# 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 ?

### 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 .

### 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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