Find the number of triangles in the given figure. 28 32 36 40 The figure may be

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Question
Find the number of triangles in the given figure.
Options
A. 28
B. 32
C. 36
D. 40

Correct Answer

36

Explanation

The figure may be labelled as shown.

Find the number of triangles in the given figure. 28 32 36 40 The figure may be labelled as shown. T

The simplest triangles are AML, LRK, KWD, DWJ, JXI, IYC, CYH, HTG, GOB, BOF, FNE and EMA i.e. 12 in number.

The triangles composed of two components each are AEL, KDJ, HIC and FBG i.e. 4 in number.

The triangles composed of three components each are APF, EQB, BQH, GVC, CVJ, IUD, DUL and KPA i.e. 8 in number.

The triangles composed of six components each are ASB, BSC, CSD, DSA, AKF, EBH, CGJ and IDL i.e. 8 in number.

The triangles composed of twelve components each are ADB, ABC, BCD and CDA i.e. 4 in number.

Total number of triangles in the figure = 12 + 4 + 8 + 8 + 4 = 36.

More questions

1. Choose the correct mirror image of the given figure (X) from amongst the four alternatives.

(X) (1) (2) (3) (4)
Options
A. 1
B. 2
C. 3
D. 4

4. Group the given figures into three classes using each figure only once.
Options
A. 7,8,9 ; 2,4,3 ; 1,5,6
B. 1,3,2 ; 4,5,7 ; 6,8,9
C. 1,6,8 ; 3,4,7 ; 2,5,9
D. 1,6,9 ; 3,4,7 ; 2,5,8

5. Find the question mark ? figure from answer figure:
Options
A. 1
B. 2
C. 3
D. 4

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
A. 1
B. 2
C. 3
D. 4
E. 5

7. 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
A. 1
B. 2
C. 3
D. 4
E. 5

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