IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 701  704 of 968
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Question number: 701
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
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________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 703
» Triangle, Circle & Constructions
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.

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.

Step II: Produce to to M such that draw a semicircle with as diameter.

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

Step IV: Join NQ and NQ’. Then, NQ and NQ’ are the required tangents.
Choices
Choice (4)  Response  

a.  3 

b.  1 

c.  4 

d.  2 

Question number: 704
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. 

