IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 993 - 995 of 1022

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Question number: 993

» Practical Geometry - Lines and Angles

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Appeared in Year: 2012

MCQ▾

Question

In the given figure, XYZ is an equilateral triangle and XZQ is an isosceles triangle. Find .

Arc c Arc c: Semicircle through E and F Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [C, D] Segment h Segment h: Segment [C, A] Segment i Segment i: Segment [B, D] Segment j Segment j: Segment [A, D] Segment k Segment k: Segment [G, H] Segment l Segment l: Segment [I, J] X text1 = “X” Y text1_1 = “Y” Z text1_2 = “Z” Q text1_3 = “Q” O text1_4 = “O” 30â° text1_5 = “30â°”

Image of an Equilateral and an Isosceles Triangle

Showing an image of an equilateral and an isosceles triangle

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 994

» Logical and Analytical Reasoning

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Appeared in Year: 2012

MCQ▾

Question

If ‘sheet’ is called ‘pillow’, ‘pillow’ is called ‘quilt’, ‘quilt’ is called ‘mosquito net’, ‘mosquito net’ is called ‘scarf’ and ‘scarf’ is called ‘saree’, then which is used only in winters?

Choices

Choice (4) Response

a.

Quilt

b.

Scarf

c.

Pillow

d.

Mosquito net

Question number: 995

» Logical and Analytical Reasoning

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Appeared in Year: 2012

MCQ▾

Question

In the adjoining figure there is one matrix followed by four Answer Figures. In the matrix there are eight designs and one space left blank shown by question mark. Which answer figure will replace the question mark?

