IBM
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Numerical Ability
Permutation and Combination
Q. In a software company 2/6 of people know C++,1/2 of them know java,1/5 of them know neither,find the total possibility to know C++?
Read Solution (Total 10)
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- possibility of knowing c++= 2/6
possibility of knowing java=1/2
there are 4 possibilities,
a person knows java but not c++=1/2*(1-(2/6))=1/3
a person knows c++ but not java= 2/6*(1-(1/2))=1/6
possibility of knowing neither =1/5
therefore, probability of knowing any one language only= 1/6+1/3=1/2
therefore possibility of knowing both= total probability- probability of knowing neither- probability of knowing anyone language only
total probability is always 1
so, required probability= 1 -(1/5) -(1/2) =3/10 - 11 years agoHelpfull: Yes(58) No(9)
- C++ Known people = 2/6,
Java Known people =1/2,
Neither C++ Nor Java = 1/5,
So,both known = 4/5,
Only C++ = 4/5(Both Known) - 1/2(java Known people)
= (8-5)/10
= 3/10. - 8 years agoHelpfull: Yes(25) No(0)
- Consider the total no. of people to be 30.(LCM of 6,2 and 5).
Now, people knowing C++ is 2/6*30=10. Therefor, possibility of people knowing C++ may be 10/30=1/3
Ans)1/3 - 11 years agoHelpfull: Yes(24) No(8)
- 1/2 + 1/5 + 2/6= 31/30
ans.=2/6 / 31/30= 10/31 - 11 years agoHelpfull: Yes(9) No(10)
- Ans-2/15
2/6 * 1/2 *(1-(1/5))=2/15. - 11 years agoHelpfull: Yes(8) No(17)
- possibility of knowing c++=2/6
possibility of knowing java=1/2
remaining=1-(2/6+1/2)=1/6
neither java and neither c++ =1/5
therefore....
probability of knowing both java and c++ =nether probability - remaining
=1/5-1/6=1/30
probability of knowing only c++=2/6-1/30=3/10 (ans)
- 9 years agoHelpfull: Yes(8) No(0)
- sum one give exact solution plzzzzzzzzzzzzzzz
- 11 years agoHelpfull: Yes(6) No(5)
- let total people=x
people knowing C++=2/6x
people knowing java=1/2x
neither=1/5x
both c++&java knowing people=2/6x+1/2x-1/5x=19/30x
total possibility to know C++=2/6*19/30
19/90
- 10 years agoHelpfull: Yes(5) No(3)
so, required probability= 1 -(1/5) -(1/2) =3/10
Read more at http://www.m4maths.com/31483-In-a-software-company-2-6-of-people-know-C-1-2-of-them-know-java-1-5-of-them.html#yzyjKBtxktQscPqm.99- 9 years agoHelpfull: Yes(2) No(4)
- C++ Known people = 2/6,
Java Known people =1/2,
Neither C++ Nor Java = 1/5,
So,both known = 1 - 1/5 = 4/5,(because total probability is 1)
Only C++ = 4/5(Both Known) - 1/2(java Known people)
= (8-5)/10
= 3/10. - 7 years agoHelpfull: Yes(1) No(0)
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