IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 805 - 807 of 968

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Question number: 805

» Area, Surface Area & Volume

Edit
Data Sufficieny▾

Question

What is the volume of high cylindrical tank?

Statements

  1. The area of its base is

  2. The diameter of the base is

Choices

Choice (4) Response

a.

Either one of the statements is sufficient.

b.

None of the statements are sufficient.

c.

All of the statements are sufficient.

d.

Only statement Ⅱ is sufficient, while others are not sufficient.

Question number: 806

» Area, Surface Area & Volume

Edit
MCQ▾

Question

If the radii of the circular ends of a conical bucket are and and the height is The capacity of the bucket is________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 807

» Triangle, Circle & Constructions

Edit
MCQ▾

Question

The sides MN and MO of a triangle MNO meet the semicircle in P and Q respectively. NO is the diameter of a semicircle. PQ subtends at the center of the semi-circle. The is ________.

Triangle poly1 Triangle poly1: Polygon P, Q, R Triangle poly2 Triangle poly2: Polygon A, O, B Arc d Arc d: Semicircle through Q and R Angle? Angle? : Angle between A, O, B Angle? Angle? : Angle between A, O, B Angle? Angle? : Angle between A, O, B Angle? Angle? : Angle between A, Q, O Angle? Angle? : Angle between A, Q, O Angle? Angle? : Angle between A, Q, O Angle? Angle? : Angle between Q, A, O Angle? Angle? : Angle between Q, A, O Angle? Angle? : Angle between Q, A, O Angle? Angle? : Angle between B, R, O Angle? Angle? : Angle between B, R, O Angle? Angle? : Angle between B, R, O Angle? Angle? : Angle between O, B, R Angle? Angle? : Angle between O, B, R Angle? Angle? : Angle between O, B, R Segment c Segment c: Segment [P, Q] of Triangle poly1 Segment b Segment b: Segment [R, P] of Triangle poly1 Segment b_1 Segment b_1: Segment [A, O] of Triangle poly2 Segment b_1 Segment b_1: Segment [A, O] of Triangle poly2 Segment a_1 Segment a_1: Segment [O, B] of Triangle poly2 Segment a_1 Segment a_1: Segment [O, B] of Triangle poly2 Segment c_1 Segment c_1: Segment [B, A] of Triangle poly2 Segment f Segment f: Segment [C, D] Segment f Segment f: Segment [C, D] Segment g Segment g: Segment [E, F] Segment g Segment g: Segment [E, F] M text1 = “M” N text2 = “N” O text3 = “O” A text6 = “A” P text4 = “P” Q text5 = “Q”

Triangle and Semicircle

The sides MN and MO of a triangle MNO meet the semicircle in P and Q respectively. NO is the diameter of a semicircle. PQ subtends 120 (degree) at the center of the semi-circle.

Choices

Choice (4) Response

a.

b.

c.

d.