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 4] Quadrilateral poly2 Quadrilateral poly2: Polygon H_1, A_2, C_2, D_2 Quadrilateral poly3 Quadrilateral poly3: Polygon E_2, H_2, A_3, B_3 Quadrilateral poly2_1 Quadrilateral poly2_1: Polygon H_4, A_5, C_3, D_3 Quadrilateral poly3_1 Quadrilateral poly3_1: Polygon E_3, H_3, A_4, B_4 Quadrilateral poly3_2 Quadrilateral poly3_2: Polygon E_4, H_5, A_6, B_5 Arc c Arc c: CircumcircularArc [I, J, K] Arc d Arc d: CircumcircularArc [L, M, N] Arc e Arc e: CircumcircularArc [O, P, Q] Arc p Arc p: CircumcircularArc [R, S, T] Arc q Arc q: CircumcircularArc [U, V, W] Circle r Circle r: Circle through I_1 with center Z Arc c_1 Arc c_1: CircumcircularArc [I_3, J_1, K_1] Arc d_1 Arc d_1: CircumcircularArc [L_1, M_1, N_1] Arc e_1 Arc e_1: CircumcircularArc [O_1, P_1, Q_1] Arc p_1 Arc p_1: CircumcircularArc [R_1, S_1, T_1] Arc q_1 Arc q_1: CircumcircularArc [U_1, V_1, W_1] Circle r_1 Circle r_1: Circle through I_2 with center Z_1 Circle r_2 Circle r_2: Circle through I_4 with center Z_2 Arc c_2 Arc c_2: CircumcircularArc [I_7, J_2, K_2] Arc d_2 Arc d_2: CircumcircularArc [L_2, M_2, N_2] Arc e_2 Arc e_2: CircumcircularArc [O_2, P_2, Q_2] Arc p_2 Arc p_2: CircumcircularArc [R_2, S_2, T_2] Arc q_2 Arc q_2: CircumcircularArc [U_2, V_2, W_2] Circle r_3 Circle r_3: Circle through I_6 with center Z_4 Circle r_4 Circle r_4: Circle through I_5 with center Z_3 Circle r_5 Circle r_5: Circle through I_ {11} with center Z_7 Circle s Circle s: Circle through G_1 with center F_1 Circle s_1 Circle s_1: Circle through G_2 with center F_2 Circle s_2 Circle s_2: Circle through G_3 with center F_3 Circle s_3 Circle s_3: Circle through G_4 with center F_4 Circle s_4 Circle s_4: Circle through G_5 with center F_5 Circle s_5 Circle s_5: Circle through G_6 with center F_6 Circle s_6 Circle s_6: Circle through G_7 with center F_7 Circle s_7 Circle s_7: Circle through G_8 with center F_8 Circle s_8 Circle s_8: Circle through G_9 with center F_9 Segment f Segment f: Segment [A, B] of Polygon poly1 Segment g Segment g: Segment [B, C] of Polygon poly1 Segment h Segment h: Segment [C, D] of Polygon poly1 Segment i Segment i: Segment [D, A] of Polygon poly1 Segment j Segment j: Segment [E, F] Segment k Segment k: Segment [G, H] Segment l Segment l: Segment [A_1, C_1] Segment m Segment m: Segment [D_1, E_1] Segment n Segment n: Segment [A, A_1] Segment h_1 Segment h_1: Segment [H_1, A_2] of Quadrilateral poly2 Segment a_2 Segment a_2: Segment [A_2, C_2] of Quadrilateral poly2 Segment c_3 Segment c_3: Segment [C_2, D_2] of Quadrilateral poly2 Segment d_3 Segment d_3: Segment [D_2, H_1] of Quadrilateral poly2 Segment e_3 Segment e_3: Segment [E_2, H_2] of Quadrilateral poly3 Segment h_2 Segment h_2: Segment [H_2, A_3] of Quadrilateral poly3 Segment a_3 Segment a_3: Segment [A_3, B_3] of Quadrilateral poly3 Segment b_3 Segment b_3: Segment [B_3, E_2] of Quadrilateral poly3 Segment h_3 Segment h_3: Segment [H_4, A_5] of Quadrilateral poly2_1 Segment a_1 Segment a_1: Segment [A_5, C_3] of Quadrilateral poly2_1 Segment c_4 Segment c_4: Segment [C_3, D_3] of Quadrilateral poly2_1 Segment d_4 Segment d_4: Segment [D_3, H_4] of Quadrilateral poly2_1 Segment e_4 Segment e_4: Segment [E_3, H_3] of Quadrilateral poly3_1 Segment h_4 Segment h_4: Segment [H_3, A_4] of Quadrilateral poly3_1 Segment a_4 Segment a_4: Segment [A_4, B_4] of Quadrilateral poly3_1 Segment b_1 Segment b_1: Segment [B_4, E_3] of Quadrilateral poly3_1 Segment e_5 Segment e_5: Segment [E_4, H_5] of Quadrilateral poly3_2 Segment h_5 Segment h_5: Segment [H_5, A_6] of Quadrilateral poly3_2 Segment a_5 Segment a_5: Segment [A_6, B_5] of Quadrilateral poly3_2 Segment b_2 Segment b_2: Segment [B_5, E_4] of Quadrilateral poly3_2 ? text1 = “? “

Image of a 3×3 Matrix in Which Each Row Contains Similar Pattern

Showing an image of a 3×3 matrix in which each row contains similar pattern, so find the missing pattern

Choices

Choice (4) Response

a.

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 4] Quadrilateral poly2 Quadrilateral poly2: Polygon E, F, G, H Quadrilateral poly3 Quadrilateral poly3: Polygon I, J, K, L Quadrilateral poly3_1 Quadrilateral poly3_1: Polygon I_4, J_4, K_4, L_4 Quadrilateral poly3_2 Quadrilateral poly3_2: Polygon I_5, J_5, K_5, L_5 Segment f Segment f: Segment [A, B] of Polygon poly1 Segment g Segment g: Segment [B, C] of Polygon poly1 Segment h Segment h: Segment [C, D] of Polygon poly1 Segment i Segment i: Segment [D, A] of Polygon poly1 Segment e Segment e: Segment [E, F] of Quadrilateral poly2 Segment f_1 Segment f_1: Segment [F, G] of Quadrilateral poly2 Segment g_1 Segment g_1: Segment [G, H] of Quadrilateral poly2 Segment h_1 Segment h_1: Segment [H, E] of Quadrilateral poly2 Segment i_1 Segment i_1: Segment [I, J] of Quadrilateral poly3 Segment j Segment j: Segment [J, K] of Quadrilateral poly3 Segment k Segment k: Segment [K, L] of Quadrilateral poly3 Segment l Segment l: Segment [L, I] of Quadrilateral poly3 Segment i_2 Segment i_2: Segment [I_4, J_4] of Quadrilateral poly3_1 Segment j_1 Segment j_1: Segment [J_4, K_4] of Quadrilateral poly3_1 Segment k_1 Segment k_1: Segment [K_4, L_4] of Quadrilateral poly3_1 Segment l_1 Segment l_1: Segment [L_4, I_4] of Quadrilateral poly3_1 Segment i_3 Segment i_3: Segment [I_5, J_5] of Quadrilateral poly3_2 Segment j_2 Segment j_2: Segment [J_5, K_5] of Quadrilateral poly3_2 Segment k_2 Segment k_2: Segment [K_5, L_5] of Quadrilateral poly3_2 Segment l_2 Segment l_2: Segment [L_5, I_5] of Quadrilateral poly3_2

