Question

Study the following information carefully and answer the questions given below it.
In a group of five persons $A,B,C,D$ and $E$:
1. $B$ and $C$ are intelligent in Mathematics and Geography.
2. $A$ and $C$ are intelligent in Mathematics and History.
3. $B$ and $D$ are intelligent in Political Science and Geography.
4. $D$ and $E$ are intelligent in Political Science and Biology.
5. $E$ is intelligent in Biology. History and Political Science.Who is intelligent in Mathematics, Geography and History?

• A. $E$
• B. $A$
• C. $D$
• D. $C$

Answer 1

The correct option is D $C$

We prepare a table from the given data as under:

	Maths	Geography	History	Political Science	Biology
A	Y	N	Y	N	N
B	Y	Y	N	Y	N
C	Y	Y	Y	N	N
D	N	Y	N	Y	Y
E	N	N	Y	Y	Y

$C$ is intelligent in Mathematics, History and Geography.

If we take people who are intelligent in a particular topic as a set, then what we want, is the intersection of the set of people who like mathematics and geography and the set containing people who like mathematics and history.
Now intersection of these two set contain only $C.$
Hence, $C$ is intelligent in history, Geography and mathematics.