IMO- Mathematics Olympiad Class 6: Questions 581 - 581 of 1049

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Question number: 581

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Question

Which of the following is true for the shaded parts of the models shows?

Quadrilateral poly1_1 Quadrilateral poly1_1: Polygon A_1, B_1, C_1, D_1Quadrilateral poly1_2 Quadrilateral poly1_2: Polygon A_2, B_2, C_2, D_2Quadrilateral poly1_3 Quadrilateral poly1_3: Polygon A_3, B_3, C_3, D_3Quadrilateral poly1_4 Quadrilateral poly1_4: Polygon A_4, B_4, C_4, D_4Quadrilateral poly1_5 Quadrilateral poly1_5: Polygon A_5, B_5, C_5, D_5Quadrilateral poly1_6 Quadrilateral poly1_6: Polygon A_8, B_8, C_8, D_ {11} Quadrilateral poly1_7 Quadrilateral poly1_7: Polygon A_9, B_ {10}, C_9, D_ {13} Quadrilateral poly1_8 Quadrilateral poly1_8: Polygon A_ {10}, B_ {12}, C_ {10}, D_ {14} Quadrilateral poly1_9 Quadrilateral poly1_9: Polygon A_ {13}, B_ {34}, C_ {20}, D_ {33} Quadrilateral poly1_ {13} Quadrilateral poly1_ {13}: Polygon A_ {17}, B_ {45}, C_ {24}, D_ {41} Quadrilateral poly1_ {14} Quadrilateral poly1_ {14}: Polygon A_ {18}, B_ {46}, C_ {25}, D_ {43} Quadrilateral poly1_ {15} Quadrilateral poly1_ {15}: Polygon A_ {19}, B_ {47}, C_ {26}, D_ {45} Quadrilateral poly1_ {19} Quadrilateral poly1_ {19}: Polygon A_ {24}, B_ {60}, C_ {32}, D_ {62} Quadrilateral poly1_ {22} Quadrilateral poly1_ {22}: Polygon A_ {31}, B_ {80}, C_ {39}, D_ {87} Segment a_1 Segment a_1: Segment [A_1, B_1] of Quadrilateral poly1_1Segment b_1 Segment b_1: Segment [B_1, C_1] of Quadrilateral poly1_1Segment c_1 Segment c_1: Segment [C_1, D_1] of Quadrilateral poly1_1Segment d_1 Segment d_1: Segment [D_1, A_1] of Quadrilateral poly1_1Segment a_2 Segment a_2: Segment [A_2, B_2] of Quadrilateral poly1_2Segment b_2 Segment b_2: Segment [B_2, C_2] of Quadrilateral poly1_2Segment c_2 Segment c_2: Segment [C_2, D_2] of Quadrilateral poly1_2Segment d_2 Segment d_2: Segment [D_2, A_2] of Quadrilateral poly1_2Segment a_3 Segment a_3: Segment [A_3, B_3] of Quadrilateral poly1_3Segment b_3 Segment b_3: Segment [B_3, C_3] of Quadrilateral poly1_3Segment c_3 Segment c_3: Segment [C_3, D_3] of Quadrilateral poly1_3Segment d_3 Segment d_3: Segment [D_3, A_3] of Quadrilateral poly1_3Segment a_4 Segment a_4: Segment [A_4, B_4] of Quadrilateral poly1_4Segment b_4 Segment b_4: Segment [B_4, C_4] of Quadrilateral poly1_4Segment c_4 Segment c_4: Segment [C_4, D_4] of Quadrilateral poly1_4Segment d_4 Segment d_4: Segment [D_4, A_4] of Quadrilateral poly1_4Segment a_5 Segment a_5: Segment [A_5, B_5] of Quadrilateral poly1_5Segment b_5 Segment b_5: Segment [B_5, C_5] of Quadrilateral poly1_5Segment c_5 Segment c_5: Segment [C_5, D_5] of Quadrilateral poly1_5Segment d_5 Segment d_5: Segment [D_5, A_5] of Quadrilateral poly1_5Segment a_6 Segment a_6: Segment [A_8, B_8] of Quadrilateral poly1_6Segment b_6 Segment b_6: Segment [B_8, C_8] of Quadrilateral poly1_6Segment c_6 Segment c_6: Segment [C_8, D_ {11} ] of Quadrilateral poly1_6Segment d_6 Segment d_6: Segment [D_ {11}, A_8] of Quadrilateral poly1_6Segment a_7 Segment a_7: Segment [A_9, B_ {10} ] of Quadrilateral poly1_7Segment b_7 Segment b_7: Segment [B_ {10}, C_9] of Quadrilateral poly1_7Segment c_7 Segment