Image of a Pattern from Question Figure: Choice A

Showing an image of a pattern from question figure that can complete the question figure

b.

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 4] Quadrilateral poly2 Quadrilateral poly2: Polygon G, H, I, J Circle c Circle c: Circle through F with center E Circle c_1 Circle c_1: Circle through F_1 with center E_1 Circle c_2 Circle c_2: Circle through F_2 with center E_2 Segment f Segment f: Segment [A, B] of Polygon poly1 Segment g Segment g: Segment [B, C] of Polygon poly1 Segment h Segment h: Segment [C, D] of Polygon poly1 Segment i Segment i: Segment [D, A] of Polygon poly1 Segment g_1 Segment g_1: Segment [G, H] of Quadrilateral poly2 Segment h_1 Segment h_1: Segment [H, I] of Quadrilateral poly2 Segment i_1 Segment i_1: Segment [I, J] of Quadrilateral poly2 Segment j Segment j: Segment [J, G] of Quadrilateral poly2

Image of a Pattern from Question Figure: Choice B

Showing an image of a pattern from question figure that can complete the question figure

c.

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 4] Quadrilateral poly2 Quadrilateral poly2: Polygon O, P, Q, R Arc c Arc c: CircumcircularArc [E, F, G] Arc d Arc d: CircumcircularArc [G, H, I] Arc e Arc e: CircumcircularArc [I, J, K] Arc k Arc k: CircumcircularArc [K, L, M] Arc p Arc p: CircumcircularArc [M, N, E] Segment f Segment f: Segment [A, B] of Polygon poly1 Segment g Segment g: Segment [B, C] of Polygon poly1 Segment h Segment h: Segment [C, D] of Polygon poly1 Segment i Segment i: Segment [D, A] of Polygon poly1 Segment o Segment o: Segment [O, P] of Quadrilateral poly2 Segment p_1 Segment p_1: Segment [P, Q] of Quadrilateral poly2 Segment q Segment q: Segment [Q, R] of Quadrilateral poly2 Segment r Segment r: Segment [R, O] of Quadrilateral poly2

Image of a Pattern from Question Figure: Choice C

Showing an image of a pattern from question figure that can complete the question figure

d.

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 4] Quadrilateral poly2 Quadrilateral poly2: Polygon G, H, I, J Circle c Circle c: Circle through F with center E Circle c_1 Circle c_1: Circle through F_1 with center E_1 Segment f Segment f: Segment [A, B] of Polygon poly1 Segment g Segment g: Segment [B, C] of Polygon poly1 Segment h Segment h: Segment [C, D] of Polygon poly1 Segment i Segment i: Segment [D, A] of Polygon poly1 Segment g_1 Segment g_1: Segment [G, H] of Quadrilateral poly2 Segment h_1 Segment h_1: Segment [H, I] of Quadrilateral poly2 Segment i_1 Segment i_1: Segment [I, J] of Quadrilateral poly2 Segment j Segment j: Segment [J, G] of Quadrilateral poly2

Image of a Pattern from Question Figure: Choice D

Showing an image of a pattern from question figure that can complete the question figure