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- Question
Count the number of convex pentagons in the adjoining figure.
Options- Correct Answer
- 12
ExplanationA convex pentagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.The figure may be labelled as shown.
The pentagons in the figure, are ABDFH, CDFHB, EFHBD, GHBDF, ACDFG, CEFHA, EGHBC, GABDE, BDEGH, DFGAB, FHACD and HBCEF. Clearly, these are 12 in number.
More questions
- 1. Choose the alternative which is closely resembles the water-image of the given combination.
Options
Discuss
Correct Answer: 2
- 4. 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 elements move downwards along the diagonal and the lowermost element moves to the uppermost position. The triangle and the half shaded rectangle get vertically inverted and the pentagon rotates 90 oCW.- 5. Find the number of triangles in the given figure.
Options
Discuss
Correct Answer: 15
Explanation:
The figure may be labelled as shown.
The simplest triangles are AKI, AIL, EKD, LFB, DJC, BJC, DHC and BCG i.e. 8 in number.
The triangles composed of two components each are AKL, ADJ, AJB and DBC i.e. 4 in number.
The triangles composed of the three components each are ADC and ABC i.e. 2 in number.
There is only one triangle i.e. ADB composed of four components.
Thus, there are 8+ 4 + 2 + 1= 15 triangles in the figure.
- 6. 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: 3
Explanation:
The line segment along one of the sides of the figure moves two spaces ACW (each space is equal to a side of the figure) and the other element moves three spaces CW.- 7. Find the missig figure of the series from the given responses:
Options
Discuss
Correct Answer: 3
Explanation:
As per the given figure in above question, we can say that
From first figure to second figure the circle and the rectangle interchange positions and the upper shaded square moves to the lower side.
Thus , figure ( 3 ) will come on the place of ? in question figure .As shown in answer figures .- 8. Choose the correct mirror image of the given figure (X) from amongst the four alternatives.
(X) (1) (2) (3) (4)
Options
Discuss
Correct Answer: 3
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- 1. Choose the alternative which is closely resembles the water-image of the given combination.