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- Question
Count the number of triangles and squares in the given figure.
Options- Correct Answer
- 28 triangles, 6 squares
ExplanationThe figure may be labelled as shown.
Triangles:
The simplest triangles are JBO, BKO, KDO, DFO, FGO, GHO, HIO, IJO, ABJ, BCK, CKD and DEF i.e.12 in number.
The triangles composed of two components each are IBO, BDO, DGO, GIO, ABO, CDO, CBO, CBD and DEO i.e. 9 in number.
The triangles composed of four components each are IBD, BDG, DGI, GIB, ACO and COE i.e. 6 in number.
There is only one. triangle i.e. ACE composed of eight components.
Thus, there are 12 + 9 + 6 + 1 = 28 triangles in the given figure.
Squares:
The squares composed of two components each are BKOJ, KDFO, OFGH and JOHI i.e. 4 in number.
There is only one square i.e. CDOB composed of four components.
There is only one square i.e. BDGI composed of eight components.
Thus, there are 4 + 1 + 1 = 6 squares in the given figure.
More questions
- 1. Select a figure from the given four alternatives which fits exactly into Figure-X to form a complete square.
Options
Discuss
Correct Answer: 4
Explanation:
- 2. Choose the figure which is different from the rest.
(1) (2) (3) (4) (5)
Options
Discuss
Correct Answer: 3
Explanation:
In fig. (3), the arrow indicates an ACW motion while in each of the other figures, the arrow indicates a CW motion.- 5. Choose the figure which is different from the rest.
(1) (2) (3) (4) (5)
Options
Discuss
Correct Answer: 4
Explanation:
In all other figures, the arrow and the V sign lie towards the black end of the main figure.- 6. Group the given figures into three classes using each figure only once.
Options
Discuss
Correct Answer: 1,5,6 ; 2,3,4 ; 7,8,9
Explanation:
1, 5, 6 have two similar elements, one inside the other.2, 3, 4 contain straight lines each dividing, the figure into two equal parts.
7, 8, 9 have one element placed inside a different element.
- 7. Find out from amongst the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line.
(X) (1) (2) (3) (4)
Options
Discuss
Correct Answer: 2
- 8. 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)
Options
Discuss
Correct Answer: 4
Explanation:
The figure rotates through 135 oACW.- 9. 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)
Options
Discuss
Correct Answer: 4
Explanation:
The number of sides of the central figure increases by one and the number of line segments attached to the central figure decreases by one.- 10. Choose the alternative which is closely resembles the mirror image of the given combination.
![]("../../../imagesresources/questions-resources/hxMmjECnYHAzjJrN.png)
Options
Discuss
Correct Answer: 1
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- 1. Select a figure from the given four alternatives which fits exactly into Figure-X to form a complete square.