NA

The figure may be labelled as shown.

The simplest triangles are AEH, EHI, EBF, EFI, FGC, IFG, DGH and HIG i.e. 8 in number.

The triangles composed of two components each are HEF, EFG, HFG and EFG i.e. 4 in number.

Thus, there are 8 + 4 = 12 triangles in the figure.

The smaller element gets enlarged. The larger element reduces in size; gets vertically inverted; moves inside the other element and gets attached to its upper end.

In fig. (X), one of the dots lies in the square alone, another dot lies in the region common to the square and the triangle only and the third dot lies in the region common to the circle and the triangle. In fig. (1), there is no region which lies in the square alone. In each of the figures (2) and (4), there is no region common to the circle and the triangle only. Only, fig. (3) consists of all the three types of regions.

Only in fig. (3), the marked angles are unequal.

In each one of the figurers except fig. (3), the number of half-leaves is one more than the number of line segments.

The figure may be labelled as shown.

The simplest squares are QUYX, URVY, YVSW and XYWT i.e. 4 in number.

The squares composed of two components each are IMYP, MJNY, YNKO and PYOL i.e. 4 in number.

The squares composed of three components each are AEYH, EBFY, YFCG and HYGD i.e. 4 in number.

There is only one square i.e. QRST composed of four components.

There is only one square i.e. IJKL composed of eight components.

There is only one square i.e. ABCD composed of twelve components.

Total number of squares in the given figure = 4 + 4 + 4+1 + 1 + 1 = 15.