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- Question
Find the number of triangles in the given figure.
Options- Correct Answer
- 10
ExplanationThe figure may be labelled as shown.
The simplest triangles are ABG, BCG, CGE, CDE, AGE and AEF i.e. 6 in number.
The triangles composed of two components each are ABE, ABC, BCE and ACE i.e. 4 in number.
There are 6 + 4 = 10 triangles in the figure.
Analytical Reasoning problems
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- 1. 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:
All the arrows reverse their directions.- 2. 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: 1
Explanation:
The existing line segments that join the corners of the squares move to the adjacent corners in an ACW direction and one more line segment appears in the next corner at the ACW-end. The shading inside the innermost square changes from dots to slanting lines.- 3. 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: 2
Explanation:
The figure rotates 90 oCW and gets laterally inverted.- 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: 3
Explanation:
The two elements interchange positions; the element that reaches the LHS position gets vertically inverted and the element that reaches the RHS position, rotates 90 oACW.- 5. 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 inner element gets enlarged, rotates 45 oCW and becomes the outer element. The outer element reduces in size, gets vertically inverted and becomes the inner element.- 6. Find the minimum number of straight lines required to make the given figure.
Options
Discuss
Correct Answer: 13
Explanation:
The figure may be labelled as shown.
The horizontal lines are IJ, AB, EF, MN, HG, DC and LK i.e. 7 in number.
The vertical lines are AD, EH, IL, FG, BC and JK i.e. 6 in number.
Thus, there are 7 + 6 = 13 straight lines in the figure.
- 7. Find the minimum number of straight lines required to make the given figure.
Options
Discuss
Correct Answer: 14
Explanation:
The figure may be labelled as shown.
The horizontal lines are AK, BJ, CI, DH and EG i.e. 5 in number.
The vertical lines are AE, LF and KG i.e. 3 in number.
The slanting lines are LC, CF, FI, LI, EK and AG i.e. 6 in number.
Thus, there are 5 + 3 + 6 = 14 straight lines in the figure.
- 8. 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 AFB, FEB, EBC, DEC, DFE and AFD i.e. 6 in number.
The triangles composed of two components each are AEB, FBC, DFC, ADE, DBE and ABD i.e. 6 in number.
The triangles composed of three components each are ADC and ABC i.e. 2 in number.
There is only one triangle i.e. DBC which is composed of four components.
Thus, there are 6 + 6 + 2 + 1 = 15 triangles in the figure.
- 9. What is the number of straight lines and the number of triangles in the given figure.
Options
Discuss
Correct Answer: 9 straight lines and 36 triangles
Explanation:
The 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.
- 10. Find the number of triangles in the given figure.
Options
Discuss
Correct Answer: 17
Explanation:
The figure may be labelled as shown.
The simplest triangles are ABF, BFG, BCG, CGH, GHD, GED, EFG and AFE i.e. 8 in number.
The triangles composed of two components each are ABG, BGE, AGE, ABE and GCD i.e. 5 in number.
The triangles composed of three components each are BCD, CDE, BED and BCE i.e. 4 in number.
Thus, there are 8 + 5 + 4 = 17 triangles in the figure.
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- 1. Select a suitable figure from the Answer Figures that would replace the question mark (?).