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Question

How many triangles and squares are there in the following figure ?
309445.jpg

A
28 triangles, 5 squares
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B
24 triangles, 4 squares
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C
28 triangles, 4 squares
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D
24 triangles, 5 squares
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Solution

The correct option is D 28 triangles, 5 squares
Possible triangles are :
1.ABI, 2.AIH, 3. BGI, 4. GHI, 5. BCJ, 6. BGJ,7. CFJ, 8. FGJ, 9. CDK, 10. CFK, 11.DEK,12. EFK, 13.ABH, 14. BGH, 15. AGH, 16. ABG, 17. BCG, 18. BCF, 19. BFG, 20. CFG, 21. CDE, 22. CEF, 23. CDF, 24. DEF, 25. ACG, 26. BDF, 27. BFH, 28. CEG
Possible squares are :
1. ABGH, 2. BCFG, 3. CDEF, 4. BJGI, 5. FJCK

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