c_7: Segment [C_9, D_ {13} ] of Quadrilateral poly1_7Segment d_7 Segment d_7: Segment [D_ {13}, A_9] of Quadrilateral poly1_7Segment a_8 Segment a_8: Segment [A_ {10}, B_ {12} ] of Quadrilateral poly1_8Segment b_8 Segment b_8: Segment [B_ {12}, C_ {10} ] of Quadrilateral poly1_8Segment c_8 Segment c_8: Segment [C_ {10}, D_ {14} ] of Quadrilateral poly1_8Segment d_8 Segment d_8: Segment [D_ {14}, A_ {10} ] of Quadrilateral poly1_8Segment a_9 Segment a_9: Segment [A_ {13}, B_ {34} ] of Quadrilateral poly1_9Segment b_9 Segment b_9: Segment [B_ {34}, C_ {20} ] of Quadrilateral poly1_9Segment c_9 Segment c_9: Segment [C_ {20}, D_ {33} ] of Quadrilateral poly1_9Segment d_9 Segment d_9: Segment [D_ {33}, A_ {13} ] of Quadrilateral poly1_9Segment a_ {10} Segment a_ {10}: Segment [A_ {14}, B_ {36} ] of Quadrilateral poly1_ {10} Segment b_ {10} Segment b_ {10}: Segment [B_ {36}, C_ {21} ] of Quadrilateral poly1_ {10} Segment c_ {10} Segment c_ {10}: Segment [C_ {21}, D_ {35} ] of Quadrilateral poly1_ {10} Segment d_ {10} Segment d_ {10}: Segment [D_ {35}, A_ {14} ] of Quadrilateral poly1_ {10} Segment a_ {11} Segment a_ {11}: Segment [A_ {15}, B_ {39} ] of Quadrilateral poly1_ {11} Segment b_ {11} Segment b_ {11}: Segment [B_ {39}, C_ {22} ] of Quadrilateral poly1_ {11} Segment c_ {11} Segment c_ {11}: Segment [C_ {22}, D_ {37} ] of Quadrilateral poly1_ {11} Segment d_ {11} Segment d_ {11}: Segment [D_ {37}, A_ {15} ] of Quadrilateral poly1_ {11} Segment a_ {12} Segment a_ {12}: Segment [A_ {16}, B_ {42} ] of Quadrilateral poly1_ {12} Segment b_ {12} Segment b_ {12}: Segment [B_ {42}, C_ {23} ] of Quadrilateral poly1_ {12} Segment c_ {12} Segment c_ {12}: Segment [C_ {23}, D_ {39} ] of Quadrilateral poly1_ {12} Segment d_ {12} Segment d_ {12}: Segment [D_ {39}, A_ {16} ] of Quadrilateral poly1_ {12} Segment a_ {13} Segment a_ {13}: Segment [A_ {17}, B_ {45} ] of Quadrilateral poly1_ {13} Segment b_ {13} Segment b_ {13}: Segment [B_ {45}, C_ {24} ] of Quadrilateral poly1_ {13} Segment c_ {13} Segment c_ {13}: Segment [C_ {24}, D_ {41} ] of Quadrilateral poly1_ {13} Segment d_ {13} Segment d_ {13}: Segment [D_ {41}, A_ {17} ] of Quadrilateral poly1_ {13} Segment a_ {14} Segment a_ {14}: Segment [A_ {18}, B_ {46} ] of Quadrilateral poly1_ {14} Segment b_ {14} Segment b_ {14}: Segment [B_ {46}, C_ {25} ] of Quadrilateral poly1_ {14} Segment c_ {14} Segment c_ {14}: Segment [C_ {25}, D_ {43} ] of Quadrilateral poly1_ {14} Segment d_ {14} Segment d_ {14}: Segment [D_ {43}, A_ {18} ] of Quadrilateral poly1_ {14} Segment a_ {15} Segment a_ {15}: Segment [A_ {19}, B_ {47} ] of Quadrilateral poly1_ {15} Segment b_ {15} Segment b_ {15}: Segment [B_ {47}, C_ {26} ] of Quadrilateral poly1_ {15} Segment c_ {15} Segment c_ {15}: Segment [C_ {26}, D_ {45} ] of Quadrilateral poly1_ {15} Segment d_ {15} Segment d_ {15}: Segment [D_ {45}, A_ {19} ] of Quadrilateral poly1_ {15} Segment a_ {16} Segment a_ {16}: Segment [A_ {20}, B_ {48} ] of Quadrilateral poly1_ {16} Segment b_ {16} Segment b_ {16}: Segment [B_ {48}, C_ {28} ] of Quadrilateral poly1_ {16} Segment c_ {16} Segment c_ {16}: Segment [C_ {28}, D_ {47} ] of Quadrilateral poly1_ {16} Segment d_ {16} Segment d_ {16}: Segment [D_ {47}, A_ {20} ] of Quadrilateral