# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 464 - 470 of 1484

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## Question number: 464

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MCQ▾

### Question

If then =________.

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 465

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MCQ▾

### Question

If m and n are the rots of , then = ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 466

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MCQ▾

### Question

Find the quadratic polynomial which is exactly divided by and .

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 467

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MCQ▾

### Question

The sum of and its reciprocal is

### Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## 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.

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