REASONING | NON VERBAL | ANALYTICAL REASONING | EXERCISE 2

DIRECTIONS : Count the number of cubes in each of the following figures.
6.
A.   8 B.   10
C.   11D. 12

 Ans : A. The simplest triangles are ABG, BCG, CGE, CDE, AGE and AEF i.e. 6 in number.
7.
A.  21 B.   23
C.   25 D.   27
Ans : B. The figure may be labelled as shown. The simplest triangles are GLK, DLJ, DJM, HMN, QRE, IRA, IPA, and FPO i.e. 8 in number. Thus there are 8 + 10 + 5 + 2 + 1 + 1 = 27 triangles in the figure.
8.
A.  4 B.   5
C.   6 D.   7
 Ans : B. We may label the figure as shown. The simplest triangles are ADE, BDF, DEF and EFC. i.e., 4 in figure. There is only one triangle ABC composed of four components. Thus, there are 4 + 1 = 5 triangles in the given figure.
9.
A.   15 B.  16
C.   16 D.   18
 Ans : C. The figure may be labelled as shown. The simple triangles are ABF, BFG, BCG, CGH, GHD, GED, EFG, and AFG i.e. 8 in number. Thus there are 8 + 5 + 4  = 17 triangles in the given figure.
10.
A.   16 B.   13
C.  9 D.   7
Ans : A. The figure may be labelled as shown. The simple triangles are AGE, EGC, GFC, BGF, DGB and ADG i.e., 6 in number. Thus there are 6 + 3 + 6 + 1 = 16 triangles in the given figure.

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