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- Question
Count the number of triangles and squares in the given figure.
Options- Correct Answer
- 40 triangles, 7 squares
ExplanationThe figure may be labelled as shown.
Triangles:
The simplest triangles are BGM, GHM, HAM, ABM, GIN, UN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e. 18 in number.
The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ, LJI, LKD, KDE, DEL and ELK i.e. 16 in number.
The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e. 6 in number.
Total number of triangles in the figure = 18 +16 + 6 = 40.
Squares :
The squares composed of two components each are MGNH, NIOJ and OKPL i.e. 3 in number.
The squares composed of four components each are BGHA, GIJH, IKLJ and KDEL i.e. 4 in number.
Total number of squares in the figure = 3 + 4 = 7.
More questions
- 1. Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.
Options
Discuss
Correct Answer: 145
Explanation:
- 5. Select a figure from amongst the Answer Figures which will continue the same series as established by the five Problem Figures.
Problem Figures: Answer Figures:
(A) (B) (C) (D) (E) (1) (2) (3) (4) (5)
Options
Discuss
Correct Answer: 4
Explanation:
The line segment rotates through 90 o and moves to the adjacent portion of the rhombus in an ACW direction in first, third, fifth, ... steps. The other symbol moves to the adjacent portion of the rhombus in an ACW direction and also gets replaced by a new symbol in second, fourth, sixth,... steps.- 6. Identify the figure that completes the pattern.
(X) (1) (2) (3) (4)
Options
Discuss
Correct Answer: 3
Explanation:
- 10. Choose a figure which would most closely resemble the unfolded form of Figure (Z).
Options
Discuss
Correct Answer: 3
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- 1. Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.