IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 781 - 782 of 968

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Question number: 781

» Area, Surface Area & Volume

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Question

A cylindrical vessel of diameter 6 is partly filled with water. 200 lead balls are dropped in it. The rise in water level is The diameter of each ball is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 782

» Triangle, Circle & Constructions

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Two circles of radii and intersect each other and length of common chord is The distance between their centres is________.

Circle c Circle c: Circle through B_1 with center A Circle d Circle d: Circle through D with center B Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [P, Q] Segment h Segment h: Segment [A, P] Segment i Segment i: Segment [A, Q] Segment j Segment j: Segment [P, B] Segment k Segment k: Segment [B, Q] Point A A = (6.24,0.7) Point A A = (6.24,0.7) Point A A = (6.24,0.7) Point B B = (8.32,0.7) Point B B = (8.32,0.7) Point B B = (8.32,0.7) Point P Point P: Intersection point of c, d Point P Point P: Intersection point of c, d Point P Point P: Intersection point of c, d Point Q Point Q: Intersection point of c, d Point Q Point Q: Intersection point of c, d Point Q Point Q: Intersection point of c, d Point M Point M: Intersection point of f, g Point M Point M: Intersection point of f, g Point M Point M: Intersection point of f, g

Two Circles Intersect Each Other

Two circles of radii 8 cm and 5 cm intersect each other and length of common chord is 14 cm

Choices

Choice (4) Response

a.

b.

c.

d.