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There are `(2a+16)` students in a Coaching Institute with three streams, i.e. Engineering, medical & Commerce. The ratio of students who take Energineering to Medical is `4:1.` Find total number of students in Coaching Institute. A. Total students who take Engineering are 8 more than total students who take Commerce and probability of selecting one student who take Medical is `1/8.` B. Total Commerce students in class are `25%` less than total Engineering students in the Coaching Institute.A. Statement A alone is sufficient to answer the question but statement B alone is not sufficient to answer the questions.B. Statement B alone is sufficient to answer the question but statement A alone is not sufficient to answer the question.C. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.D. Either stetement A or stetement B by itself is sufficient to answer the question. |
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Answer» Let students who take Engineering ans Medical be 4b & b respectively Total students who take Commerce `=(2a+16)-(4b+b)=(2a+16-5b)` From A- `4b-(2a+16-5b)=8` `-2a+9b=24…(i)` Also, `(b)/((2a+16))=1/8` `-2a+8b=16" "(ii)` `b=8` Total students in Coaching Institute = 64 From B- `(2a+16-5b)xx75/100=4b" "...(i)` `6a+48-15b=16b` `31b=6a+48` `b=(6a+48)/(31)` So, statement A alone is sufficient to answer the question but statement B alone is not sufficient to answer the question. |
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