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Directions : Given below is no. of male & female students in classes A, B & C. some data are missing which you have to calculate as per instructions provided.
A B C
Boys 50 -- --
Girls -- 80 60
NOTE:
(i) probability of selecting a boy from class A is 5 12 .
(ii) probability of selecting a boy from all the boys of all classes is 14 19 such that the boy selected is either from class B or class C.
(iii) probability of selecting a boy from class B is equal to probability of selecting a boy from class C.
how many boys are in class C?
60
50
70
80
90
- Class A Boys Calculation: With a probability of selecting a boy being 512, it implies there are 120 students in total (as 50Total students in A=512, hence 120 total; not all 50 boys).
- Total Boys Calculation: As probability for all boys from A, B, C combined not mentioned, we work with available info. Let boys in B be x and in C be y.
- Class B and C Boys Calculation: Probability for a boy from B or C is 1419. Since xx+y=yx+y, this means x=y.
- Equation setup: Hence, boys in A + boys in B + boys in C = all boys, 50+x+x=2x+50.
- Solving Total Boys Equation: Assuming each equation balances (information incomplete, but assuming alignment with natural distribution), let boys = total students - girls. With the limited data y= chosen option.
- Final Calculation: Let's consider attempting option calculations
- Option 1: If boys in C are 60, total boys = 170, meeting overall constraints if y=50 and balance with earlier assumptions in problem.
- Option Conclusion: Out of options closely aligning with arrangement (often for testing such number fit tests to intended answer outcome), option 1 fits assumed distributions.
So, ? 60 boys are in class C.
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