Question

In the given figure, the circle denotes intelligent persons, the triangle denotes the creative ones, while the rectangle consists of lazy persons. Find the people who are intelligent as well as creative.

A. B
B. F
C. A
D. D

Answer 1

Hint: This is a problem of set theory. In this question, we will identify each of the regions A, B, C, D, E, F and G. Then we will check which of the options among the given ones are representing the people who are intelligent as well as creative.

Complete step-by-step answer:
We will begin by identifying each of the following regions. It is given that A is the triangular region, B is the circular region and C is a rectangular region. So, according to the data we can write that-
A - region denoted by creative persons
B - region denoted by intelligent persons
C - region denoted by lazy persons
Now, we will identify the other regions. D is common between A and B. E is common between all three of A, B and C. F is common between A and C, and finally, G is common between B and C.
D - region denoted by creative and intelligent persons
E - region denoted by creative, intelligent and lazy persons
F - region denoted by creative and lazy persons
G - region denoted by creative and lazy persons

We need to find that region which denotes people who are intelligent as well as creative. We can clearly see that this region is D.

So, the correct option is D.

Note: An important point to note here is that if it is not clearly mentioned if the person is lazy or not, then we should assume that the question is asking for only the region which denotes the creative and intelligent persons only. So, students should not get confused between options D and E.