IMO- Mathematics Olympiad (SOF) Class 7: Questions 583 - 584 of 1012

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Question number: 583

» Practical Geometry - Lines and Angles

MCQ▾

Question

In the figure (not drawn to scale), ABCD is a quadrilateral, BED and AEC are straight lines and EB = EC. Find y.

Arc c Arc c: Semicircle through F and GArc d Arc d: Semicircle through H and IArc e Arc e: Semicircle through J and KSegment f Segment f: Segment [A, B] Segment g Segment g: Segment [B, C] Segment h Segment h: Segment [C, D] Segment i Segment i: Segment [D, A] Segment j Segment j: Segment [A, C] Segment k Segment k: Segment [D, B] Segment l Segment l: Segment [L, M] Segment m Segment m: Segment [N, O] Point A A = (7.11,1.08) Point A A = (7.11,1.08) Point A A = (7.11,1.08) Point B B = (7.11,4.54) Point B B = (7.11,4.54) Point B B = (7.11,4.54) Point C C = (5.17,4.54) Point C C = (5.17,4.54) Point C C = (5.17,4.54) Point D D = (4.31,1.05) Point D D = (4.31,1.05) Point D D = (4.31,1.05) Point E Point E: Intersection point of j, kPoint E Point E: Intersection point of j, kPoint E Point E: Intersection point of j, k38â° text1 = “38â°”62â° text1_1 = “62â°”y text2 = “y”

Image Made by a Quadrilateral ABCD

Showing an image made by a quadrilateral ABCD, so find y.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 584

» Comparing Quantities

MCQ▾

Question

A person by selling a book for Rs. 575, loses 25%, In order to make a profit of 15%, what is the price at which he must sell?

Choices

Choice (4) Response

a.

Rs. 862

b.

Rs. 882

c.

Rs. 762

d.

Rs. 789

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