IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 813 - 817 of 968

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Question number: 813

» Area, Surface Area & Volume

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MCQ▾

Question

The areas of two concentric circles are and respectively. The width of the ring is________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 814

» Triangle, Circle & Constructions

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MCQ▾

Question

In a plane 2 lines and a circle are given. If points intersection of two lines or that of a line with the circle are counted, the maximum number of points intersections possible in this is________

Choices

Choice (4) Response

a.

10

b.

6

c.

8

d.

5

Question number: 815

» Area, Surface Area & Volume

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MCQ▾

Question

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 number: 816

» Area, Surface Area & Volume

Edit
MCQ▾

Question

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 number: 817

» Triangle, Circle & Constructions

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MCQ▾

Question

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