# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 348 - 353 of 1484

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## Question number: 348

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MCQ▾

### Question

The height of a cone is 15 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is the volume of cone, the height at which the section is made is ________.

### Choices

Choice (4) Response

a.

9.79 cm

b.

7.79 cm

c.

7.97 cm

d.

9.97 cm

## Question number: 349

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MCQ▾

### Question

Ratio of lateral surface areas of two cylinders with equal heights and radius of 6 cm and 3 cm respectively is

### Choices

Choice (4) Response

a.

1: 5

b.

2: 1

c.

1: 2

d.

Question does not provide sufficient data or is vague

## Question number: 350

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MCQ▾

### Question

The first four terms of an arithmetic sequence are a, x, b, 2x. The ratio of a to b is

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 351

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MCQ▾

### Question

If is exactly divisible by , then p = ________.

### Choices

Choice (4) Response

a.

16

b.

- 1

c.

4

d.

None of the above

## Question number: 352

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MCQ▾

### Question

The sum of 10 terms of is

### Choices

Choice (4) Response

a.

110. log2

b.

log10

c.

55. log2

d.

log55

## Question number: 353

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MCQ▾

### Question

If then = ________.

### Choices

Choice (4) Response

a.

b.

c.

1

d.

Question does not provide sufficient data or is vague

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