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- Question
What is the number of straight lines and the number of triangles in the given figure.
Options- Correct Answer
- 9 straight lines and 36 triangles
ExplanationThe figure may be labelled as shown.
The Horizontal lines are DF and BC i.e. 2 in number.
The Vertical lines are DG, AH and FI i.e. 3 in number.
The Slanting lines are AB, AC, BF and DC i.e. 4 in number.
Thus, there are 2 + 3 + 4 = 9 straight lines in the figure.
Now, we shall count the number of triangles in the figure.
The simplest triangles are ADE, AEF, DEK, EFK, DJK, FLK, DJB, FLC, BJG and LIC i.e. 10 in number.
The triangles composed of two components each are ADF, AFK, DFK, ADK, DKB, FCK, BKH, KHC, DGB and FIC i.e. 10 in number.
The triangles composed of three components each are DFJ and DFL i.e. 2 in number.
The triangles composed of four components each are ABK, ACK, BFI, CDG, DFB, DFC and BKC i.e. 7 in number.
The triangles composed of six components each are ABH, ACH, ABF, ACD, BFC and CDB i.e. 6 in number.
There is only one triangle i.e. ABC composed of twelve components.
There are 10 + 10 + 2 + 7 + 6+ 1 = 36 triangles in the figure.
More questions
- 4. Select the figure which satisfies the same conditions of placement of the dots as in Figure-X.
Options
Discuss
Correct Answer: 3
Explanation:
In fig. (X), one of the dots lies in the region common to the square and the triangle and another dot lies in the region common to the circle and the triangle. In each of the alternatives (1), (2) and (4), the region common to the square and the triangle lies within the circle. Therefore, in each of these figures, there is no region common to the square and the triangle only. Only the alternative (3) consists of a region common to the square and the triangle only and another region common to the circle and the triangle only. Hence, fig. (3) is the answer.- 8. Choose the figure which is different from the rest.
(1) (2) (3) (4) (5)
Options
Discuss
Correct Answer: 1
Explanation:
In all other figures, there are two small line segments towards the pin and three small line segments towards the arrow.- 9. 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: 1
Explanation:
One, two, three, one, two, three.....arcs get inverted sequentially. This inversion takes place in an ACW direction.- 10. 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: 2
Explanation:
Similar figure reappears in every second step. Each time the first figure reappears, the elements interchange positions in the order :
. And, each time the second figure reappears, the elements interchange positions in the order :
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- 4. Select the figure which satisfies the same conditions of placement of the dots as in Figure-X.