Analytical Reasoning - Verbal and Reasoning

Q1:

Count the number of rectangles in the given figure.

A 20

B 18

C 16

D 15

ANS:A - 20

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)