poly1_ {16} Segment a_ {17} Segment a_ {17}: Segment [A_ {21}, B_ {51} ] of Quadrilateral poly1_ {17} Segment b_ {17} Segment b_ {17}: Segment [B_ {51}, C_ {29} ] of Quadrilateral poly1_ {17} Segment c_ {17} Segment c_ {17}: Segment [C_ {29}, D_ {50} ] of Quadrilateral poly1_ {17} Segment d_ {17} Segment d_ {17}: Segment [D_ {50}, A_ {21} ] of Quadrilateral poly1_ {17} Segment a_ {19} Segment a_ {19}: Segment [A_ {24}, B_ {60} ] of Quadrilateral poly1_ {19} Segment b_ {19} Segment b_ {19}: Segment [B_ {60}, C_ {32} ] of Quadrilateral poly1_ {19} Segment c_ {19} Segment c_ {19}: Segment [C_ {32}, D_ {62} ] of Quadrilateral poly1_ {19} Segment d_ {19} Segment d_ {19}: Segment [D_ {62}, A_ {24} ] of Quadrilateral poly1_ {19} Segment a_ {20} Segment a_ {20}: Segment [A_ {25}, B_ {62} ] of Quadrilateral poly1_ {20} Segment b_ {20} Segment b_ {20}: Segment [B_ {62}, C_ {33} ] of Quadrilateral poly1_ {20} Segment c_ {20} Segment c_ {20}: Segment [C_ {33}, D_ {64} ] of Quadrilateral poly1_ {20} Segment d_ {20} Segment d_ {20}: Segment [D_ {64}, A_ {25} ] of Quadrilateral poly1_ {20} Segment a_ {22} Segment a_ {22}: Segment [A_ {31}, B_ {80} ] of Quadrilateral poly1_ {22} Segment b_ {22} Segment b_ {22}: Segment [B_ {80}, C_ {39} ] of Quadrilateral poly1_ {22} Segment c_ {22} Segment c_ {22}: Segment [C_ {39}, D_ {87} ] of Quadrilateral poly1_ {22} Segment d_ {22} Segment d_ {22}: Segment [D_ {87}, A_ {31} ] of Quadrilateral poly1_ {22} Segment a_ {23} Segment a_ {23}: Segment [A_ {32}, B_ {83} ] of Quadrilateral poly1_ {23} Segment b_ {23} Segment b_ {23}: Segment [B_ {83}, C_ {40} ] of Quadrilateral poly1_ {23} Segment c_ {23} Segment c_ {23}: Segment [C_ {40}, D_ {91} ] of Quadrilateral poly1_ {23} Segment d_ {23} Segment d_ {23}: Segment [D_ {91}, A_ {32} ] of Quadrilateral poly1_ {23} Segment a_ {18} Segment a_ {18}: Segment [A_ {34}, B_ {89} ] of Quadrilateral poly1_ {18} Segment b_ {18} Segment b_ {18}: Segment [B_ {89}, C_ {42} ] of Quadrilateral poly1_ {18} Segment c_ {18} Segment c_ {18}: Segment [C_ {42}, D_ {100} ] of Quadrilateral poly1_ {18} Segment d_ {18} Segment d_ {18}: Segment [D_ {100}, A_ {34} ] of Quadrilateral poly1_ {18} Segment a_ {24} Segment a_ {24}: Segment [A_ {35}, B_ {92} ] of Quadrilateral poly1_ {24} Segment b_ {24} Segment b_ {24}: Segment [B_ {92}, C_ {43} ] of Quadrilateral poly1_ {24} Segment c_ {24} Segment c_ {24}: Segment [C_ {43}, D_ {105} ] of Quadrilateral poly1_ {24} Segment d_ {24} Segment d_ {24}: Segment [D_ {105}, A_ {35} ] of Quadrilateral poly1_ {24} Segment a_ {25} Segment a_ {25}: Segment [A_ {36}, B_ {95} ] of Quadrilateral poly1_ {25} Segment b_ {25} Segment b_ {25}: Segment [B_ {95}, C_ {44} ] of Quadrilateral poly1_ {25} Segment c_ {25} Segment c_ {25}: Segment [C_ {44}, D_ {110} ] of Quadrilateral poly1_ {25} Segment d_ {25} Segment d_ {25}: Segment [D_ {110}, A_ {36} ] of Quadrilateral poly1_ {25} Model-1 text1 = “Model-1”Model-2 text1_1 = “Model-2”

Image Having Two Different Models Having Shaded Parts

Find the true relationship of both models having some shaded parts

A: Shaded part of Model-1, B: shaded part of model -2

Choices

Choice (4) Response
a.

AB

b.

A=B

c.

A<B

d.

A>B

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