# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 165 - 170 of 224

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## Question number: 165

» Mathematics » Trigonometry

MCQ▾

### Question

The perimeter of an equilateral triangle whose area is is

### Choices

Choice (4) Response

a.

8 cm

b.

3 cm

c.

4 cm

d.

12 cm

## Question number: 166

» Mathematics » Coordinate Geometry

MCQ▾

### Question

The coordinate of the point which divide the line segment joining and internally in ratio is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 167

MCQ▾

### Question

A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of its radius and the height of its conical part is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 168

» Mathematics » Probability

MCQ▾

### Question

A coin is tossed 5 times. What is the probability of getting number of heads more than the number of tails?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 169

» Mathematics » Basic Geometry

MCQ▾

### Question

If the length of a rectangle is increased by and the area is unchanged, then by how much percent does the breadth decrease?

### Choices

Choice (4) Response

a.

%

b.

c.

%

d.

## Question number: 170

» Mathematics » Mensuration

MCQ▾

### Question

A hollow sphere of internal and external diameters 4 cm and 8 cm, respectively is melted into a cone of base diameter 8 cm. The height of the cone is

### Choices

Choice (4) Response

a.

16 cm

b.

11 cm

c.

12 cm

d.

14 cm

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