IMO- Mathematics Olympiad Class 10: Questions 805 - 807 of 958

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Question number: 805

» Area, Surface Area & Volume

Data Sufficieny▾

Question

What is the volume of Equation high cylindrical tank?

Statements

  1. The area of its base is Equation

  2. The diameter of the base is Equation

Choices

Choice (4) Response

a.

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

b.

None of the statements are sufficient.

c.

Either one of the statements is sufficient.

d.

All of the statements are sufficient.

Question number: 806

» Area, Surface Area & Volume

MCQ▾

Question

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

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 807

» Triangle, Circle & Constructions

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 Equation at the center of the semi-circle. The Equation is ________.

Triangle poly1 Triangle poly1: Polygon P, Q, RTriangle poly2 Triangle poly2: Polygon A, O, BArc d Arc d: Semicircle through Q and RAngle? Angle? : Angle between A, O, BAngle? Angle? : Angle between A, O, BAngle? Angle? : Angle between A, O, BAngle? Angle? : Angle between A, Q, OAngle? Angle? : Angle between A, Q, OAngle? Angle? : Angle between A, Q, OAngle? Angle? : Angle between Q, A, OAngle? Angle? : Angle between Q, A, OAngle? Angle? : Angle between Q, A, OAngle? Angle? : Angle between B, R, OAngle? Angle? : Angle between B, R, OAngle? Angle? : Angle between B, R, OAngle? Angle? : Angle between O, B, RAngle? Angle? : Angle between O, B, RAngle? Angle? : Angle between O, B, RSegment c Segment c: Segment [P, Q] of Triangle poly1Segment b Segment b: Segment [R, P] of Triangle poly1Segment b_1 Segment b_1: Segment [A, O] of Triangle poly2Segment b_1 Segment b_1: Segment [A, O] of Triangle poly2Segment a_1 Segment a_1: Segment [O, B] of Triangle poly2Segment a_1 Segment a_1: Segment [O, B] of Triangle poly2Segment c_1 Segment c_1: Segment [B, A] of Triangle poly2Segment 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.

Equation

b.

Equation

c.

Equation

d.

Equation

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