Select a suitable figure from the Answer Figures that would replace the question mark (?).

Problem Figures:                            Answer Figures:

    (A)     (B)      (C)     (D)                  (1)      (2)      (3)      (4)      (5)

The number of sides in the main figure reduces by one; the two circles present inside it, move outside and reach the positions on either side of this figure; a new black circle appears inside the figure.

The arrow rotates 135 ^oCW and the remaining part of the figure rotates 90 ^oACW.

The upper-left and the lower-right elements rotate 90 ^oCW while the upper-right and the lower-left elements rotate 90 ^oACW.

The arrow rotates 135 ^oCW and moves a distance equal to one and a half sides of the square boundary in a CW direction. Out of the two central elements, the outer element diminishes in size and becomes the inner element, the inner element moves to the position of the corner element and the corner element gets enlarged and moves to the central position to become the outer element.

The figure rotates through 135 ^oACW.

The upper and the lower elements interchange places; the element that reaches the upper position gets laterally inverted; the element that reaches the lower position gets laterally inverted and its head also gets laterally inverted; the line segment inside the square (central element) rotates 45 ^oCW.

The elements move in the sequence the elements reaching the upper-left and the lower-right positions rotate 90 ^oACW; the elements reaching the upper-right and lower-left positions rotate 90 ^oCW; the central element rotates 90 ^oACW and gets laterally inverted.

The figure may be labelled as shown.

The simplest parallelograms are EMLA and NIDJ i.e. 2 in number.

The parallelograms composed of two components each are BFMG, CGNH, GMKN, FGME, GHNM, MNKL, FGNM, GHIN and MNJK i.e. 9 in number.

The parallelograms composed of three components each are FGLA, ENKA, GHDJ and MIDK ie. 4 in number.

The parallelograms composed of four components each are FGJK, GHKL, FBNK, CHKM, EFHN and MFHI i.e. 6 in number.

The parallelograms composed of seven components each are FHKA and FHDK i.e. 2 in number.

Total number of parallelograms in the figure = 2 + 9 + 4 + 6 + 2 = 23.

The figure may be labelled as shown.

The parallelograms composed of two components each are ADME, DFNM, EMOG, FHJN, MNKO, GOLI, HBJN, NJKO, OKLI, FHNM, MNOG, DFME, HJKN, NKLO, OLCI, FNOM, MOIG and DMGE. i.e. 18 in number.

The parallelograms composed of four components each are HOKB, NILJ, FGOH, HOLJ, NICK, FGIN, FMJB, DENH, MGKJ, MGCL, DEIO, FMLK, AENF, AGOD, DMJH, DOKF, EILM and EGKN i.e. 18 in number.

The parallelograms composed of six components each are AEJH, DAIL, DECL, DEJB, HILB and HICJ i.e. 6 in number.

The parallelograms composed of eight components each are FGKB, FGCK and AGKF i.e. 3 in number.

Total number of parallelograms in the figure = 18 + 18 + 6 + 3 = 45.

The figure may be labelled as shown.

The rectangles composed of two components each are HIJE, EKJ,F, FMNG, GPQH, AEOH, EBFO, OFCG and HOGD i.e. 8 in number.

The rectangles composed of four components each are ABFH, BCGE, CDHF, DAEG and EFGH i.e. 5 in number.

The rectangles composed of six components each are IJFG, KLGH, MNHE and PQEF i.e. 4 in number.

The rectangles composed of eight components each are IJMN, KLPQ and ABCD i.e. 3 in number.

Thus, there are 8 + 5 + 4 + 3 = 20 rectangles in the given figure.

(Here note that the squares are also counted amongst rectangles)