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INET Figures Counting Test 105
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INET Figures Counting Test 105

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  • Question 1/10
    1 / -0.33
    How many triangles are there in the given figure?

    Solutions
    The triangles are: ACE, ACI, AIE, IHE, AGH, AHE, AGE, CGE, IDE, CID, CED, BCG, BAG, BCE, ABE, AFE, ABC, ADE & ACD.

    .

    So there are 20 triangles in the given figure.

    Hence, option A is the correct answer.

  • Question 2/10
    1 / -0.33
    many triangles are in the given figure?
    Solutions
    Total number of triangles = 22

    10 triangles in the upper half.
    10 triangles in the lower half.
    2 triangles sharing a common vertex.
    Hence, option B is correct.
  • Question 3/10
    1 / -0.33
    How many triangles are there in the given figure?
    Solutions

    The triangles are - AHL, BFM, ACD, ADE, FNE, NLK, KMJ, MIJ, IHG, ACE, BGC, MIK, AHJ, AJL, BDM, DMF, AGM, ANM.
    Hence, there are 18 triangles in total.
    Hence, option D is the correct answer.
  • Question 4/10
    1 / -0.33
    Count the number of squares in the given figure.

    Solutions
    The figure may be labelled as shown.



    The simplest squares are EFRQ, MQYX, QRZY, RNSZ, LXWK, XYA1W, YZB1A1, ZSTB1, SGHT, WA1VP, A1B1UV, B1TOU and VUIJ i.e. 13 in number.
    The squares having two components each are AEYL, FBGZ, KA1JD and B1HCI i.e. 4 in number.
    The squares having four components each are MRB1W, QNTA1 XZUP and YSOV i.e. 4 in number.
    The squares having seven components each are AFB1K, EBHA1 LZID and YGCJ i.e. 4 in number.
    There is only one square i.e. MNOP composed of nine components.
    There is only one square i.e. ABCD composed of seventeen components.
    There are 13+ 4 + 4 + 4+1 + 1 = 27 squares in the figure.

    Hence, option D is the correct answer.
  • Question 5/10
    1 / -0.33
    How many triangles are there in the given figure?

    Solutions

    The triangles that we get from the given figure are,
    ABO, BCO, COD, DOA,
    ACB, ACD, ABD, DBC,
    AOG, GOD, BOH, OHC,
    ELD, KFC, AIM, BNJ,
    KOL, NOM, AEK, BLF, MJC & IND.     
    Thus we get 22 triangles.
    Hence, option (C) is the correct response.
  • Question 6/10
    1 / -0.33
    How many triangles are there in the given figure?

    Solutions
    ABC, ADK, AEK, DCK, CKG, ACH, ACF, ACK, EKF, FKJ, KGH, JKH, CFH, AHF, FKH, FHI, FIC, ABH, AKF, CKH.
    Therefore, there are 20 triangles.
    Hence, the correct option is C
  • Question 7/10
    1 / -0.33
    How many triangles are there in the given figure?
    Solutions

    The triangles that we get from the given figure are,
    ABF, BCF, ACF, CFI, HIF, HGF, GIF, GEF, EAF, GAF, AGI, ACI, AGC, GIC, ADE, DEG, JKG, KGL, JGL, ADG, ADF, DFG.
    Thus we get 22 triangles.
  • Question 8/10
    1 / -0.33
    How many squares are there in the square figure ABCD?

    Solutions
    1 big and 16 small
    4 small squares (2 lines)
    2 squares within side by side and 2 squares up and down and 1 central square (2 lines)
    4 medium squares (3 lines)
    1+16+4+2+2+4+1=30
    Hence option D is correct.
  • Question 9/10
    1 / -0.33
    How many triangles are there in the given figure?
    Solutions

    Name of the triangle present in the figure are ABI, BCI, CID, DIE, FIE, GIF, GHI, AHI, AGI, ACI, GIE, CIE, AGC, GCE, AGE, ACE.
    Hence, there are 16 triangles present in figure.
  • Question 10/10
    1 / -0.33
    How many triangles are there in the following figure?

    Solutions

    Name of the triangle present in the figure are
    AEC, EFG, EGD, GHD, HID, DIC, BIC, EHC, EHD, HDC, AED, ADC, AEH, AHC, EFD, BDC, AFD, ABD.
    So, there are 18 triangles present in figure.

    Hence, option A is correct.
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