Mental Ability-Basic Geometry [NCO- Cyber Olympiad (SOF) Class 10]: Questions 1 - 6 of 57

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Question 1

Basic Geometry

Question

MCQ▾

The Volume of a solid metallic sphere is 2512 . It is melted and recast into solid right circular cones of radius 5 cm and height 16 cm. Calculate the number of cones recast.

Choices

Choice (4)Response

a.

9

b.

6

c.

8

d.

7

Question 2

Basic Geometry

Question

MCQ▾

In the figure drawn below, and are parallel and . What is ?

A Triangle ABC and a Parallel Line EF

Choices

Choice (4)Response

a.

b.

c.

d.

Question 3

Basic Geometry

Question

MCQ▾

The minute hand of a clock is 20 cm long. Find the area of the face of the clock described by the minute hand between 8 AM and 8.35 AM.

Choices

Choice (4)Response

a.

b.

c.

d.

Question 4

Basic Geometry

Question

MCQ▾

Calculate the area of the shaded portion. The quadrants shown in the figure are each of radius 14 cm. Take .

A Shaded Portion Covered by Four Quadrants

Choices

Choice (4)Response

a.

b.

c.

d.

Question 5

Basic Geometry

Question

MCQ▾

The top of a ladder is leaning against a building at a point 24 feet above the ground; the bottom of the ladder is 10 feet from the building. What is the length of the ladder?

Choices

Choice (4)Response

a.

26 ft

b.

34 ft

c.

14 ft

d.

38 ft

Question 6

Basic Geometry

Question

MCQ▾

The ratio of radii of two cylinders is and heights are in the ratio 3: 5. The ratio of volumes is

Choices

Choice (4)Response

a.

3: 4

b.

1: 3

c.

4: 5

d.

3: 5

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