IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 815 - 818 of 968

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Question 815

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.

110

c.

124

d.

243

Question 816

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.

250

b.

243

c.

200

d.

280

Question 817

Question

MCQ▾

Let ABC be a right triangle in which . BD is the perpendicular from B on AC. The circle through B, C, and D is drawn from A to this circle. Given below are the steps of constructions of a pair of tangents. Find out the wrong step.

  1. Step I: Draw and perpendicular BD from B on AC.
  2. Step II: Draw a circle with BC as a diameter. This circle will pass through D.
  3. Step III: Let O be the mid-point of BC. Join AO.
  4. Step IV: Draw a circle with AO as diameter. This circle cuts the circle drawn in step II B at P. joins AO, AP and AB are desired tangents. Drawn from A to the circle passing through B, C and D.

Choices

Choice (4)Response

a.

Only 4

b.

Only 1

c.

Only 3

d.

Only 2

Question 818

Question

MCQ▾

The perimeter of a sector of a circle of radius is The area of the sector is________.

Choices

Choice (4)Response

a.

b.

c.

d.