 ---------- 10
so required probability = 1/10
- 10 years agoHelpfull: Yes(7) No(4)
- if we consider no from 1 to 10 then out of all these no. only one no . that is 5 which is when converted in decimal gives 30 , which is divided by 10
another if we take no from 11 to 20 then no 14 gives correct ans and hence this is applicabe in fruther cases
hence if we take probability of such solution then it will be 1/10 - 10 years agoHelpfull: Yes(3) No(1)
- 1/10 ... there will be 1 out of 10 no. which will be divisible by 10
- 10 years agoHelpfull: Yes(2) No(2)
- It does not matters which base we are converting to decimal.
When we convert it to decimal the last digit will be any from 0 - 9 ,
i.e. 0,1,2,3,4,5,6,7,8,9
Since we need to find out whether the converted decimal is divisible by 10 the last digit needs to be zero (0).
So total outcomes = 10
i.e. (0,1,2,3,4,5,6,7,8,9)
Favourable outcome = 1
i.e. any number ending with zero
So probability will be: 1/10.
Simple - 8 years agoHelpfull: Yes(2) No(0)
- suppose the heximal number is 5 it can be converted as decimal
5*6=30
it is divisible by 10 - 10 years agoHelpfull: Yes(0) No(5)
- @prabhakar singh Can you give me the 10 cases ?
- 10 years agoHelpfull: Yes(0) No(0)
- 0 to 5 no. in hex at 0 get 0 decimal divisible by 10
so 1/6 - 10 years agoHelpfull: Yes(0) No(1)
- how is an hexadecimal number base 6?????? as far as i know it is base 16...
- 9 years agoHelpfull: Yes(0) No(0)
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