Study the diagram given below and answer the question that follows.What number of students have sketch colours, crayons as well as pencil colours?(Assume a Venn diagram with intersecting regions where the central common intersection region of all three shapes equals 5).

To determine the number of students who have sketch colours, crayons, and pencil colours, we need to analyze the provided Venn diagram:


The diagram consists of three intersecting sets:

The circle represents the number of students having sketch colours.
The triangle represents the number of students having crayons.
The rectangle represents the number of students having pencil colours.
The intersection of all three sets, represented by the central region common to the triangle, circle, and rectangle, indicates the students who have all three: sketch colours, crayons, and pencil colours.

From the diagram, the number '3' at the intersection of all three sets is the required number of students.

Thus, the option 3 is the correct answer.

This analysis is based on carefully evaluating the intersection points and matching those values to the correct criteria as per the question. The marked regions clearly represent the students who possess each combination of colouring materials.