# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 468 - 473 of 1484

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## Question number: 468

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MCQ▾

### Question

In a geometric sequence of real numbers, the sum of the first two terms is 14 and the sum of the first six terms is 182. The sum of the first four terms is

### Choices

Choice (4)Response

a.

32

b.

28

c.

68

d.

56

## Question number: 469

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MCQ▾

### Question

The solution of is

### Choices

Choice (4)Response

a.

b.

or

c.

d.

None of the above

## Question number: 470

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MCQ▾

### Question

If the first term of an infinite geometric series is a positive integer, the common ratio is the reciprocal of positive integer and the sum of the series is 6, then the sum of the first two terms of the series is ________.

### Choices

Choice (4)Response

a.

b.

c.

3

d.

## Question number: 471

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MCQ▾

### Question

A cuboidal metal of dimensions was melted and cast into a cylinder of height 28 cm. Its radius is ________.

### Choices

Choice (4)Response

a.

44 cm

b.

15 cm

c.

30 cm

d.

All of the above

## Question number: 472

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MCQ▾

### Question

The cost of painting the TSA of cone at is Rs. 17.60. The volume of the cone its slant height being 25 cm is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 473

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MCQ▾

### Question

The three sides of a right triangles have integral lengths which form an AP. One of the sides could have length

### Choices

Choice (4)Response

a.

58

b.

22

c.

31

d.

25

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