SSC CGL Previous Year Questions: Counting of Figures/Figure Formation & Analysis, Grouping of Figures - 2 - SSC CGL MCQ

ΔABC, ΔADC, ΔDBC, ΔAEG, ΔBFH
ΔEIG, ΔEID, ΔIGJ, ΔIDJ,
ΔDKJ, ΔDFK, ΔKJH, ΔKFH
ΔEDG, ΔDJG, ΔEGJ, ΔDJG
ΔDFJ, ΔFHJ, ΔDHJ, ΔDFH
ΔADG, ΔDGH, ΔDBH, ΔJEF
ΔGJC, ΔHJC, ΔGHC = 28 Triangles 28 × 2 = 56 Triangles.

All the components of question figure are present in the Answer Figure (d).

It is difficult to balance the ball and the jar in the position as shown in Answer figure (c)

All the components of Question Figure are present in Answer Figure (c)

10 cubes are visible and 10 cubes are hidden. Clear ly, there is one column having four cubes.
There are two columns each having three cubes.
There are three columns, each having two cubes.
There are four columns, each having only one cube.
Thus, total number of cubes = 4 +  6 + 6 + 4 = 20 cubes

There 14 triangles in the given figure. These are AHO, ACB, BHO, BAD, ABE, ABD, BAF, ABG, AOF,
AFD, BOG, BGC, ADO and BOC.

All the components of the question figure are present in the Answer Figure (a).

All the components of the Question Figure are present in the answer figure (b).

There are 28 triangles are formed in given figure.

There are 28 triangles are in the given figure:
EOH, EDH, OFH, HFC, EFD, OGF, GBF, GFH, AGE, EOG,
EGF, GEH, AJI, IKE, KGJ, IJK, LBM, PMF, GPL, LMP,
RQC, SRH, SFQ, SQR, DTU, EVT, TVU and VUH.

The rectangles are : ABKJ; JKHI; BCLK;
KLGH; CDML; LMFG;
ACGI; ACLJ; JLGI;
BDFH; BDMK; KMFH;
ADFI; ADMJ; JMFI
ABHI, BCGH and CDFG are squares. We know that every square is a rectanlge. But its reverse is not always true.
Note: By option only its easy to analyze.

The triangles are:
ΔAIH; ΔAIE; ΔEIB; ΔBFI;
ΔIHC; ΔIGC; ΔIGD; ΔDFI;
ΔIAB; ΔIBD; ΔICD; ΔIAC;
ΔBAC; ΔACD; ΔBDC; BDA
Total triangles = 16

The triangles are:
ΔABC ; ΔABD ; ΔADC ; ΔAFC ;
ΔFDC ; ΔAFB ; ΔFDB ; ΔFBC;
ΔGBD ; ΔADE ; ΔGBE ; ΔFDG ;
ΔDBE ;

The figure may be labelled as shown.

The simplest triangles are ABG, BIG, BIC, CIH, GIH, CDH, HED, GHJ, HJE, FEJ, GFJ and AGF i.e. 12 in number.
The triangles composed of two components each are ABF, CDE, GBC, BCH, GHG, BHG, GHF, GHE, HEF and GEF i.e. 10 in number.
The triangles composed of three components each are ABH, AFH, CDG and GDE i.e. 4 in number.
The triangles composed of four components each are BHF and CGE i.e. 2 in number.
Total number of triangles in the figure = 12 + 10 + 4 + 2 = 28.
Thus, there are 28 triangles.