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43.
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Count
the number of triangles and squares in the given figure.
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A.
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28 triangles, 10
squares
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B.
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28 triangles, 8 squares
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C.
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32 triangles, 10
squares
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D.
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32 triangles, 8 squares
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Answer: Option C
Explanation:
The figure may be labelled as shown.
Triangles :
The simplest triangles are IJQ, JKQ, KLQ,
LMQ, MNQ, NOQ, OPQ and PIQ i.e. 8 in number. The triangles composed of two
components each are ABQ, BCQ, CDQ, DEQ, EFQ, FGQ, GHQ, HAQ, IKQ, KMQ, MOQ and
OIQ i.e. 12 in number.
The triangles composed of four components
each are ACQ, CEQ, EGQ, GAQ, IKM, KMO, MOI and OIK i.e. 8 in number.
The triangles composed of eight components
each are ACE, CEG, EGA and GAC i.e. 4 in number.
Total number of triangles in the figure = 8 +
12 + 8 + 4 = 32.
Squares :
The squares composed of two components each
are IJQP, JKLQ, QLMN and PQNO i.e. 4 in number.
The squares composed of four components each
are ABQH, BCDQ, QDEF and HQFG i.e. 4 in number.
There is only one square i.e. IKMO composed
of eight components.
There is only one square i.e. ACEG composed
of sixteen components.
Thus, there are 4 + 4 + 1 + 1= 10 squares in
the given figure.
Title :
Analytical Reasoning Q43
Description : 43. Count the number of triangles and squares in the given figure. A. 28 tri...
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