IMO- Mathematics Olympiad Class 8: Questions 454 - 459 of 1029

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Question number: 454

» Mensuration

MCQ▾

Question

In the given figure PQRS is a rectangle inscribed in a circle with center O and radius r. The total area of shaded region is________.

PQRS rectangle is inscribed in a circle of center O and radiusR

PQRS Rectangle Is Inscribed in a Circle of Center O and radiusR

Find out total area of shaded region of inscribing rectangle in a circle

Choices

Choice (4) Response

a.

4r24r

b.

π(r22)

c.

r2(π2)

d.

πr2ab

Question number: 455

» Mensuration

MCQ▾

Question

The dimensions of an open box are 30 cm, 20 cm and 11 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weights 1 gms, find the weight of the box.

Choices

Choice (4) Response

a.

1.99 kg

b.

4.561 kg

c.

1.860 kg

d.

2.856 kg

Question number: 456

» Mensuration

MCQ▾

Question

If the area of a triangle with base a is equal to area of a square of side a, the altitude of the triangle is________.

Choices

Choice (4) Response

a.

a2

b.

2a

c.

2a

d.

a

Question number: 457

» Mensuration

MCQ▾

Question

Two cubes have their volumes in the ratio 1: 64. Find the ratio of their surface areas.

Choices

Choice (4) Response

a.

1: 9

b.

16: 3

c.

7: 9

d.

1: 16

Question number: 458

» Mensuration

MCQ▾

Question

The radius of a cylinder is tripled but its lateral surface area is unchanged. Then its height must be________.

Choices

Choice (4) Response

a.

Halved

b.

One third

c.

Doubled

d.

Constant

Question number: 459

» Mensuration

MCQ▾

Question

A cylindrical tower is 7 meters in diameter and 15 meters height. The cost of white washing its curved surface at 75 paisa per m2 is

Choices

Choice (4) Response

a.

257

b.

250

c.

240

d.

247

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