IMO- Mathematics Olympiad (SOF) Class 7: Questions 642 - 643 of 1012

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Question number: 642

» Comparing Quantities

MCQ▾

Question

The value of a machine depreciates every year by 5%. If the present value of the machine be Rs. 100,000, what will be its value after two years?

Choices

Choice (4) Response

a.

Rs. 99,250

b.

Rs. 90,250

c.

Rs. 99,000

d.

Rs. 100,050

Question number: 643

» Triangle and Its Properties

MCQ▾

Question

In the figure (not drawn to scale), ABCD is a rhombus, FHI is an equilateral triangle and CEFG is a trapezium with EC parallel to FG, DCFI, BCG and GFH are straight lines. Find x and y respectively.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, DTriangle poly2 Triangle poly2: Polygon C, E, FTriangle poly3 Triangle poly3: Polygon C, G, FTriangle poly4 Triangle poly4: Polygon F, H, IArc k Arc k: Semicircle through J and KArc p Arc p: Semicircle through L and MArc q Arc q: Semicircle through N and OSegment a Segment a: Segment [A, B] of Quadrilateral poly1Segment b Segment b: Segment [B, C] of Quadrilateral poly1Segment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, A] of Quadrilateral poly1Segment f Segment f: Segment [C, E] of Triangle poly2Segment c_1 Segment c_1: Segment [E, F] of Triangle poly2Segment e Segment e: Segment [F, C] of Triangle poly2Segment f_1 Segment f_1: Segment [C, G] of Triangle poly3Segment c_2 Segment c_2: Segment [G, F] of Triangle poly3Segment g Segment g: Segment [F, C] of Triangle poly3Segment i Segment i: Segment [F, H] of Triangle poly4Segment f_2 Segment f_2: Segment [H, I] of Triangle poly4Segment h Segment h: Segment [I, F] of Triangle poly4Vector u Vector u: Vector [P, Q] Vector u Vector u: Vector [P, Q] Vector u_1 Vector u_1: Vector [P_1, Q_1] Vector u_1 Vector u_1: Vector [P_1, Q_1] Point A A = (1.48,2.08) Point A A = (1.48,2.08) Point A A = (1.48,2.08) Point B B = (5.12,2.04) Point B B = (5.12,2.04) Point B B = (5.12,2.04) Point C C = (5.9,4.66) Point C C = (5.9,4.66) Point C C = (5.9,4.66) Point D D = (2.44,4.7) Point D D = (2.44,4.7) Point D D = (2.44,4.7) Point E E = (8.24,2) Point E E = (8.24,2) Point E E = (8.24,2) Point F F = (8.28,4.64) Point F F = (8.28,4.64) Point F F = (8.28,4.64) Point G G = (6.48,6.64) Point G G = (6.48,6.64) Point G G = (6.48,6.64) Point H H = (9.88,2.64) Point H H = (9.88,2.64) Point H H = (9.88,2.64) Point I I = (11,4.64) Point I I = (11,4.64) Point I I = (11,4.64) x text1 = “x”y text1_1 = “y”60â° text1_2 = “60â°”

Image of a Rhombus, Trapezium and Triangle

Showing an image of a rhombus, triangle and trapezium, so find angles x and y

Choices

Choice (4) Response

a.

b.

c.

d.

f Page
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