IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 711 - 714 of 968

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Question 711

Question

MCQ▾

The diameter of the driving wheel of a bus is How many revolutions per minute must the wheel make in order to keep a speed of per hour?

Choices

Choice (4)Response

a.

100

b.

243

c.

110

d.

280

Question 712

Question

MCQ▾

If the radii of the circular ends of a bucket of height are of lengths and , then the volume of the bucket in cubic centimeters, is________.

Choices

Choice (4)Response

a.

24556

b.

25454

c.

12555

d.

21560

Question 713

Question

MCQ▾

Give Below are the steps of construction of a pair of tangents to a circle of radius from a point on the concentric circle of radius . Find which of the following step is wrong?

  1. Step-1: Take a point O on the plane paper and draw a circle of radius Also, draw a concentric circle of radius
  2. Step-2: Find the mid-point A of OB and draw a circle of radius suppose this circle intersects the circle of radius at P and Q.
  3. Step-3: Join BP and BQ to get the desired tangents.
Draw Two Circle as Given in the Diagram

Choices

Choice (4)Response

a.

Only 2

b.

Only 1

c.

2 and 3

d.

1 and 2

Question 714

Question

MCQ▾

is right angled at Q. The radius of the incircle is________.

Triangle PQR is Right Angled

Choices

Choice (4)Response

a.

b.

c.

d.