IMO- Mathematics Olympiad (SOF) Class 10: Questions 701 - 704 of 958

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Question number: 701

» Area, Surface Area & Volume

MCQ▾

Question

A man runs around a circle of radius at a speed of The time taken by him for going around it five times is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 702

» Area, Surface Area & Volume

MCQ▾

Question

O is the center of a circle of diameter and is a square, if the shaded area is area of the square, then the side of square is________.

 Circle and square

Circle and Square

O is the center of the circle, diameter 6 cm. and OMNR is a square. A shaded area is 1/3 area of square.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 703

» Triangle, Circle & Constructions

MCQ▾

Question

Give below are the steps of construction of (without using the center of the circle radius) two tangents to the circle from point N.

  1. Step I: Draw a line segment Take a point N outside the circle and draw a secant NOR, intersecting the circle at O and R.

  2. Step II: Produce to to M such that draw a semi-circle with as diameter.

  3. Step III: Draw intersecting the semi-circle at P. with N as center and MN as radius draw arcs to intersect the given circle at Q and Q’.

  4. Step IV: Join NQ and NQ’. Then, NQ and NQ’ are the required tangents.

Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

1

Question number: 704

» Area, Surface Area & Volume

MCQ▾

Question

A cylindrical vessel of diameter is partly filled with water. 100 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.

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