cubes & dice model question set 3 Detailed Explanation And More Example

Answer: (c)

Horizontal lines = BL, CK, DJ, EI = 4

Slant lines = AE, LF, KG, AI, BH, CG, DF = 7

∴ Total number of straight lines = 4 + 7 = 11

Answer: (b)

In the given diagram, there are 22 triangles which can be better understood with the help of following diagram.

In the above figures,

Triangles consisting of 1 unit are ΔADG, ΔAGH, ΔAHE, ΔDMF, ΔFME, ΔDIB, ΔIBJ, ΔJBF, ΔCFL, ΔCLK and ΔCKE i.e., 11 triangles.

Triangles consisting of 2 units are ΔADH, ΔAGE, ΔDFE, ΔDBJ, ΔIBF, ΔECL and ΔCKF i.e., 7 triangles.

Triangles consisting of 3 units are ΔADE, ΔBDF and ΔCFE i.e., 3 triangles.

Triangles consisting of whole figure is ΔABC i.e., 1 triangle.

So, the total number of triangles = 11 + 7 + 3 + 1 = 22.

Answer: (d)

Pentagons in the figure as follow

Smallest pentagons = KLABM, BCDEN, EFGHO, HIJKP = 4

Medium pentagons = KMBEH, BNEHK, EOHKB, HPKBE = 4

Largest pentagons = KMBFG, BNEIJ, EOHLA, HPKCD = 4

∴Total pentagons = 4 + 4 + 4 = 12

Answer: (d)

Answer: (b)

Answer: (c)