Counting Figures Actual Question in CMAT 2023 Slot – 1

Q1. Count the numbers of triangles in the following figure.

A 8
B 12
C 9
D 14

EXPLANATION

Answer: B
Explanation:
We can see that there is a square that is divided into 4 parts.
Each part is divided into two triangles.
Hence the square is made up of 8 triangles, as labeled below

Now if observe Triangle number 2 and 7 can also form a triangle
Similarly triangle numbers 2 and 3, 3 and 6 and 6 and 7 can also form a triangle.
Hence total number of triangles = 8+4 = 12

Q2. How many squares does the figure have?

A 6
B 9
C 8
D 10

EXPLANATION

Answer: B
Explanation:
The given figure is made up of triangles, let’s number each triangle for better understanding.

We can observe that triangles 1 and 2 will make a square.
Similarly, 3 and 4, 5 and 6, 7 and 8, 9 and 10 and 11 and 12 will also make a square
Triangles 4, 5, 8 and 9 will also make a square
Triangles 1, 2, 3, 4, 9, 10, 11 and 12 will make a square and similarly triangles 3, 4, 5, 6, 7, 8, 9, and 10 will
make a square.
Hence there will be a total of 9 squares possible.

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