# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 415 - 421 of 1484

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## Question number: 415

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MCQ▾

### Question

A cone of radius 30 cm is divided into two parts by drawing a plane through the midpoints of its axis, parallel to its base. The ratio of volumes of the two parts formed is ________.

### Choices

Choice (4) Response

a.

7: 1

b.

1: 6

c.

1: 7

d.

1: 14

## Question number: 416

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MCQ▾

### Question

The lateral surface area of a right circular cylinder with base radius 7 cm and height 15 cm is

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 417

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MCQ▾

### Question

If the distinct non-zero numbers form a geometric progression with common ratio “r”, then “r” satisfies the equation ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 418

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MCQ▾

### Question

Express as a rational expression.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 419

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MCQ▾

= ________

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 420

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MCQ▾

### Question

The base radius of a cylinder is times its height. The cost of painting its CSA at is Rs. 16.94. The volume of the liquid is ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 421

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MCQ▾

### Question

The diameter of a copper sphere is 12 cm. It is beaten and drawn into a wire of diameter 0.4 cm. The length of wire is ________.

### Choices

Choice (4) Response

a.

1800 cm

b.

3600 cm

c.

3000 cm

d.

7200 cm

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