Fractions (IMO- Mathematics Olympiad Class 6): Questions 76 - 76 of 96

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Question number: 76

» Fractions

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Question

How many parts should be shaded in the figure A to make it the same fraction as the unshaded part in the figure B?

Triangle poly1 Triangle poly1: Polygon A, B, CTriangle poly2 Triangle poly2: Polygon C_1, D_1, E_1Quadrilateral poly3 Quadrilateral poly3: Polygon F_1, G_1, H_1, I_1Quadrilateral poly3_1 Quadrilateral poly3_1: Polygon F_2, G_2, H_2, I_2Quadrilateral poly3_2 Quadrilateral poly3_2: Polygon F_3, G_4, H_4, I_4Quadrilateral poly3_3 Quadrilateral poly3_3: Polygon F_4, G_7, H_7, I_8Quadrilateral poly3_4 Quadrilateral poly3_4: Polygon F_5, G_ {10}, H_ {10}, I_ {12} Quadrilateral poly3_5 Quadrilateral poly3_5: Polygon F_7, G_ {15}, H_ {15}, I_ {19} Quadrilateral poly3_6 Quadrilateral poly3_6: Polygon F_9, G_ {20}, H_ {20}, I_ {26} Quadrilateral poly3_7 Quadrilateral poly3_7: Polygon F_ {11}, G_ {25}, H_ {25}, I_ {33} Segment c Segment c: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment b Segment b: Segment [C, A] of Triangle poly1Segment g Segment g: Segment [G, H] Segment h Segment h: Segment [H, J] Segment i Segment i: Segment [J, K] Segment j Segment j: Segment [K, G] Segment k Segment k: Segment [I, L] Segment l Segment l: Segment [M, N] Segment m Segment m: Segment [O, P] Segment n Segment n: Segment [Q, R] Segment p Segment p: Segment [S, T] Segment q Segment q: Segment [U, V] Segment r Segment r: Segment [W, Z] Segment s Segment s: Segment [A_1, B_1] Segment e_1 Segment e_1: Segment [C_1, D_1] of Triangle poly2Segment c_1 Segment c_1: Segment [D_1, E_1] of Triangle poly2Segment d_1 Segment d_1: Segment [E_1, C_1] of Triangle poly2Segment f_1 Segment f_1: Segment [F_1, G_1] of Quadrilateral poly3Segment g_1 Segment g_1: Segment [G_1, H_1] of Quadrilateral poly3Segment h_1 Segment h_1: Segment [H_1, I_1] of Quadrilateral poly3Segment i_1 Segment i_1: Segment [I_1, F_1] of Quadrilateral poly3Segment f_2 Segment f_2: Segment [F_2, G_2] of Quadrilateral poly3_1Segment g_2 Segment g_2: Segment [G_2, H_2] of Quadrilateral poly3_1Segment h_2 Segment h_2: Segment [H_2, I_2] of Quadrilateral poly3_1Segment i_2 Segment i_2: Segment [I_2, F_2] of Quadrilateral poly3_1Segment f_3 Segment f_3: Segment [F_3, G_4] of Quadrilateral poly3_2Segment g_4 Segment g_4: Segment [G_4, H_4] of Quadrilateral poly3_2Segment h_4 Segment h_4: Segment [H_4, I_4] of Quadrilateral poly3_2Segment i_4 Segment i_4: Segment [I_4, F_3] of Quadrilateral poly3_2Segment f_4 Segment f_4: Segment [F_4, G_7] of Quadrilateral poly3_3Segment g_7 Segment g_7: Segment [G_7, H_7] of Quadrilateral poly3_3Segment h_7 Segment h_7: Segment [H_7, I_8] of Quadrilateral poly3_3Segment i_7 Segment i_7: Segment [I_8, F_4] of Quadrilateral poly3_3Segment f_5 Segment f_5: Segment [F_5, G_ {10} ] of Quadrilateral poly3_4Segment g_ {10} Segment g_ {10}: Segment [G_ {10}, H_ {10} ] of Quadrilateral poly3_4Segment h_ {10} Segment h_ {10}: Segment [H_ {10}, I_ {12} ] of Quadrilateral poly3_4Segment i_ {10} Segment i_ {10}: Segment [I_ {12}, F_5] of Quadrilateral poly3_4Segment f_6 Segment f_6: Segment [F_7, G_ {15} ] of Quadrilateral poly3_5Segment g_ {15} Segment g_ {15}: Segment [G_ {15}, H_ {15} ] of Quadrilateral poly3_5Segment h_ {14} Segment h_ {14}: Segment [H_ {15}, I_ {19} ] of Quadrilateral poly3_5Segment i_ {14} Segment i_ {14}: Segment [I_ {19}, F_7] of Quadrilateral poly3_5Segment f_7 Segment f_7: Segment [F_9, G_ {20} ] of Quadrilateral poly3_6Segment g_ {20} Segment g_ {20}: Segment [G_ {20}, H_ {20} ] of Quadrilateral poly3_6Segment h_ {18} Segment h_ {18}: Segment [H_ {20}, I_ {26} ] of Quadrilateral poly3_6Segment i_ {18} Segment i_ {18}: Segment [I_ {26}, F_9] of Quadrilateral poly3_6Segment f_8 Segment f_8: Segment [F_ {11}, G_ {25} ] of Quadrilateral poly3_7Segment g_ {25} Segment g_ {25}: Segment [G_ {25}, H_ {25} ] of Quadrilateral poly3_7Segment h_ {22} Segment h_ {22}: Segment [H_ {25}, I_ {33} ] of Quadrilateral poly3_7Segment i_ {22} Segment i_ {22}: Segment [I_ {33}, F_ {11} ] of Quadrilateral poly3_7Figure A text1 = “Figure A”Figure B text1_1 = “Figure B”

Image of a Triangle and Rectangle Having Some Shaded Parts

Find the number of parts to be shaded in the figure A to make it same fraction as the unshaded part in the figure B

Choices

Choice (4) Response

a.

3

b.

12

c.

2

d.

8

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