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**Counting Figures**

The counting figure is part of non-verbal reasoning. This types of non-verbal reasoning involve counting geometrical figures in a given figure. Which is a mixture of two or more types of complex figures. Such type of questions are designed to test the analytical deposition of the candidates. These may be straight lines, triangles, rectangles and other geometrical figures. You are required to select from the alternatives that which is correct answer.

But in these questions we find difficulty to solve the problem. For solving these questions candidates need to note the diagram and count the small figures.

We have some examples to solve figure count problem for the candidates to learn.

Here you are required to understand the general structure of the real figure. Then choose the correct alternative.

**Example : **How many squares are there in the figure :

(A) 20 (B) 28 (C) 32 (D) 27

**Solution :** (D)

Names of Squares are —

ABA'X, DEFB, C'D'T'S', D'V'E'T', WYP'V, S'T'W'Q', T'E'U'W', G'GHH', TO'SR, M'L'OP, L'K'NO, I'JKL, ACT'W, CEGT', WT'R'U, T'GKO, AEKS, C'V'U'Q', WZN'U, ZT'R'N', T'F'J'R', F'GIJ', UN'QS, N'R'OQ, R'J'MO, J'IKM, ZF'MQ,.

Hence, there are 27 squares in the figure.

**Example :** Count the number of triangles in the given figure :

(A) 18 (B) 21 (C) 15 (D) 24

**Solution :** (B)

Names of Triangles —

BPN, PNE, ABM, EFG, MLK, GHI, QRO, RSO, STO, QTO, BPE, TQR, QRS, RST, STQ, MPO, GPO, LPJ, HPJ, MPG, LPH → **21 Triangles.**

**Example :** How many Parallelograms are there in following figures :

(A) 17 (B) 19 (C) 21 (D) 23

**Solutions :** (C)

Names of Parallelograms :

NJLB, JOFM, CDKB, DEFK, BIHA, IFGH, BKJA, KFGJ, CJIB, JEFI, BFGA, CDJA, DEGJ, CJHA, JEGH, CEFB, CEGA. Total → 17

Hence, there are 17 parallelograms in the figure.