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English and Logical Reasoning Prep Guide
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Counting of Figures
English and Logical Reasoning Prep Guide
Exam
English and Logical Reasoning Prep Guide
Subject
Logical Reasoning
Chapter
Counting of Figures
English and Logical Reasoning Prep Guide · Logical Reasoning · Counting of Figures
How many triangles are there in the following figure?
How many triangles are there in the following figure?
Options
A
20
20
20
B
24
24
24
C
28
28
28
D
32
32
32
Correct answer
C.
28
28
28
Step-by-step solution
The triangles are :
△
F
E
B
;
△
C
B
D
;
△
F
A
G
;
△
F
E
G
;
△
B
C
I
;
△
C
D
I
;
△
A
F
I
;
△
E
F
I
;
△
B
G
C
;
△
D
C
G
;
△
A
G
I
;
△
B
I
H
;
△
A
G
B
;
△
A
B
I
;
△
H
A
B
;
△
H
B
I
\triangle \mathrm{FEB} ; \triangle \mathrm{CBD} ; \triangle \mathrm{FAG} ; \triangle \mathrm{FEG} ;\triangle \mathrm{BCI} ; \triangle \mathrm{CDI} ; \triangle \mathrm{AFI} ; \triangle \mathrm{EFI} ;\triangle \mathrm{BGC} ; \triangle \mathrm{DCG} ; \triangle \mathrm{AGI} ; \triangle \mathrm{BIH} ;\triangle \mathrm{AGB} ; \triangle \mathrm{ABI} ; \triangle \mathrm{HAB} ; \triangle \mathrm{HBI}
△
FEB
;
△
CBD
;
△
FAG
;
△
FEG
;
△
BCI
;
△
CDI
;
△
AFI
;
△
EFI
;
△
BGC
;
△
DCG
;
△
AGI
;
△
BIH
;
△
AGB
;
△
ABI
;
△
HAB
;
△
HBI
;
△
H
G
I
;
△
H
A
G
;
△
G
E
I
;
△
G
E
D
;
△
I
D
E
;
△
I
D
G
;
△
J
G
I
;
△
J
D
I
;
△
J
G
E
;
△
J
D
E
;
△
A
I
E
;
△
B
G
D
;
\triangle \mathrm{HGI} ; \triangle \mathrm{HAG} ; \triangle \mathrm{GEI} ; \triangle \mathrm{GED} ;\triangle \mathrm{IDE} ; \triangle \mathrm{IDG} ; \triangle \mathrm{JGI} ; \triangle \mathrm{JDI} ;\triangle \mathrm{JGE} ; \triangle \mathrm{JDE} ; \triangle \mathrm{AIE} ; \triangle \mathrm{BGD} ;
△
HGI
;
△
HAG
;
△
GEI
;
△
GED
;
△
IDE
;
△
IDG
;
△
JGI
;
△
JDI
;
△
JGE
;
△
JDE
;
△
AIE
;
△
BGD
;
Thus, there are 28 triangles.
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