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Study the diagram and answer the question that follows. A-Academicians, E-Teachers, D-Women, B-Men and C = Doctors. The numbers inside the shapes indicate number of the respective persons. What is the sum total number of the following:

i)women academicians who are teachers

ii)teachers who are doctors and

iii) men who are NEITHER teachers NOR academicians?

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A64

B67

C41

D63

Answer:

B. 67

Read Explanation:

i)women academicians who are teachers = 19 ii)teachers who are doctors = 20 iii) men who are NEITHER teachers NOR academicians = 28 = 19+20+28 = 67


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Three statements are followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they do not conform to real world knowledge, decide which of the given conclusions/possibilities can be true on the basis of the statements.

Statements:

1. Some glasses are windows.

2. Some windows are white.

3. All white are brittle.

Conclusions

I. Some white are glasses.

II. Some brittle are glasses.

III. Some brittle are windows.

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In a society with 100 members , each member plays atleast one sport amongst cricket, hockey and volley ball. If 20 members plays cricket only , 30 play hockey only, 25 play volley ball only, 12 play both cricket and hockey, 7 play both hockey and volley ball and 3 members play all the sports , then how many members play atleast two sports ?