IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 574 - 574 of 1059

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Question number: 574

» Fractions

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Question

What should be placed in the empty space ‘? ’ so that the sum of fractions on each side of the triangle is same?

Circle cCircle c: Circle through B with center ACircle c_1Circle c_1: Circle through B_1 with center A_1Circle c_2Circle c_2: Circle through B_2 with center A_2Circle c_3Circle c_3: Circle through B_3 with center A_3Circle c_4Circle c_4: Circle through B_4 with center A_4Circle c_5Circle c_5: Circle through B_5 with center A_5Segment fSegment f: Segment [C, D] Segment f_1Segment f_1: Segment [C_1, D_1] Segment g_1Segment g_1: Segment [E_1, F_1] Segment hSegment h: Segment [G, H] Segment h_1Segment h_1: Segment [G_1, H_1] Segment g_2Segment g_2: Segment [E_2, F_2] ⧵frac {3} {11}text1 = “⧵frac {3} {11} “⧵frac {3} {11}text1 = “⧵frac {3} {11} “⧵frac {3} {11}text1 = “⧵frac {3} {11} “⧵frac {3} {11}text1 = “⧵frac {3} {11} “?text2 = “? “⧵frac {6} {11}text1_5 = “⧵frac {6} {11} “⧵frac {6} {11}text1_5 = “⧵frac {6} {11} “⧵frac {6} {11}text1_5 = “⧵frac {6} {11} “⧵frac {6} {11}text1_5 = “⧵frac {6} {11} “⧵frac {5} {11}text1_1 = “⧵frac {5} {11} “⧵frac {5} {11}text1_1 = “⧵frac {5} {11} “⧵frac {5} {11}text1_1 = “⧵frac {5} {11} “⧵frac {5} {11}text1_1 = “⧵frac {5} {11} “⧵frac {2} {11}text1_2 = “⧵frac {2} {11} “⧵frac {2} {11}text1_2 = “⧵frac {2} {11} “⧵frac {2} {11}text1_2 = “⧵frac {2} {11} “⧵frac {2} {11}text1_2 = “⧵frac {2} {11} “⧵frac {8} {11}text1_3 = “⧵frac {8} {11} “⧵frac {8} {11}text1_3 = “⧵frac {8} {11} “⧵frac {8} {11}text1_3 = “⧵frac {8} {11} “⧵frac {8} {11}text1_3 = “⧵frac {8} {11} “

Image of a Triangle Having Some Fractions

Choices

Choice (4)Response

a.

b.

c.

d.

Developed by: