# Grouping of Identical Figures

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# Grouping of Identical Figures

### Description

An arrangement of nine figures, which are numbered are given. Examine these figures and characterise them along with gatherings comprising of figures having more or less the same properties. The best answer is to be chosen for from a given arrangement of genuinely close options.

### Model Problems

Model 1: There are two classes of three figures each. (S.S.C. 2004) Class "A" figures differ in certain course from figures in class 'B'. Which two four answer figures belong to class 'A'? Here, figures are labelled as A, B, C and D respectively. Options: - a) A and C b) A and B c) B and D d) B and C Solution:
Each figure in class A consists of two similar closed figures, one placed inside the other. Hence, figure (d) is the answer.
Model 2: Select the given figures into three sections using each figure only once. (S.S.C. 2003) Options: - a) 1, 5, 8; 2, 6, 7; 3, 4, 9 b) 1, 5, 7; 2, 6, 8; 3, 4, 5 c) 1, 5, 8; 2, 4, 7; 3, 6, 9 d) 1, 5, 8; 2, 6, 9; 3, 4, 7 Solution:
3, 6, 9 are geometrical figures containing line segments parallel to the sides of the figure. 1, 5, 8 consist of a circle and a triangle intersecting it. The triangle is also divided into two equal parts by a straight line. 2, 4, 7 are all funnel shaped figures. Hence figure (c) is the correct answer.
Model 3: Select the given figures into three sections using each figure only once. (S.S.C. 2005) Options: - a) 2, 4, 7; 1, 6, 9; 3, 5, 8 b) 1, 3, 5; 2, 6, 7; 4, 8, 9 c) 1, 5, 7; 2, 3, 6; 4, 8, 9 d) 1, 3, 5; 2, 4, 7; 6, 8, 9 Solution:
1, 6, 9 are figures which are half shaded by slanting lines. 2, 4, 7 are all divided into equal parts by straight lines and also have a black circle at the centre. hence figure (a) is the answer.
Model 4: Select the given figures into three sections using each figure only once. (S.S.C. 2004) Options: - a) 1, 4, 7; 3, 6, 9; 2, 5, 8 b) 1, 6, 9; 2, 4, 7; 3, 5, 8 c) 1, 4, 7; 2, 6, 9; 3, 5, 8 d) 1, 5, 7; 2, 6, 9; 3, 4, 8 Solution:
3, 5, 8 have similar designs with four leaves placed close to a small circle and forming a symmetrical design at the centre of the figure. 2, 6, 9 have a similar designs with three of the corners of the main figure are shaded black and there is a pattern formed around a '+' sign at the centre of the figure. 1, 4, 7 have similar designs with four small circles at the corners of the main figure and there is a wheel shaped element at the centre of the figure. Hence, figure (c) is the answer.
Model 5: Select the given figures into three sections using each figure only once. Options: - a) 1, 2, 6; 3, 4, 7; 5 b) 1, 3; 2, 6; 4, 5, 7 c) 1, 2, 6, 7; 3; 4, 5 d) 1, 3; 2, 4, 5; 6, 7 Solution:
1, 3 contain a V-shaped element inside a geometrical figure. 2, 4, 5 contain two similar elements, one placed inside the other and touching it. 6, 7 contain geometrical figures which are divided into four equal parts by two mutually perpendicular straight lines. Hence figure (d) is the answer.
Model 6: Select the given figures into three sections using each figure only once. Options: - a) 1, 4; 2, 3; 5, 6 b) 1, 5; 2, 6; 4, 3 c) 1, 6; 2, 3; 4, 5 d) 1, 2; 3, 6; 4, 5 Solution:
(1, 4), (2, 3) and (5, 6) are three different pair of identical figures. Hence figure (a) is the answer.
Model 7: Select the given figures into three sections using each figure only once. Options: - a) 1, 3, 9; 2, 5, 8; 4, 6, 7 b) 1, 5, 8; 4, 6, 7; 2, 3, 9 c) 2, 5, 9; 1, 3, 8; 2, 6, 7 d) 1, 8, 9, 4, 6, 7; 2, 3, 5 Solution:
1, 5, 8 are all open figures bisected by a line segment. 4, 6, 7 are all closed figures touching a line segment. 2, 3, 9 are all closed figures intersected by a line. Hence, figure (b) is the answer.
Model 8: Select the given figures into three sections using each figure only once. (S.S.C. 2007) Options: - a) 1, 4, 7; 2, 5, 8; 3, 6, 9 b) 1, 4, 7; 2, 5, 9; 3, 6, 7 c) 1, 3, 4; 2, 5, 8; 6, 7, 9 d) 1, 2, 3; 4, 5, 6; 7, 8, 9 Solution:
1, 4, 7 are two-dimensional quadrilaterals. 2, 5, 8 are all three-dimensional figures. 3, 6, 9 are all two-dimensional triangles. Hence, figure (a) is the answer.
Model 9: Select the given figures into three sections using each figure only once. (S.S.C. 2004) Options: - a) 1, 2, 4; 3, 5, 6; 7, 8, 9 b) 1, 7, 8; 3, 5, 6; 2, 4, 9 c) 1, 3, 4; 2, 8, 9; 5, 6, 7 d) 1, 7, 8; 2, 3, 6; 4, 5, 9 Solution:
1, 7, 8 are all undivided geometrical figures. 3, 5, 6 are geometrical figures divided into two parts. 2, 4, 9 are geometrical figures divided into four parts. Hence, figure (b) is the answer.
Model 10: Select the given figures into three sections using each figure only once. (S.S.C. 2002) Options: - a) 7, 8, 9; 2, 4, 3; 1, 5, 6 b) 1, 3, 2; 4, 5, 7; 6, 8, 9 c) 1, 6, 8; 3, 4, 7; 2, 5, 9 d) 1, 6, 9; 3, 4, 7; 2, 5, 8 Solution:
1, 6, 9 are all triangles. 3, 4, 7 are all four-sided figures. 2, 5, 8 are all five-sided figures. Hence, figure (d) is the answer.